8446 + Interview Questions in Applied Maths Page 35 InterviewSolution

1701.	How many ways can 5 basketball players be listed in order in a program?
Answer» How many ways can 5 basketball players be listed in order in a program? Solution:

Discussion

1702.	If the sum of the interior angles of a polygon is 540 degrees, then how many sides does the polygon have? 5, 6, 7, 8
Answer» If the sum of the interior angles of a polygon is 540 degrees, then how many sides does the polygon have? 5, 6, 7, 8 Solution:

Discussion

1703.	What is the equation of a horizontal line passing through the point (2, 10)?
Answer» What is the equation of a horizontal line passing through the point (2, 10)? Solution:

Discussion

1704.	Find the distance between points p (-3, 4) and q (1, 6).
Answer» Find the distance between points p (-3, 4) and q (1, 6). Solution:

Discussion

1705.	Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.
Answer» Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution. Solution:

Discussion

1706.	What is the solution to the system of equations? y = 2/3 x + 3x, x = -2
Answer» What is the solution to the system of equations? y = 2/3 x + 3, x = -2 Solution:

Discussion

1707.	Solve the equation on the interval [0, 2π). sin2x - cos2x = 0
Answer» Solve the equation on the interval [0, 2π). sin²x - cos²x = 0 Solution:

Discussion

1708.	Find dy/dx by implicit differentiation. x2 - 8xy + y2 = 8
Answer» Find dy/dx by implicit differentiation. x²- 8xy + y²= 8 Solution:

Discussion

1709.	Use the equation given below to find f''(π/4) . f(x) = sec(x)
Answer» Use the equation given below to find f''(π/4) . f(x) = sec(x) Solution:

Discussion

1710.	Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0
Answer» Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 Solution:

Discussion

1711.	What's the area of an equilateral triangle with sides of 10 inches and height of 7 inches?
Answer» What's the area of an equilateral triangle with sides of 10 inches and height of 7 inches? Solution:

Discussion

1712.	How to differentiate y = 3y3 + 4x2 + 2x + 2xy + 1with respect to x?
Answer» The derivative ofy = 3y³ + 4x² + 2x + 2xy + 1 with respect to x is dy / dx = (8x + 2y + 2) / (1 - 2x - 9y²). Differentiation is one of the most important concepts in calculus. The slopes of differentcurves at different points can be found using differentiation.

Discussion

1713.	What is next in this series? 1, 4, 10, 19, 31, _
Answer» What is next in this series? 1, 4, 10, 19, 31, _ Solution:

Discussion

1714.	What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x)? 1/3, 1/2, 2, 13
Answer» What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x)? Solution:

Discussion

1715.	For the vectors a = 1, 4 and b = 2, 3 , find orth ab.
Answer» For the vectors a = 1, 4 and b = 2, 3 , find orth ab. Solution:

Discussion

1716.	An equation of the line that contains the origin and the point (1,2) is
Answer» An equation of the line that contains the origin and the point (1,2) is Solution:

Discussion

1717.	Use this equation to find dy/dx. 5y cos(x) = x2 + y2
Answer» Use this equation to find dy/dx. 5y cos(x) = x²+ y² Solution:

Discussion

1718.	Find the point, m, that is two-sevenths of the distance from a(-9, 2) to b(-2, -12)
Answer» Find the point, m, that is two-sevenths of the distance from a(-9, 2) to b(-2, -12) Solution:

Discussion

1719.	The slope of the curve y3- xy2 = 4 at the point where y = 2 is
Answer» The slope of the curve y³- xy²= 4 at the point where y = 2 is Solution:

Discussion

1720.	Find the width of a rectangle with a perimeter of 90 and a length of 15.
Answer» Find the width of a rectangle with a perimeter of 90 and a length of 15. Solution:

Discussion

1721.	Solve the system of equations 3y + 2z = 12 and y - z = 9.
Answer» Solve the system of equations 3y + 2z = 12 and y - z = 9. Solution:

Discussion

1722.	The number of subsets that can be created from the set {1, 2, 3} is:
Answer» The number of subsets that can be created from the set {1, 2, 3} is: Solution:

Discussion

1723.	A football is kicked into the air from the initial height of 3 ft. The height, in feet, of the football above the ground is given by s(t) = -16t2 + 35t + 3, where t is time in seconds and t > 0. Which is closest to the time when the football will be 20 ft above ground?
Answer» A football is kicked into the air from the initial height of 3 ft. The height, in feet, of the football above the ground is given by s(t) = -16t²+ 35t + 3, where t is time in seconds and t > 0. Which is closest to the time when the football will be 20 ft above ground? Solution:

Discussion

1724.	Find the points on the given curve where the tangent line is horizontal or vertical r = eθ
Answer» Find the points on the given curve where the tangent line is horizontal or vertical r = e^θ Solution:

Discussion

1725.	What is the equation of the horizontal line that passes through the point (1, -5).
Answer» What is the equation of the horizontal line that passes through the point (1, -5). Solution:

