10/30/20

Derivatives of Inverses #15
Suppose  is a one-to-one, differentiable function and its inverse function  is also differentiable. One can show, using implicit differentiation (do it!), thatFind  if  and .
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10/16/20

At what rate is the area of the square increasing?
Each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square increasing when the area of the square is 81 cm2?
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10/16/20

What are the dimensions of the rectangle with the maximum​ area? What is the​ area?
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola y=16−x^2. What are the dimensions of the rectangle with the maximum​ area? What is the​ area?
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09/29/20

For j(x)=(1−x^2)(−3x^2+2x) find j′(0) by applying the product rule
please reply with answer.
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09/23/20

Two times a number increased by seven
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09/22/20

Suppose g is the inverse function of f an f(7) = -2, f(-3) = 4, f'(7) = 1/2 and f'(-3) = -3/4. Find g'(4).
Thank you for any help you can give me. I am struggling with inverse function in my calculus class and am studying for a test.
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09/22/20

construct a polynomial function of least degree possible using the given information.
How to solve this question?construct a polynomial function of least degree possible using the given informationQuestion: Real roots: -2, 1/2 (with multiplicity 2) and (-3,f(-3))=(-3,5)
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09/22/20

Algebra of Functions: Arithmetic

Given: f(x) = x2 + 2x + 1, find f(x + h) and simplifycould you explain where the h comes from
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09/22/20

Algebra or Functions: Arthimetic
F(x) = x + 2 and h(x) = 1 / x -12f(x) - h(x) =
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09/21/20

Kira, Alonzo, and Bob have a total of $130 in their wallets. Bob has 3 times what Alonzo has. Alonzo has 10$ less than Kira. How much do they have in their wallets?
I would also like to be shown how to solve these types of problems, not just the answer.
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09/21/20

The length of a rectangle is three more than twice the width. The perimeter is 98. What are the dimensions?
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09/18/20

Urgent!!!! Can someone please answer? Thanks!
1- Which transformation represents the following rule? (x, y) —> (-x, y)a. Reflection X axisb. Rotation 180°c. Reflection y=xd. Reflection y-axis2- To which transformation is related to... more
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09/18/20

Urgent! Can someone please answer? Thanks
Which transformation represents the following rule? (x,y) (x,y-b) A. Horizontal translation to the right B. Horizontal translation to the left C. Vertical translation down D. Vertical translation up
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09/17/20

Find two functions f and g such that h(x)= [f o g](x). Neither function may be the identity function f(x)=x.

h(x)= (square root) √(2x-6-1)h(x)= Please walk through the steps to solve this as well as the solution
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09/17/20

− 1 ≤ | − 8 x + 7 | --------- − 4 | x + 5 | < − 9

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09/16/20

The coordinates of points T are (0,5). The midpoint of ST is (6,-7). Find the coordinates of point S
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09/16/20

i need help on algebra

If y varies directly with x and x = 110 and y = 66, find y when x = 80.
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09/16/20

A line includes the points (7,6) and (1/6) what is it equation in slope-intercept form

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09/16/20

If y = (x − 1)^2 + 2, find the slope of y at the point (2, 1)
PLease reply with answer!
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09/15/20

The width of a rectangle is 8 inches more than its length. The perimeter of the rectangle is 24 inches. What are the width and length of the rectangle?
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09/15/20

Precalculus Question
Determine the average rate of change of the function g(x) = 1/x from x=1 to x=h with h>1. FULL STEP BY STEP answer please
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08/26/20

Given the following graphs of f ( x ) f(x) and g ( x ) g(x), find the value of x → 4 [ f ( x ) g ( x ) ] x→4 lim ​ [f(x)g(x)] in simplest form.
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08/06/20

Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (±7, 0), distance between foci: 4
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07/31/20

Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table.
Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t (sec) 0 10 20 30 40 50 60 v (ft/s) 0 9 31 56 71 68 50 Estimate the distance traveled by the... more
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04/28/20

Local Extrema problem
Find all local extrema of the function f(x)= 1/x-1 + 1/x on the interval (0,1).
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