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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1601. |
Find x: if √(x + √(x + √(x… ∞))) = 6 |
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Answer» Find x: if √(x + √(x + √(x… ∞))) = 6 Solution: |
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| 1602. |
∠c and ∠d are vertical angles with m∠c = -3x + 58 and m∠d = x - 2 . What is m∠d? |
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Answer» ∠c and ∠d are vertical angles with m∠c = -3x + 58 and m∠d = x - 2 . What is m∠d?
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| 1603. |
Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form. |
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Answer» Rewrite f(x) = -2(x - 3)2+ 2 from vertex form to standard form. Solution: |
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| 1604. |
Figure LMNO is a parallelogram. What is the value of x? |
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Answer» Figure LMNO is a parallelogram. What is the value of x?
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| 1605. |
In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°. What is the measure of angle ABC? |
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Answer» In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°. What is the measure of Angle ABC?
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| 1606. |
Find the area of the region bounded by the hyperbola 9x2- 4y2= 36 and the line x = 3 |
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Answer» Find the area of the region bounded by the hyperbola 9x2 - 4y2 = 36 and the line x = 3 Solution: |
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| 1607. |
In which quadrant is the number -14 - 5i located on the complex plane? |
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Answer» In which quadrant is the number -14 - 5i located on the complex plane? Solution: |
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| 1608. |
Write the point-slope form of the line passing through (2, -12) and parallel to y = 3x. |
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Answer» Write the point-slope form of the line passing through (2, -12) and parallel to y = 3x. Solution: |
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| 1609. |
Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 ≤ x ≤ 2 |
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Answer» Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 ≤ x ≤ 2 Solution: |
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| 1610. |
How do you find an exponential function of the form f(x) = abx that has the given y-intercept (0, 2); passing through P = (-1, 2/5)? |
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Answer» How do you find an exponential function of the form f(x) = abxthat has the given y-intercept (0, 2); passing through P = (-1, 2/5)? Solution: |
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| 1611. |
Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 3π/4. |
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Answer» Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 3π/4. Solution: |
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| 1612. |
ABC is an equilateral triangle. What is the value of x? x = ° |
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Answer» ABC is an equilateral triangle. What is the value of x? x = °
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| 1613. |
What is the greatest possible area of a triangle with one side of length 7 and another side length 10? |
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Answer» What is the greatest possible area of a triangle with one side of length 7 and another side length 10? Solution: |
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| 1614. |
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x. |
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Answer» Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x. Solution: |
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| 1615. |
Solve 2x2 + 5x + 5 = 0. Round solutions to the nearest hundredth. |
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Answer» Solve 2x2+ 5x + 5 = 0. Round solutions to the nearest hundredth. Solution: |
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| 1616. |
Write an equation for the line given that m = 3 and the y-intercept is (0, 2) |
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Answer» Write an equation for the line given that m = 3 and the y-intercept is (0, 2) Solution: |
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| 1617. |
Solve the given differential equation by separation of variables. dy/dx = e(5x+4y). |
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Answer» Solve the given differential equation by separation of variables. dy/dx = e(5x+4y). Solution: |
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| 1618. |
What is the 7th term in the sequence? an = 30 - 4n |
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Answer» What is the 7th term in the sequence? an = 30 - 4n Solution: |
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| 1619. |
Determine the values of x for which the linear approximation is accurate to within 0.1. f(x) = 1/(1 + 2x)4 |
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Answer» Determine the values of x for which the linear approximation is accurate to within 0.1. f(x) = 1/(1 + 2x)4 Solution: |
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| 1620. |
Multiply and simplify the product. -12i × 3i. Select the product. 36, -36, 36i, -36i |
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Answer» Multiply and simplify the product. -12i × 3i. Select the product. Solution: |
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| 1621. |
The lengths of the sides of a rectangular window have a ratio of 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window? |
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Answer» The lengths of the sides of a rectangular window have a ratio of 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window? Solution: |
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| 1622. |
Find an equation of the tangent plane to the given surface at the specified point. z = 3y2- 2x2+ x, (2, -1, -3) |
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Answer» Find an equation of the tangent plane to the given surface at the specified point. z = 3y2 - 2x2 + x, (2, -1, -3) Solution: |
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| 1623. |
What are the zeros of the polynomial function f(x) = x3 + 10x2 + 24x? |
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Answer» What are the zeros of the polynomial function f(x) = x3 + 10x2 + 24x? Solution: |
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| 1624. |
What is a quadratic function with only the two real zeros given x = 5 and x = 1 |
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Answer» What is a quadratic function with only the two real zeros given x = 5 and x = 1 Solution: |
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| 1625. |
What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9? |
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Answer» What are the coordinates of the vertex for f(x) = 2x2+ 4x + 9? Solution: |
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| 1626. |
Solve the linear equation 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1. |
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Answer» Solve the linear equation 2.25 - 11j - 7.75 + 1.5j = 0.5j - 1. Solution: |
