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Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A: First obtain the derivative of the given equation as follows.

Q: The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2. We...

A: f"(7)=-2 Since f " (7) < 0 so at x=7 f(x) is concave down.

Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: k-1 k(3) Find the sum. (Remember to show work!) 5.

A: We will find the required sum by substituting k=1,2,3,4 in k(3)^(k-1) and then add

Q: Problem 1 Parts 1, 2, and 3

A: To determine:Part 1) Approximate value of f(3.01) using linear approximation.Part 2) The actual valu...

Q: Find dy/dx

A: Given expression,

Q: Need help and exlination on solving this problem

A: Click to see the answer

Q: Use the Fundamental Theorom of Calculus to write the number 26 as an integral. 1.) If I pick the l...

A: (1)Write the number 26 as an integral.

Q: Use a linear approximation (or differentials) to estimate the given number. (Do not round your answe...

A: Given,