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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.
| 2001. |
Evaluate the integral(0 to 1/2). (use c for the constant of integration.) cos-1(x) dx |
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Answer» Evaluate the integral(0 to 1/2). (use c for the constant of integration.) cos-1(x) dx Solution: |
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| 2002. |
Which of the following is a factor of 2xy + 8y - 8x - 32? 5 x + 4 x2- 4x + 16 All of the above |
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Answer» Which of the following is a factor of 2xy + 8y - 8x - 32? Solution: |
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| 2003. |
What is the completely factored form of x4+ 8x2- 9? |
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Answer» What is the completely factored form of x4+ 8x2- 9? Solution: |
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| 2004. |
If x is the product of the integers from 1 to 150, inclusive, and 5y is a factor of x, what is the greatest possible value of y? |
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Answer» If x is the product of the integers from 1 to 150, inclusive, and 5y is a factor of x, what is the greatest possible value of y? Solution: |
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| 2005. |
Write a linear factorization of the function. f(x) = x4 + 16x2 |
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Answer» Write a linear factorization of the function. f(x) = x4 + 16x2 Solution: |
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| 2006. |
If f(x) = (xm + 9)2, which statement about f(x) is true? f(x) is an even function for all values of m. f(x) is an even function for all even values of m. f(x) is an odd function for all values of m. f(x) is an odd function for all odd values of m. |
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Answer» If f(x) = (xm + 9)2, which statement about f(x) is true? Solution: |
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| 2007. |
A diameter of a circle has endpoints P(-10,-2) and Q(4,6) Find the center of the circle Find the radius. If your answer is not an integer, express it in radical form Write an equation for the circle. |
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Answer» A diameter of a circle has endpoints P(-10,-2) and Q(4,6) Find the center of the circle Find the radius. If your answer is not an integer, express it in radical form Write an equation for the circle. Solution: |
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| 2008. |
What are the x-intercepts of y = 2x2 - 3x - 20? |
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Answer» What are the x-intercepts of y = 2x2 - 3x - 20? Solution: |
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| 2009. |
Find the standard form of the equation of the parabola with the given characteristics. Vertex: (5, 1); Focus (2, 1) |
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Answer» Find the standard form of the equation of the parabola with the given characteristics. Vertex: (5, 1); Focus (2, 1) Solution: |
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| 2010. |
What are the solutions of 2x2 + 16x + 34 = 0? |
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Answer» What are the solutions of 2x2 + 16x + 34 = 0? Solution: |
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| 2011. |
What is the length of DC? |
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Answer» What is the length of DC?
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| 2012. |
What is the equation of the horizontal line that passes through the point (2, -3)? |
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Answer» What is the equation of the horizontal line that passes through the point (2, -3)? Solution: |
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| 2013. |
X, 3, 1, 12, 8 if x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers? |
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Answer» X, 3, 1, 12, 8 if x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers? Solution: |
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| 2014. |
Find the length of the arc in terms of π that subtends an angle of 30∘ at the centre of a circle of radius 4 cm. |
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Answer» Find the length of the arc in terms of π that subtends an angle of 30∘ at the centre of a circle of radius 4 cm. Solution: |
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| 2015. |
What is the y-intercept of the function f(x) = 4 - 5x? |
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Answer» What is the y-intercept of the function f(x) = 4 - 5x? Solution: |
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| 2016. |
What is the middle term of the product of (x + 5)(x + 2)? |
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Answer» What is the middle term of the product of (x + 5)(x + 2)? Solution: |
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| 2017. |
Use the binomial series to expand the function as a power series.4√(1 - x). |
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Answer» Use the binomial series to expand the function as a power series.4√(1 - x). Solution: |
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| 2018. |
Choose the compound inequality that can be used to solve the original inequality|3x - 5| > 10. -10 < |3x - 5| < 10 3x - 5 > -10 or 3x - 5 < 10 3x - 5 < -10 or 3x - 5 > 10 -10 < 3x - 5 < 10 |
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Answer» Choose the compound inequality that can be used to solve the original inequality |3x - 5| > 10. Solution: |
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| 2019. |
When the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined, which shape is formed? Parallelogram Rectangle Trapezoid Square |
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Answer» When the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined, which shape is formed? Parallelogram Rectangle Trapezoid Square Solution: |
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| 2020. |
What are the Properties of determinants? |
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Answer» Determinants haveboth basic and fundamental properties. In linear algebra, a determinant is a unique number that can be ascertained as a square matrix. |
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| 2021. |
Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y? |
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Answer» Triangle MRN is created when an equilateral triangle is folded in half. What is the value of y?
