59,485 Answered Questions for the topic Math

07/07/24

Expressing in polar form
How can I express -1- i√(3) in polar form that is z = r(cos θ + i sin θ) ?
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Math

07/06/24

fuel efficiency word problem help needed
A family has two cars. The first car had a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. During one week, the two cars went a... more
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Math

07/06/24

Distribution and hypothesis testing

Briefly explain one real life application on each of the following. You may refer to any organization that you are working with or are familiar with. The application that you are explaining can be... more
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07/05/24

Finding the stationary points of a given function
If given f(x) = x3ex,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)... more
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07/05/24

Proving u and v is perpendicular to the sum of 2u and v
Suppose u and v are such that the sum of u and v is perpendicular to u. If |v| =√(2)|u|, how can I prove that v is perpendicular to the sum of u and v .
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07/05/24

Stationary points of a given function
If given f(x) = x3e3,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)... more
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07/05/24

Finding the condition that m and c satisfy with a given circle
How can I find the condition that m and c satisfy if y = mx + c touches the circle x2 + y2 - 2ax = 0
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07/05/24

Using De Moivre's theorem to prove Trigonemtric Identity
How can I use De Moivre's Theorem to prove,sin 3θ = 3 cos2 θ sin θ - sin3 θ = 3 sin θ - 4 sin3 θ ?
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Math

07/04/24

What is a Prime Number?
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Math

07/03/24

24 equal points on the circumference.
I have a round flat wooden bottom with 9.5" diameter and I need to cut 24 "pickets" to fasten to the rim - it will look like a bowl when finished. How do I lay it out with a ruler making 24 flat... more
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Math

07/02/24

Solve the following inequality:
2/x-2≤x-1Please explain in a detailed step-by-step process, I am very lost. Thank You.
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Math

07/02/24

Pre-Calculus Question Need HELP
A short-wave radio antenna is supported by two guy wires, 120 ft and 145 ft long. Each wire is attached to the top of the antenna and anchored to the ground at two anchor points on opposite sides... more
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Math

07/01/24

A train traveled 1/8 of the distance between two cities in 1/4 of an hour. How long does it take the train to travel b etwee two cities?
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Math

06/30/24

Find dimensions of a box, given the surface areas of its sides
The top of a rectangular box has an area of 108 square centimeters, the sides have areas of 96 square centimeters and 72 square centimeters. What are the dimensions of the box? (reposted question... more
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Math

06/29/24

I am not getting any responses for messaging nor do I see what I sent.
I have messaged three tutors from their profile. However, I have not received any messages back. When I go to the message center or messaging, there is nothing there. Is there a support group or... more
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Math

06/28/24

Given that (7,-6) is on the graph of f(x), find the corresponding point for the function f(x+2).
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Math Calculus

06/27/24

Find the volume of the solid obtained by the revolving the region bounded by the graphs of the functions y = e^x, x = 2, x = 8, y = 0 about the x-axis. Draw a picture to illustrate the computation.
Show all work.
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Math Calculus

06/27/24

Consider the definite integral Z 1 0 e^4x^2 dx. Evaluate using the Simpson’s rule (n = 8), and using the Trapezoidal rule (n = 7). show all work
Consider the definite integral Z 1 0 e^4x^2 dx. Evaluate using the Simpson’s rule (n = 8), and using the Trapezoidal rule (n = 7). Show all work
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Math Calculus

06/27/24

Use the fundamental theorem of Calculus to find the derivative of the following function. F (x) = Z √x x et(sin t + t2) dt
F(x) = Z √x x e^t(sin t + t^2) dt
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Math Calculus

06/27/24

How much money should be deposited in a bank paying a yearly interest rate of 2.75% compounded monthly so that after 10 years the accumulated amount will be 50, 000?
show all work.
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Math

06/27/24

How to find profit function??
Let C(x) = 3x + 350 and R(x) = 24x.(a) Write the profit function P(x).P(x) =  (b) What is the slope m of the profit function?m = (c) What is the marginal profit MP ?MP = (d) Interpret the marginal... more
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Math Calculus

06/25/24

The total worldwide box-office receipts for a long-running movie are approximated by the function T(x) = 100x^2 / x^2 + 25
where T (x) is measured in millions of dollars and x is the number of years since the movie’s released. Sketch the graph of the function T and interpret your results. find critical points, the... more
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Math Calculus

06/25/24

An economist had determined that a certain country’s gross domestic product (GDP) is approximated by the function f (x) = 540x1/3
f(x) is measured in billions of dollars and x is the capital outlay in billions of dollars. Use differentials to estimate the change in country’s GDP if the country’s capital expenditure changes... more
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Math

06/24/24

how to solve this problem
An airplane travels 1228 kilometers against the wind in 2 hours and 1568 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the... more
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Math

06/23/24

A rectangular piece of plastic has an area of 60 square millimeters and a perimeter of 32 millimeters. What are the dimensions of the piece of plastic?
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