Calculus

Question Part 1 of 3 My score: 37/67 pts 55.22% Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima or local minima, or if the test is inconclusive. fx= 1/4 x4-2x3-18x2+216x ldentify all the critical points that are local minima by the Second Derivative Test. Select th...

Page 14 of 25 Le! gx=x3-1 . What is the average rate of change of the function from z=3 to z=6 1/3 2 8/3 15/6 9

At noon, ship A is 50 km west of ship B. Ship A is sailing south at 20 km/h and ship B is sailing north at 10 km/h. How fast is the distance between the ships changing at 4:00 SCalcET8 3.9.023 PM? Round your answer to one decimal place. 60.0 X km/h Enhanced Feedback

Ponder and respond to the following prompts: Below, you will find a problem worked out in multiple steps. Your task is describe each step in detail, including each derivative rule, if applicable. Problem: Find y given that 4xy=x+y2. Solution: Step 1:4y+4xy'= d/dx x+y2 Step 2:4y+4xy'=1+2yy' Step 3: 4y-1=2yy'-4xy' Step 4: 4y-1=y'2y-4x Step 5: 4y-1/2y-4x =y'

Consider the following initial value problem: y''-5y'-6y=sin 8t y0=5,y'0=-4 Using Y for the Laplace transform of yt , i.e., Y=L yt , find the equation you get by taking the Laplace transform of the differential equation and solve for Ys=frac 5s3-15s2+80s-236s2+16s2-4s-32 ①

Does the series shown below converge or diverge? Give a reason for your answer. sumlimits _n=1 ∈ fty 8n/8n+1 Choose the correct choice below. A. Diverges nth-term test B. Converges nth-term test C. Diverges geometric series D. Converges geometric series

Given the function f, find the slope of the line tangent to the graph of f-1 at the specified point on the graph of f-1 fx=x+12 for x ≥ -1;1,0 The slope of the line tangent to the graph of f-1 at 1,0 is square . Simplify your answer.

The total revenue in hundreds of dollars from the sale of x spas and y solar heaters is approximated by Rx,y=20+260x+372y-5x2-9y2-10xy . Find the number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives R_XX,R_yy , and R_xy. R_xx=-10,R_yy=-18,R_xy=-10 Selling 12 spas and 14 solar heaters gives the maximum ...

Find the minimum and maximum of the function y=2x4-4x2+2on[-3,3] by comparing values at the critical points and endpoints. Give your answers as a whole or exact number. y_min=square -3,4 square

Let gt be defined as follows. gt=5r3 . frac -3r2+53t+1 1/3 Find g'-1 . Give an exact answer, not a decimal approximation. g'-1=square