Discussion

1726.	Prove that if n is an integer and 3n + 2 is even, then n is even using a) a proof by contraposition. b) a proof by contradiction.
Answer» Prove that if n is an integer and 3n + 2 is even, then n is even using a) a proof by contraposition. b) a proof by contradiction. Solution:

Discussion

1727.	Consider the parabola y = 8x - x2. Find the slope of the tangent line to the parabola at the point (1, 7).
Answer» Consider the parabola y = 8x - x². Find the slope of the tangent line to the parabola at the point (1, 7). Solution:

Discussion

1728.	Find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)= x2- 4x + 10.
Answer» Find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)= x²- 4x + 10. Solution:

Discussion

1729.	Find a cartesian equation for the curve and identify it. r = 2 tan(θ) sec(θ)
Answer» Find a cartesian equation for the curve and identify it. r = 2 tan(θ) sec(θ) Solution:

Discussion

1730.	What are the coordinates of the vertex of the graph of the function y = -3x2 - 12x + 3?
Answer» What are the coordinates of the vertex of the graph of the function y = -3x² - 12x + 3? Solution:

Discussion

1731.	Find a cartesian equation for the curve and identify it. r = 4 tan(θ) sec(θ)
Answer» Find a cartesian equation for the curve and identify it. r = 4 tan(θ) sec(θ) Solution:

Discussion

1732.	The point P(3, 4) is on the terminal side of θ. Evaluate tan θ.
Answer» The point P(3, 4) is on the terminal side of θ. Evaluate tan θ. Solution:

Discussion

1733.	What is the explicit formula for the arithmetic sequence -7.5, -9, -10.5, -12, ....?
Answer» What is the explicit formula for the arithmetic sequence -7.5, -9, -10.5, -12, ....? Solution:

Discussion

1734.	Find the value of x if necessary round your answer to the nearest tenth.
Answer» Find the value of x if necessary round your answer to the nearest tenth.

Discussion

1735.	Find two unit vectors orthogonal to both 7, 5, 1 and -1, 1, 0 .
Answer» Find two unit vectors orthogonal to both 7, 5, 1 and -1, 1, 0 . Solution:

Discussion

1736.	A multiple choice test has 10 questions, each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Round your answer to four decimal places.
Answer» A multiple choice test has 10 questions, each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Round your answer to four decimal places. Solution:

Discussion

1737.	Find the slope of the tangent line to the parabola y = 4x - x2at the point (1, 3)
Answer» Find the slope of the tangent line to the parabola y = 4x - x²at the point (1, 3) Solution:

Discussion

1738.	If g(x) = x2 + 3, find g(4).
Answer» If g(x) = x² + 3, find g(4). Solution:

Discussion

1739.	The combined perimeter of an equilateral triangle and square is 10 cm. Find the dimensions of triangle and square that produce the minimum total area
Answer» The combined perimeter of an equilateral triangle and square is 10 cm. Find the dimensions of triangle and square that produce the minimum total area Solution:

Discussion

1740.	Given the function f(x) = 0.5(3)x, what is the value of f-1(7)?
Answer» Given the function f(x) = 0.5(3)^x, what is the value of f^-1(7)? Solution:

Discussion

1741.	If f(x) = x2 + 1 g(x) = 5 - x. (f + g)(x) = ?
Answer» If f(x) = x²+ 1 g(x) = 5 - x. (f + g)(x) = ? Solution:

Discussion

1742.	Solve 2x2 + 12x - 14 = 0.
Answer» Solve 2x²+ 12x - 14 = 0. Solution:

Discussion

1743.	If n2 is divisible by 3 then n is divisible by 3. (True or false)
Answer» If n² is divisible by 3 then n is divisible by 3. (True or false) Solution:

Discussion

1744.	What is the solution set of 2x2 + x = 15?
Answer» What is the solution set of 2x²+ x = 15? Solution:

Discussion

1745.	Which is a factor of 6x3y + 6xy - 12x2- 12? x + 2, xy - 1, x2 + 1, x2 - 2
Answer» Which is a factor of 6x³y + 6xy - 12x²- 12? Solution:

Discussion

1746.	Which equation is true for x = -6 and x = 2? 2x2 - 16x + 12 = 0 2x2 + 8x - 24 = 0 3x2 - 4x - 12 = 0 3x2 + 12x + 36 = 0
Answer» Which equation is true for x = -6 and x = 2? Solution:

Discussion

1747.	If f(x) = 2x2 - 10, find f(5)?
Answer» If f(x) = 2x²- 10, find f(5)? Solution:

Discussion

1748.	Given sinx= -4/5 and x is in quadrant 3, what is the value of tan x/2.
Answer» Given sinx = -4/5 and x is in quadrant 3, what is the value of tan x/2. Solution:

Discussion

1749.	Find the exact length of the curve. y = 2 + 2x3/2, 0 ≤ x ≤ 1.
Answer» Find the exact length of the curve. y = 2 + 2x^3/2, 0 ≤ x ≤ 1. Solution:

Discussion

1750.	Which of the following is the solution to the differential equation dy/dx = e(y + x) with initial condition y(0) = -ln4 y = -x - ln4 y = x - ln4 y = -ln(-ex + 5) y = -ln(ex + 3) y = ln(ex + 3)
Answer» Which of the following is the solution to the differential equation dy/dx = e^{(y + x)}with initial condition y(0) = -ln4 Solution:

Discussion

Explore topic-wise InterviewSolutions in .

