step by step please.
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...