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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.
| 1901. |
Write the equation 2y - 4x = 5 in the form y = mx + b. |
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Answer» Write the equation 2y - 4x = 5 in the form y = mx + b. Solution: |
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| 1902. |
Find the arc length function for the curve y = 2x3/2 with starting point P0(36, 432). |
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Answer» Find the arc length function for the curve y = 2x3/2with starting point P0(36, 432). Solution: |
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| 1903. |
What is the distance between 1 + 3i and 2 - 4i in the complex plane? |
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Answer» What is the distance between 1 + 3i and 2 - 4i in the complex plane? Solution: |
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| 1904. |
Using synthetic division, what is the quotient (2x3- 2x - 12) ÷ (x - 2)? |
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Answer» Using synthetic division, what is the quotient (2x3- 2x - 12) ÷ (x - 2)? Solution: |
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| 1905. |
Perform the requested operation or operations. f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x)) |
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Answer» Perform the requested operation or operations. f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x)) Solution: |
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| 1906. |
Consider the system of inequalities and its graph. y ≤ -0.75x y ≤ 3x -2. In which section of the graph does the actual solution to the system lie? 1, 2, 3, 4 |
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Answer» Consider the system of inequalities and its graph. y ≤ -0.75x y ≤ 3x -2. In which section of the graph does the actual solution to the system lie? Solution: |
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| 1907. |
What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)? |
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Answer» What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)? Solution: |
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| 1908. |
Find two unit vectors that make an angle of 60° with v = 3, 4 |
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Answer» Find two unit vectors that make an angle of 60° with v = 3, 4 Solution: |
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| 1909. |
What are the values of sine, cosine, and tangent of θ = 7 pi over 4 radians? |
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Answer» What are the values of sine, cosine, and tangent of θ = 7 pi over 4 radians? Solution: |
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| 1910. |
In the diagram of circle P, m XYZ is 72°. What is the value of x? |
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Answer» In the diagram of circle P, m XYZ is 72°. What is the value of x?
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| 1911. |
Over which interval is the graph of f(x) = x2 + 5x + 6 increasing? |
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Answer» Over which interval is the graph of f(x) = x2+ 5x + 6 increasing? Solution: |
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| 1912. |
Over which interval is the graph of f(x) = -x2 + 3x + 8 increasing? |
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Answer» Over which interval is the graph of f(x) = -x2+ 3x + 8 increasing? Solution: |
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| 1913. |
Find two unit vectors that make an angle of 60° with v = 6, 8? |
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Answer» The two unit vectors that make an angle of 60° with v = (6, 8) are (-0.39282, 0.919615 ) and (0.99282, -0.119615) respectively. We will be using the concept of the dot product of two vectors for solving this. |
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| 1914. |
A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30 cm deep? |
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Answer» A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30 cm deep? Solution: |
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| 1915. |
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = |
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Answer» Find the angle between the given vectors to the nearest tenth of a degree. u = <- 5, 8>, v = <- 4, 8> Solution: |
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| 1916. |
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = |
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Answer» Find the angle between the given vectors to the nearest tenth of a degree. u = <6, 4>, v = <7, 5> Solution: |
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| 1917. |
How many terms are in the binomial expansion of (2x + 3)5? 4, 5, 6, 7 |
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Answer» How many terms are in the binomial expansion of (2x + 3)5? Solution: |
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| 1918. |
Explain how to write an equivalent expression using the associative property. 2 + (11 + y) |
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Answer» Explain how to write an equivalent expression using the associative property. 2 + (11 + y) Solution: |
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| 1919. |
How do you find two unit vectors that make an angle of 60° with v = ‹3, 4›? |
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Answer» How do you find two unit vectors that make an angle of 60° with v = ‹3, 4›? Solution: |
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| 1920. |
If x2 + y2 = 225 and dy/dt = 4, find dx/dt when y = 9. |
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Answer» If x2+ y2= 225 and dy/dt = 4, find dx/dt when y = 9. Solution: |
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| 1921. |
What is the future value of $10,000 on deposit for 2 years at 6% simple interest? |
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Answer» What is the future value of $10,000 on deposit for 2 years at 6% simple interest? Solution: |
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| 1922. |
What is the surface area of the figure? 408 ft2, 458 ft2, 545 ft2, 720 ft2 |
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Answer» What is the surface area of the figure?
