01/03/19

i need help with derivative on an inverse?

If f(x) = x^3+x , and a = 10 find (f^-1)'(a) = ? Find (f^-1)'(2) if f(x)=2x^2-3x for x>0

01/01/19

Implicit Differentiation help?

If x^2 +xy = 10 , then when x =2 , dy/dx = ?

12/31/18

What is an equation of a line tangent to 2x^2 + y^2 -4x -3y -16 = 0 that contains the point (-3.5, 6)?

What is an equation of a line tangent to 2x2+y2-4x-3y-16=0 that contains the point (-3.5, 6)?The point is in the tangent line, not the equation of the oval.I found the derivative of the oval to be... more

12/27/18

The height of a triangle is 8 centimeters greater than three times its base.

The height of a triangle is 8 centimeters greater than three times its base. The area of the triangle is 128 square centimeters. What is the base of the triangle?The answer I got was 8 cm.

Compounding depreciation

If something is worth 2,702 units on Day 1 and 2,316 units on Day X and is decreasing at a 0.30% rate per day, how many days will it take?

12/21/18

Roller Coaster Design

Imagine you are a roller coaster designer, and are asked to mathematically represent the curve of the first drop of a new ride. By looking at some of your favorite coasters, you determine that the... more

12/19/18

Solution to system of equations

What is the solution to the system of equations if first line has slope of 2 and passes through points 1,-1 and second line passes through points 8, -5 and 10, -10

math question! super confused

A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $49,100 per month. A television ad costs $1000, a... more

12/07/18

A rectangular storage container with open top is to have a volume of 50ft^3. The length of the base of the container is to be twice its width. Find dimensions that minimize cost of materials for box

Material for the sides cost $5 per square foot, and materials for the base cost $8 per square foot.

12/05/18

need help please!!!!

find the area bounded by the curves y=8x-x^2 and y=3x

Calculus: Point of Normal Line

Find all point on the graph of x^2/3 + y^2/3 = 8 at which the normal line is parallel to the line y −x = 10.

12/03/18

You have a string with a length of 24 ft closed up in a loop.

You make a square with part of it, and an equilateral triangle with the other part. Keeping these two basic shapes, we decrease the side of the square at a rate of 4 ft/s. At what rate are the... more

Find an equation for the tangent line to the implicit curve at a point.

sin(x−y) =xcos(y+π/4) at the point (π/4, π/4)

11/18/18

Integral of (5+sqrt(x)/5-sqrt(x))dx?

Comment if any extra clarification is necessary.

Finding relative extremes/extrama x-coordinates using the Second Deritavtive Test to find the x-coordinates of all relative extremes/extrema

Hi, I got a question regarding using a Second Derivative Test to find the x-coordinates of all the relative extremes/extrema if they exist for f(x) = x4 - 4x3 + 4x2 .I took two derivatives of this... more

11/07/18

Given the function

Given the function f(x) = 0.7e^1.4x- find its inverse- state the domain and range of each function- graph both functions on the same set of axes

11/06/18

Distance Problem

Hello,Trying to confirm if 26 meters is the correct answer for the problem below:A fox notices a rabbit that is 30 meters away. The fox's leap is 2 meters whereas the rabbit's leap is 1 meter. If... more

By the Mean Value Theorem, we know there exists a c in the open interval (2,5) such that f′(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

f(x)=8√(x)+1I find the mean or average slope its 2.1933 and I know to find C you have to take the derivative of your functionwhich is 4/√x and set it equal to 2.1933 and then solve for x. Which i... more

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