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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.
| 2551. |
Find the derivative of the function using the definition of derivative. g(x) = 7 - x |
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Answer» Find the derivative of the function using the definition of derivative. g(x) = 7 - x Solution: |
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| 2552. |
In parallelogram EFGH, EJ = x2 - 4 and JG = 3x .What is EG? |
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Answer» In parallelogram EFGH, EJ = x2- 4 and JG = 3x .What is EG?
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| 2553. |
Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 4cx |
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Answer» Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 4cx Solution: |
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| 2554. |
What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0 units? |
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Answer» What is the radius of a circle whose equation is x2 + y2 + 8x - 6y + 21 = 0 units? Solution: |
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| 2555. |
Solve the triangle. A = 19°, C = 102°, c = 6 |
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Answer» Solve the triangle. A = 19°, C = 102°, c = 6 Solution: |
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| 2556. |
Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250 |
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Answer» Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250 Solution: |
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| 2557. |
Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 5π/4? |
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Answer» Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 5π/4? Solution: |
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| 2558. |
If xy + 2ey = 2e, find the value of y'' at the point where x = 0. |
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Answer» If xy + 2ey= 2e, find the value of y'' at the point where x = 0. Solution: |
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| 2559. |
Solve the triangle. A = 46°, a = 31, b = 27 |
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Answer» Solve the triangle. A = 46°, a = 31, b = 27 Solution: |
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| 2560. |
x = sin 1/2θ, y = cos 1/2θ, - π ≤ θ ≤ π(a) eliminate the parameter to find a cartesian equation of the curve. |
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Answer» x = sin 1/2θ, y = cos 1/2θ, - π ≤ θ ≤ π(a) eliminate the parameter to find a cartesian equation of the curve. Solution: |
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| 2561. |
Write an equation of the line containing the point (4, 3) and parallel to the line having slope 4. |
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Answer» Write an equation of the line containing the point (4, 3) and parallel to the line having slope 4. Solution: |
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| 2562. |
What is 64x6 + 27 written as a sum of cubes? (4x)3 + 33, (4x2)3 + 33, (4x2)3 + 93, (4x3)3 + 33 |
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Answer» What is 64x6 + 27 written as a sum of cubes? (4x)3 + 33, (4x2)3 + 33, (4x2)3 + 93, (4x3)3 + 33 Solution: |
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| 2563. |
What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2? |
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Answer» What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2? Solution: |
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| 2564. |
Graph the pair of the parametric equation.x = 7 sin t + sin 7t,y = 7 cos t + cos 7t |
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Answer» Graph the pair of the parametric equation.x = 7 sin t + sin 7t,y = 7 cos t + cos 7t Solution: |
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| 2565. |
Solve the triangle. A = 32°, a = 19, b = 14 |
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Answer» Solve the triangle. A = 32°, a = 19, b = 14 Solution: |
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| 2566. |
Find the volume in terms of pi of a sphere with a surface area of 9 pi square feet? |
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Answer» Find the volume in terms of pi of a sphere with a surface area of 9 pi square feet? Solution: |
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| 2567. |
Sketch the region enclosed by the graphs of x = 0, 6y - 5x = 0 and x + 3y = 21. Find the area. |
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Answer» Sketch the region enclosed by the graphs of x = 0, 6y - 5x = 0 and x + 3y = 21. Find the area. Solution: |
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| 2568. |
What is the general form of the equation for the given circle centered at O(0, 0)? |
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Answer» What is the general form of the equation for the given circle centered at O(0, 0)?