How many ways can 5 basketball players be listed in order in a program?

If the sum of the interior angles of a polygon is 540 degrees, then how many sides does the polygon have? 5, 6, 7, 8

What is the equation of a horizontal line passing through the point (2, 10)?

Find the distance between points p (-3, 4) and q (1, 6).

Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution.

What is the solution to the system of equations? y = 2/3 x + 3x, x = -2

Solve the equation on the interval [0, 2π). sin2x - cos2x = 0

Find dy/dx by implicit differentiation. x2 - 8xy + y2 = 8

Use the equation given below to find f''(π/4) . f(x) = sec(x)

Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0

What's the area of an equilateral triangle with sides of 10 inches and height of 7 inches?

How to differentiate y = 3y3 + 4x2 + 2x + 2xy + 1with respect to x?

What is next in this series? 1, 4, 10, 19, 31, _

What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x)? 1/3, 1/2, 2, 13

For the vectors a = 1, 4 and b = 2, 3 , find orth ab.

An equation of the line that contains the origin and the point (1,2) is

Use this equation to find dy/dx. 5y cos(x) = x2 + y2

Find the point, m, that is two-sevenths of the distance from a(-9, 2) to b(-2, -12)

The slope of the curve y3- xy2 = 4 at the point where y = 2 is

Find the width of a rectangle with a perimeter of 90 and a length of 15.

Solve the system of equations 3y + 2z = 12 and y - z = 9.

The number of subsets that can be created from the set {1, 2, 3} is:

A football is kicked into the air from the initial height of 3 ft. The height, in feet, of the football above the ground is given by s(t) = -16t2 + 35t + 3, where t is time in seconds and t > 0. Which is closest to the time when the football will be 20 ft above ground?

Find the points on the given curve where the tangent line is horizontal or vertical r = eθ

What is the equation of the horizontal line that passes through the point (1, -5).

Prove that if n is an integer and 3n + 2 is even, then n is even using a) a proof by contraposition. b) a proof by contradiction.

Consider the parabola y = 8x - x2. Find the slope of the tangent line to the parabola at the point (1, 7).

Find the coordinates of the vertex for the parabola defined by the given quadratic function f(x)= x2- 4x + 10.

Find a cartesian equation for the curve and identify it. r = 2 tan(θ) sec(θ)

What are the coordinates of the vertex of the graph of the function y = -3x2 - 12x + 3?

Find a cartesian equation for the curve and identify it. r = 4 tan(θ) sec(θ)

The point P(3, 4) is on the terminal side of θ. Evaluate tan θ.

What is the explicit formula for the arithmetic sequence -7.5, -9, -10.5, -12, ....?

Find the value of x if necessary round your answer to the nearest tenth.

Find two unit vectors orthogonal to both 7, 5, 1 and -1, 1, 0 .

A multiple choice test has 10 questions, each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Round your answer to four decimal places.

Find the slope of the tangent line to the parabola y = 4x - x2at the point (1, 3)

If g(x) = x2 + 3, find g(4).

The combined perimeter of an equilateral triangle and square is 10 cm. Find the dimensions of triangle and square that produce the minimum total area

Given the function f(x) = 0.5(3)x, what is the value of f-1(7)?

If f(x) = x2 + 1 g(x) = 5 - x. (f + g)(x) = ?

Solve 2x2 + 12x - 14 = 0.

If n2 is divisible by 3 then n is divisible by 3. (True or false)

What is the solution set of 2x2 + x = 15?

Which is a factor of 6x3y + 6xy - 12x2- 12? x + 2, xy - 1, x2 + 1, x2 - 2

Which equation is true for x = -6 and x = 2? 2x2 - 16x + 12 = 0 2x2 + 8x - 24 = 0 3x2 - 4x - 12 = 0 3x2 + 12x + 36 = 0

If f(x) = 2x2 - 10, find f(5)?

Given sinx= -4/5 and x is in quadrant 3, what is the value of tan x/2.

Find the exact length of the curve. y = 2 + 2x3/2, 0 ≤ x ≤ 1.

Which of the following is the solution to the differential equation dy/dx = e(y + x) with initial condition y(0) = -ln4 y = -x - ln4 y = x - ln4 y = -ln(-ex + 5) y = -ln(ex + 3) y = ln(ex + 3)