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| 1627. |
If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to (s*t)(-7)? |
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Answer» If s(x) = 2 - x2and t(x) = 3x, which value is equivalent to (s*t)(-7)? Solution: |
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| 1628. |
Which of the following is the solution to the equation 25(z - 4) = 125? |
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Answer» Which of the following is the solution to the equation 25(z - 4) = 125? Solution: |
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| 1629. |
Which system of linear inequalities has the point (3, -2) in its solution set? y < -3; y ≤ 2/3x - 4 y > -3; y ≥ 2/3x - 4 y < -3; y ≥ 2/3x - 4 y > -2; y ≤ 2/3x - 4 |
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Answer» Which system of linear inequalities has the point (3, -2) in its solution set? Solution: |
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| 1630. |
Determine if the sequence 7, 11, 15, 19, ... is arithmetic. If it is, find the common difference. |
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Answer» Determine if the sequence 7, 11, 15, 19, ... is arithmetic. If it is, find the common difference. An arithmetic progression is a sequence in which the difference between a pair of consecutive numbers is equal. Let's solve an interesting problem related to this concept. |
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| 1631. |
Give an example of a rational function that has a horizontal asymptote of y = 2/9. |
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Answer» Give an example of a rational function that has a horizontal asymptote of y = 2/9. Solution: |
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| 1632. |
What are the zeros of the quadratic function f(x) = 2x2 + 16x - 9? |
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Answer» What are the zeros of the quadratic function f(x) = 2x2+ 16x - 9? Solution: |
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| 1633. |
Evaluate the integral. (use c for the constant of integration.) ln(x) dx |
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Answer» Evaluate the integral. (use c for the constant of integration.) ln(x) dx Solution: |
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| 1634. |
What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve. |
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Answer» What are the solutions of the equation x4 - 5x2 - 14 = 0 = 0? Use factoring to solve. Solution: |
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| 1635. |
What is the future value of $9,500 in 8 years? Use a nominal rate (monthly compounding) of 8.25%. |
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Answer» What is the future value of $9,500 in 8 years? Use a nominal rate (monthly compounding) of 8.25%. Solution: |
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| 1636. |
Find a cartesian equation for the curve and identify it. r = 7 cos(θ) |
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Answer» Find a cartesian equation for the curve and identify it. r = 7 cos(θ) Solution: |
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| 1637. |
What is an equation of the parabola with vertex at the origin and focus (-5, 0) |
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Answer» What is an equation of the parabola with vertex at the origin and focus (-5, 0) Solution: |
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| 1638. |
Simplify: -3(y + 2)2 - 5 + 6y what is the simplified product in standard form? |
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Answer» Simplify: -3(y + 2)2- 5 + 6y what is the simplified product in standard form? Solution: |
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| 1639. |
Find an equation of the tangent line to the curve at the given point. y = x3- 2x + 1, (3, 22). |
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Answer» Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3, 22). Solution. |
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| 1640. |
Given the trinomial 2x2 + 4x- 2, what is the value of the discriminant? |
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Answer» Given the trinomial 2x2+ 4x- 2, what is the value of the discriminant? Solution: |
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| 1641. |
If tanh(x) = 4/5 , find the values of the other hyperbolic functions at x. |
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Answer» If tanh(x) = 4/5 , find the values of the other hyperbolic functions at x. Solution: |
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| 1642. |
The chords intersect at point U. What is the value of y? |
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Answer» The chords intersect at point U. What is the value of y?
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| 1643. |
Find the absolute maximum and minimum values of the following function on the specified region R. F(x,y) = 9xy on the semicircular disk. R = {(x, y): -2 ≤ x ≤ 2, 0 ≤ y ≤ (4 - x2):} |
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Answer» Find the absolute maximum and minimum values of the following function on the specified region R. F(x,y) = 9xy on the semicircular disk. R = {(x, y): -2 ≤ x ≤ 2, 0 ≤ y ≤ (4 - x2):} Solution: |
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| 1644. |
The volume of a gas is 605 liters at 27.0C. The new temperature is -3.0C. What is the new volume? -67.2 L, -545 L, -672 L, -5450 L |
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Answer» The volume of a gas is 605 liters at 27.0C. The new temperature is -3.0C. What is the new volume? -67.2 L, -545 L, -672 L, ;-5450 L Solution: |
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| 1645. |
Create a graph of y = 2x - 6. Construct a graph corresponding to the linear equation y = 2x - 6. |
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Answer» Create a graph of y = 2x - 6. Construct a graph corresponding to the linear equation y = 2x - 6. Solution: |
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| 1646. |
The point (0, -9) is the focus of the parabola shown. What is the equation of the parabola? |
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Answer» The point (0, -9) is the focus of the parabola shown. What is the equation of the parabola?
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| 1647. |
Find the average rate of change of a function that contains the points (-2, 3) and (2, 5). |
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Answer» Find the average rate of change of a function that contains the points (-2, 3) and (2, 5). Solution: |
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| 1648. |
Find the vertex of the parabola whose equation is y = x2 + 6x + 2. |
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Answer» Find the vertex of the parabola whose equation is y = x2+ 6x + 2. Solution: |
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| 1649. |
Find points on the curve y=2x3 + 3x2 - 12x + 1 where the tangent is horizontal? |
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Answer» Find points on the curve y=2x3 + 3x2 - 12x + 1 where the tangent is horizontal? Solution: |
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| 1650. |
Find the arc length function for the curve y = 2x3/2 with starting point p0(9, 54). |
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Answer» Find the arc length function for the curve y = 2x3/2 with starting point p0(9, 54). Solution: |
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