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| 1923. |
Determine which function is a solution to the differential equation xy' + 2y = 0. e2x,x2,x-2,None of these |
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Answer» Determine which function is a solution to the differential equation xy' + 2y = 0. Solution: |
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| 1924. |
For the following geometric sequence find the 5th term in the sequence. {0.125, -0.25, 0.5, ...} |
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Answer» For the following geometric sequence find the 5th term in the sequence. {0.125, -0.25, 0.5, ...} Solution: |
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| 1925. |
The sum of 6 consecutive integers is 519. What is the third number in this sequence? |
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Answer» The sum of 6 consecutive integers is 519. What is the third number in this sequence? Solution: |
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| 1926. |
What is the vertex of the parabola given by y = -(x - 2)2 - 1? |
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Answer» What is the vertex of the parabola given by y = -(x - 2)2- 1? Solution: |
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| 1927. |
Find the volume for the cylinder with the given measurement. Radius r = 2, height h = 3 |
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Answer» Find the volume for the cylinder with the given measurement. Radius r = 2, height h = 3 Solution: |
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| 1928. |
Sketch the region enclosed by the given curves. y = |9x|, y = x2 - 10 |
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Answer» Sketch the region enclosed by the given curves. y = |9x|, y = x2- 10 Solution: |
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| 1929. |
Find the angles between the vectors A with arrow and B with arrow given the following. A with arrow = 2i - 5j, B with arrow = -5i + 1j A with arrow = 4i + 6j, B with arrow = 1i - 5j A with arrow = 7i + 3j, B with arrow = 3i - 7j |
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Answer» Find the angles between the vectors A with arrow and B with arrow given the following. A with arrow = 2i - 5j, B with arrow = -5i + 1j A with arrow = 4i + 6j, B with arrow = 1i - 5j A with arrow = 7i + 3j, B with arrow = 3i - 7j Solution: |
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| 1930. |
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 3:5:7. How many cups of tomato are needed to make 105 cups of salsa? |
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Answer» A salsa recipe uses green pepper, onion, and tomato in the extended ratio 3:5:7. How many cups of tomato are needed to make 105 cups of salsa? Solution: |
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| 1931. |
Vectors v and w are sides of an equilateral triangle whose sides have length 1. compute v·w |
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Answer» Vectors v and w are sides of an equilateral triangle whose sides have length 1. compute v·w Solution: |
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| 1932. |
When I was six, my sister was half my age. Now I'm 70, how old is she? |
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Answer» When I was six, my sister was half my age. Now I'm 70, how old is she? Solution: |
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| 1933. |
Solve the given initial-value problem. y'' + y' + 2y = 0, y(0) = y'(0) = 0 |
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Answer» Solve the given initial-value problem. y'' + y' + 2y = 0, y(0) = y'(0) = 0 Solution: |
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| 1934. |
If a die is rolled one time, find the probability of getting a number greater than 2. |
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Answer» If a die is rolled one time, find the probability of getting a number greater than 2. Solution: |
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| 1935. |
Identify the five-number summary of the following data set. 7, 11, 21, 28, 32, 33, 37, 43. |
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Answer» Identify the five-number summary of the following data set. 7, 11, 21, 28, 32, 33, 37, 43. Solution: |
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| 1936. |
Use an inequality symbol (, =, ≤) to compare -3 + 7 _____ -10 - 2 |
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Answer» Use an inequality symbol (<, >, =, ≤) to compare -3 + 7 _____ -10 - 2 Solution: |
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| 1937. |
How many variable terms are in the expression 3x3y + 5x2- 4y + z + 9? |
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Answer» How many variable terms are in the expression 3x3y + 5x2- 4y + z + 9? Solution: |
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| 1938. |
Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11? x = -9.25, x = -5.5, x = 0.5, x = 3.25 |
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Answer» Which is a zero of the quadratic function f(x) = 4x2+ 24x + 11? Solution: |
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| 1939. |
What is the range of the function f(x) = -(x + 3)2 + 7? |
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Answer» What is the range of the function f(x) = -(x + 3)2 + 7? Solution: |
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| 1940. |
A normal distribution has a mean of 50 and a standard deviation of 4. a) Compute the probability of a value between 44.0 and 55.0. b) Compute the probability of a value greater than 55.0. c) Compute the probability of a value between 52.0 and 55.0 |
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Answer» A normal distribution has a mean of 50 and a standard deviation of 4. Solution: |
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| 1941. |
What is the third term of the expansion of (x + 2) is raised to the fifth power? |
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Answer» What is the third term of the expansion of (x + 2) is raised to the fifth power? Solution: |
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| 1942. |
What is the volume of a cube shaped box with edges 6 cm in length? |
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Answer» What is the volume of a cube shaped box with edges 6 cm in length? Solution: |
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| 1943. |
Find the average rate of change of the function y = 2ex over the interval from x = 0 to x = 2. |
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Answer» Find the average rate of change of the function y = 2exover the interval from x = 0 to x = 2. Solution: |
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| 1944. |
What is the square root of m6? |
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Answer» What is the square root of m6? Solution: |
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| 1945. |
Find f. f''(θ) = sin(θ) + cos(θ), f(0) = 5, f '(0) = 1 |
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Answer» Find f. f''(θ) = sin(θ) + cos(θ), f(0) = 5, f '(0) = 1 Solution: |
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| 1946. |
Find the area of the region enclosed by one loop of the curve. r = sin(2θ) |
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Answer» Find the area of the region enclosed by one loop of the curve. r = sin(2θ) Solution: |
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| 1947. |
Let f(x) = 8x3- 22x2- 4 and g(x) = 4x - 3. Find f of x over g of x. |
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Answer» Let f(x) = 8x3- 22x2- 4 and g(x) = 4x - 3. Find fof x over g of x. Solution: |
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| 1948. |
Solve the following system. x2 - y = 3 and x - y = -3 |
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Answer» Solve the following system. x2- y = 3 and x - y = -3 Solution: |
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| 1949. |
Find the linearization l(x) of the function at a. f(x) = x1/2, a = 9 |
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Answer» Find the linearization l(x) of the function at a. f(x) = x1/2, a = 9 Solution: |
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| 1950. |
What is f(-3) for the function f(a) = -2a2 - 5a + 4? |
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Answer» What is f(-3) for the function f(a) = -2a2 - 5a + 4? Solution: |
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