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| 2022. |
Choose the correct simplification of the expression (x2y)2. x4y3, x6y6, x4y2, xy4 |
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Answer» Choose the correct simplification of the expression (x2y)2. Solution: |
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| 2023. |
Find the axis of the graph of the function. f(x) = 4x2+ 8x + 7? |
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Answer» Find the axis of the graph of the function. f(x) = 4x2+ 8x + 7? Solution: |
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| 2024. |
Find a solution to the linear inequality. y ≥ 4x - 5 |
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Answer» Find a solution to the linear inequality. y ≥ 4x - 5 Solution: |
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| 2025. |
Find the general solution of the given differential equation. dy/dx + y = e6x |
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Answer» Find the general solution of the given differential equation. dy/dx + y = e6x Solution: |
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| 2026. |
Find a unit vector that has the same direction as the given vector. -5i + 7j |
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Answer» Find a unit vector that has the same direction as the given vector. -5i + 7j Solution: |
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| 2027. |
Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ± 1/2 x. |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ± 1/2 x. Solution: |
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| 2028. |
The circle shown below has AB and BC as its tangents. If the measure of arc AC is 130°, what is the measure of angle ABC? |
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Answer» The circle shown below has AB and BC as its tangents. If the measure of arc AC is 130°, what is the measure of angle ABC?
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| 2029. |
A fair coin is tossed 5 times. What is the probability of exactly 3 heads? |
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Answer» A fair coin is tossed 5 times. What is the probability of exactly 3 heads? Solution: |
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| 2030. |
What are the solutions of the inequality? Check the solutions. 4x + 6 < -6 x > -3 x > -6 x < -3 x < + 6 |
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Answer» What are the solutions of the inequality? Check the solutions. 4x + 6 < -6 Solution: |
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| 2031. |
Which ordered pair makes both inequalities true? y < -x + 1 and y > x? (-3, 5), (-2, 2), (-1, -3), (0, -1) |
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Answer» Which ordered pair makes both inequalities true? y < -x + 1 and y > x? Solution: |
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| 2032. |
Find the exact value by using a half-angle identity. Sine of five pi divided by twelve |
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Answer» Find the exact value by using a half-angle identity. Sine of five pi divided by twelve Solution: |
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| 2033. |
If y = 2x - 3, then which of the following ordered pairs lies on the graph? (1, -1), (-3, 0), (5, 4) |
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Answer» If y = 2x - 3, then which of the following ordered pairs lies on the graph? Solution: |
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| 2034. |
The circle shown below has AB and BC as its tangents. If the measure of arc AC is 120°, what is the measure of angle ABC? |
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Answer» The circle shown below has AB and BC as its tangents. If the measure of arc AC is 120°, what is the measure of angle ABC?
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| 2035. |
Given f(x) = x - 7 and g(x) = x2 . Find g(f(4)). g(f(4)) = |
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Answer» Given f(x) = x - 7 and g(x) = x2. Find g(f(4)). g(f(4)) = Solution: |
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| 2036. |
In how many ways can the letters in the word BALLOON be arranged? 210, 1260, 2520, 5040 |
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Answer» In how many ways can the letters in the word BALLOON be arranged? Solution: |
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| 2037. |
A line passes through (-1, 7) and (2, 10). Which answer is the equation of the line? -3x + y = 4 -3x + y = 16 -x + y = 8 -x + y = 12 |
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Answer» A line passes through (-1, 7) and (2, 10). Which answer is the equation of the line? Solution: |
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| 2038. |
The slope of a line that passes through the points (20, 30) and (40, 14) is |
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Answer» The slope of a line that passes through the points (20, 30) and (40, 14) is Solution: |
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| 2039. |
Which are the roots of the quadratic function f(b) = b2 - 75? check all that apply. b = 5 square root of 3 b = -5 square root of 3 b = 3 square root of 5 b= -3 square root of 5 b = 25 square root of 3 b = -25 square root of 3 |
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Answer» Which are the roots of the quadratic function f(b) = b2- 75? check all that apply. Solution: |
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| 2040. |
Enter the correct value so that each expression is a perfect-square trinomial. x2 - 10x + __ |
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Answer» Enter the correct value so that each expression is a perfect-square trinomial. x2- 10x + __ Solution: |
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| 2041. |
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20. |
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Answer» Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20. Solution: |
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| 2042. |
What is the slope of the line passing through the points (-1, 3) and (4, -7)? |
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Answer» What is the slope of the line passing through the points (-1, 3) and (4, -7)? Solution: |
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| 2043. |
How many 1 cm cubes would it take to construct a cube that is 4cm on edge? |
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Answer» How many 1 cm cubes would it take to construct a cube that is 4cm on edge? Solution: |
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| 2044. |
What are the asymptotes ofy = 5/x and how do you graph the function? |
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Answer» What are the asymptotes of y=5/x and how do you graph the function? Solution: |
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| 2045. |
Verify the identity. 4 csc 2x = 2 csc2x tan x |
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Answer» Verify the identity. 4 csc 2x = 2 csc2x tan x Solution: |
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| 2046. |
What is the equation of the line that passes through (-2, 2) and (1, -4)? |
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Answer» What is the equation of the line that passes through (-2, 2) and (1, -4)? Solution: |
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| 2047. |
Find the first six terms of the sequence. a1 = -4, an = an - 1 + 7 |
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Answer» Find the first six terms of the sequence. a1 = -4, an = an - 1 + 7 Solution: |
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| 2048. |
36 cubic units |
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Answer» Find the following measure for this figure. volume = Solution: |
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| 2049. |
24 cubic units |
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Answer» Find the following measure for this figure. volume = Solution: |
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| 2050. |
18 cubic units |
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Answer» Find the following measure for this figure. volume = Solution: |
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