Question: If y = x 2 and dx/dt = 3, then what is dy/dt when x = -1?

If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find dydt when x 1 we need to differentiate y x2 with res... View full answer

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 Precalculus Questions!

Q:

Good friends Nick, Ricardo and Lauren start a private accounting firm together which they manage and own jointly. Their company may be set up as O A direct investment A partnership A sole...

Q:

The object formed by freezing the region between the curves and the x = 0 line around the y = 1 line; a-) Draw the integration region b-) Find the area. 3. (40p.) y = x+x, y = x 1

Q:

Alejandro Puron recently encountered a dilemma in working with his quality circle (QC) team. One of the team members claims that the QC must always be unanimous in its recommendations....

Q:

Assume that x = x(t) and y = y(t). Let y = x +1 and dx/dt = 3 when x = 1.Find dy/dt when x = 1.dy/dt = (Simplify your answer.)

Q:

Find the indicated rate. 15. Given y = pq, find dp/ dt when p = 30, q = 250, 1. Given y = x', find dy/ dt when x = 2 and dx/dt = -4. dq/dt = -200, and dy/ dt = -5250. 2. Given y = x*, find dy/dt when...

Q:

q.5 260 III CHAPTER 3 DIFFERENTIATION RULES 3.10 Exercises 1. If V is the volume of a cube with edge length x and the cube expands as time passes, find dV/ dt in terms of dx/dt. 2. (a) If A is the...

Q:

Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then whet is dy/dt when x = 2 and y = 5? D 9

Q:

Consider the following system of differential equations for two species x and y: dx/dt = 0.5 x - 0.001 xy , dy/dt = -0.3y + 0.0001 xy (a) What type of interaction is this ? And why ? (b) What are any...

Q:

Use Laplace transforms to find the value of x given that and that x = 2 and dx/dt = 2 when t = 0. d.x 4 + 6x + y = 2 sin 2t dt dx dr + x dy dt = = 3e-21

Q:

Suppose that x - a (t) and y = y(t) are both functions of t. If y2 + 1 = 7, and dy/dt = -1 when x - -2 and y = -3, what is da / dt? dx /dt =

Q:

For each of the following, what type of relationship would you expect between the variables? (a) Sales of hot dogs and sales of hot dog buns (b) The price of winter coats and sales of winter coats...

Q:

In the following situations, decide whether you would use a personal interview, telephone survey, or self-administered questionnaire. Give your reasons. (a) A survey of the residents of a new...

Q:

Human resource director salary is an example of mixed cost fixed cost variable cost step cost

Q:

Problem 10.8. A paramagnetic system sits in a constant external field, Hoz, and therefore has constant magnetization, Moz. Assume that this is the equilibrium configuration of the system and that a...

Q:

Follow the instructions for Exercise 1(a) but use x 1 = 1 as the starting approximation for finding the root r.

Q:

Find the numerical value of each expression. (a) sinh 4 (b) sinhsln 4d

Q:

Differentiate. y = x/e x

Q:

The income statement of Benning Co. for the month of July shows net income of $1,400 based on Service Revenue $5,500, Wages Expense $2,300, Supplies Expense $1,200, and Utilities Expense $600. In...

Q:

Apollo Data Systems is considering a promotional campaign that will increase annual credit sales by $ 7 0 4 , 0 0 0 . The company has a 4 0 % cost of goods sold and will require investments in...

Q:

NPV: No Salvage Value or Taxes Kim Johnson purchased an asset for $80,000. Annual operating cash inflows are expected to be $30,000 each year for four years. At the end of the life of the asset, Kim...