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
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...
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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...
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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
12/12/18
In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE=x2−16 , and CE=6x . What is AC ? Enter your answer in the box. units
This is for some geometry work im doing and i got lost here
12/09/18
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...
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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.
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...
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12/03/18
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)
11/13/18
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...
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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...
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11/06/18
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...
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