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| 2569. |
A square measures 9 inches on each side. What is its area rounded off to the nearest whole number? |
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Answer» A square measures 9 inches on each side. What is its area rounded off to the nearest whole number? Solution: |
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| 2570. |
Osceola county bonds worth $1,000 are selling at 88.391. What is the market price of one such bond? |
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Answer» Osceola county bonds worth $1,000 are selling at 88.391. What is the market price of one such bond? Solution: |
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| 2571. |
If you multiply a number by 3 and divide by 4, the result is 24. What is the number? |
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Answer» If you multiply a number by 3 and divide by 4, the result is 24. The number is 32. Solution: |
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| 2572. |
Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i |
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Answer» Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i Solution: |
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| 2573. |
What is that product of 2x + y and 5x - y + 3? |
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Answer» What is that product of 2x + y and 5x - y + 3? Solution: |
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| 2574. |
In how many ways can a set of two positive integers less than 100 be chosen? |
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Answer» In how many ways can a set of two positive integers less than 100 be chosen? Solution: |
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| 2575. |
What is the first step of the following division problem? (8x3-x2 + 6x + 7) ÷ (2x -1) |
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Answer» What is the first step of the following division problem? (8x3-x2 + 6x + 7) ÷ (2x -1) Solution: |
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| 2576. |
If two events a and b are independent and you know that p(a) = 0.85, what is the value of p(a | b)? |
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Answer» If two events a and b are independent and you know that p(a) = 0.85, what is the value of p(a | b)? Solution: |
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| 2577. |
Use the arc length formula and the given information to find θ. s = 7m, r = 12m; θ = ? |
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Answer» Use the arc length formula and the given information to find θ. s = 7m, r = 12m; θ = ? Solution: |
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| 2578. |
What is the sum of the first 30 terms of this arithmetic sequence? 6, 13, 20, 27, 34, … |
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Answer» What is the sum of the first 30 terms of this arithmetic sequence? 6, 13, 20, 27, 34, … Solution: |
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| 2579. |
How far apart are the foci of an ellipse with a major axis of 10 feet and a minor axis of 6 feet? |
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Answer» How far apart are the foci of an ellipse with a major axis of 10 feet and a minor axis of 6 feet? Solution: |
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| 2580. |
What is the area of a circle with a radius of 5? |
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Answer» What is the area of a circle with a radius of 5? Solution: |
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| 2581. |
What is the area of a circle with a diameter of 8? |
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Answer» What is the area of a circle with a diameter of 8? Solution: |
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| 2582. |
Which property of addition is shown below? a + bi + c + di = a + c + bi + di |
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Answer» Which property of addition is shown below? a + bi + c + di = a + c + bi + di Solution: |
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| 2583. |
What is the height of a triangle that has an area of 60 yd² and a base with a length of 12 yd? |
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Answer» What is the height of a triangle that has an area of 60 yd² and a base with a length of 12 yd? Solution: |
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| 2584. |
What is the area of a circle with a radius of 1? |
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Answer» What is the area of a circle with a radius of 1? Solution: |
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| 2585. |
What is the future value of $500 one year from today if the interest rate is 6 percent? |
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Answer» What is the future value of $500 one year from today if the interest rate is 6 percent? Solution: |
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| 2586. |
What is the quotient of (x³ + 3x² + 5x + 3) ÷ (x + 1)? |
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Answer» What is the quotient of (x³ + 3x² + 5x + 3) ÷ (x + 1)? Solution: |
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| 2587. |
You purchase a shirt for $8.50. There is a 6% sales tax. What will be your total cost? |
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Answer» You purchase a shirt for $8.50. There is a 6% sales tax. What will be your total cost? Solution: |
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| 2588. |
If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°? |
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Answer» If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°? Solution: |
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| 2589. |
At what value of x do the graphs of the equations below intersect? 2x - y = 6 5x + 10y = -10 |
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Answer» At what value of x do the graphs of the equations below intersect? 2x - y = 6 5x + 10y = -10 Solution: |
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| 2590. |
Use the chain rule to find dz/dt. z = sin(x) cos(y), x = t , y = 5 / t |
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Answer» Use the chain rule to find dz/dt. z = sin(x) cos(y), x = t , y = 5 / t Solution: |
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| 2591. |
Find the general solution of the given systemdx/dt = -4x + 2y, dy/dt = -5/2 x + 2y |
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Answer» Find the general solution of the given systemdx/dt = -4x + 2y, dy/dt = -5/2 x + 2y Solution: |
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| 2592. |
What is the simplified form of (-7x3 + 5x2-x + 6) -(-8x3 + x2 + 3)? |
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Answer» What is the simplified form of (-7x3+ 5x2-x + 6) -(-8x3+ x2+ 3)? Solution: |
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| 2593. |
Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, -5). |
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Answer» Find the equation of the circle that has a diameter with endpoints located at (7, 3) and (7, -5). Solution: |
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| 2594. |
Solve the following system. (Use (x,y) format in a single answer space.) x2 + y2 = 25 andy2 - x2 = 7 |
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Answer» Solve the following system. (Use (x,y) format in a single answer space.) x2 + y2 = 25 andy2 - x2 = 7 Solution: |
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| 2595. |
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. What is the relative error? What is the percentage error? |
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Answer» The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. What is the relative error? What is the percentage error? Solution: |
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| 2596. |
If AC = 5cm, BC = 12cm and the radius of the circumscribed circle is __ cm and m∠OAC = °. |
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Answer» If AC = 5 cm, BC = 12 cm, and, the radius of the circumscribed circle is __ cm and m∠OAC = °. Solution: |
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| 2597. |
Which value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y? |
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Answer» Which value of x satisfies both - 9x + 4y = 8 and - 3x - y = 4 given the same value of y? Solution: |
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| 2598. |
Let X = {A, B, C, D}. What Is { A: A ∈ P(X) And |A| = 2 }? |
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Answer» Let X = {A, B, C, D}. What Is { A: A ∈ P(X) And |A| = 2 }? Solution: |
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| 2599. |
Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric to make a curtain, how much will she have left? |
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Answer» Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric to make a curtain, how much will she have left? Solution: |
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| 2600. |
Find all solutions to the equation cos 2x - cos x = 0 in the interval [0, 2π). |
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Answer» Find all solutions to the equation cos 2x - cos x = 0 in the interval [0, 2π). Solution: |
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