Question: If x 2 + y2 = 16, find dx = 4 when x = 7 and y = 8, assume x and y are dt

If x 2 + y2 = 16, find dx = 4 when x = 7 and y = 8, assume x and y

16 ft across the top and 4 ft ft deep. If water

If x 2 + y2 = 16, find dx = 4 when x = 7 and y = 8, assume x and y are dt dependent upon t. DonA conical tank (with vertex down) is 16 ft across the top and 4 ft ft deep. If water is flowing into the tank at the rate of 9 ft 3 / sec, find the rate of change of the depth of the water at the instant when it is 2 ft deep. Rate of change = ft / sec Done

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

If x2 + y2 + 22 = 9, dx = 4, and dy = 7, find dz when (x, y, z) = (2, 2, 1). dt dt dt dz X dt Need Help? Read It Submit

EXAMPLE 9 Since f(x) = (tan x)/ (1 + x2 + x4) satisfies f(-x) = -f(x), it is odd and so tan x -1+12 + , 4 dx =0 4.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. dt 23. /1+ 23...

please solve all the questions in the images! Thank you! 1. Find the particular solution to y ' = 3sin(x) given the general solution is y = C - 3cos(x) and the initial condition y(TT) = 1. (5 points)...

Please help me with calculus puctures are all attached! But only do these problems 7.2:numbers 3-10 all 7.3: number 3a and b (with graph of the rectangles), 16, 39 (right endpoints only - show the 3...

4.3 EXERCISES 1. Explain exactly what is meant by the statement that 5-6 Sketch the area represented by g(x). Then find g'(x) in two 'differentiation and integration are inverse processes." ways: (a)...

2. [0/1.07 Points] DETAILS PREVIOUS ANSWERS HARMATHAP12 12.1.005. Evaluate the integral. Check your answer by differentiating. (Use C for the constant of integration.) x15 dx x16 + C Need Help? Read...

Brett Moore Assignment Section 12.3 due 09/21/2015 at 10:00pm MST 9. (1 pt) (a) Graph r = 1/(7 cos ) for /2

Math 009 Final Exam Instructor: Irene Doo Your Name________________________________ Instructions: The final exam is worth 100 points. There are 25 problems, each worth 4 points. Your score on the...

Compute the nominal annual rate of interest compounded monthly at which $400 paid at the end of every three months for eight years accumulates to $20 000.

The company, Rafflesia Bhd is using the allowance method in estimating uncollectible receivables. Due to the economic slowdown, Raflesia Bhd decided to increase the allowance for impairment of trade...

\ table [ [ Inventory , 1 2 / 3 1 / 2 5 , $ 2 3 0 , 5 0 0 , $ 3 9 1 . 1 0 0 ] , [ Purchaves , 8 7 5 9 1 0 , 1 , 4 6 3 2 0 0 ] , [ Purchave retures, 8 1 . 1 0 0 , 7 3 . 7 0 0 ] , [ Purchave divcounts,...

Connecting that which we know to which we are learning, how is connecting text to our own experiences strategy used? How can it be used in the classroom?

2. Take as your starting point a conflict you experienced recently with a close friend. Try to go through the communication that took place and answer the following questions: a) What was the main...

2. In this chapter, the reader should reflect on the following concepts: Differences, relationships, processes, patterns, contexts, symmetrical rela-tionships, complementary relationships, linear...

1. Discuss the following statement: Everything is seen, heard and said by a subject, and accordingly is subjective.