Question: If L = x 2 + y 2 , dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y =

If L = √x2 + y2, dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 12.

Step by Step Solution

★★★★★

3.27 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find dLdt we need to use the chain rule dLdt Lx dxdt Ly dydt where Lx and L... 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:

In a single phase induction motor driving a fan load, the reason for having a high resistance rotor is to achieve (A) low starting torque (C) high efficiency (B) quick acceleration (D) reduced size

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:

An airplane flies at an altitude of y = 3 miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation @...

Q:

1. Given L = \\x2 + y2, a. Find dL/dt if dx/dt = -1 and dy/dt = 3, when x = 5 and y = 12. b. How does dx/dt relate to dy/dt if L is constant? 2. The surface area of a is given by S= mrs + mr. a. How...

Q:

Use the function f and the given real number a to find (f)'(a). (Hint: See Example 5. If an answer does not exist, enter DNE.) f(x) = x +7x (F-)'(-9) = || - 1, a = -9

Q:

/2 Points] DETAILS LARAPCALC10 2.8.002. MY NOTES Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = 3x2- 5X (a) Find dy/dt, when x = 2,...

Q:

Can you please answer the following questions: 1. A point is moving along y = x^2 + 3x - 6 at a rate of dx/dt = 3 mm/s, find dy/dt , when x = 2. a.) dy/dt= 18 mm/s b.) dy/dt= 12 mm/s c.) dy/dt= 16...

Q:

5. Assume x = x(t), y = y(t) and z = z(t) and that x2 + y2 + z2 = 100, find dz/dt if x = 6, y = 7, dx/dt = 2 and dy/dt = -5 R The volume of a cone is V = (1/3) TI R2h, 6. Suppose the height of a cone...

Q:

need help with practice questions MCV4U Practice Answer (or Solution) Practice Questions 1. Consider the function f(x) defined by the following graph: 2 1-4 -3 -2 -1 2 Find: a) lim f(x) b) lim f(x)...

Q:

You are given the following information for Troiano Pizza Company: sales = $82,400; costs = $38,850; addition to retained earnings = $7,275; dividends paid = $2,750; interest expense = $6,060; tax...

Q:

In a study of 1,228 randomly selected medical malpractice lawsuits, it is found that the proportion that were dropped or dismissed is 0.697. When a 95% confidence interval is constructed for the...

Q:

Anna has a farm that grows fruit. She has a system that monitors the conditions for growing the fruit. Sensors are used in this system. a Explain what is meant by the term sensor. b State two sensors...

Q:

EXERCISE 10.5. Prove that (0) = g/T, where g is the matrix whose matrix element is == gij (2/0)v.

Q:

Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2010. (a) What is the meaning of P'(t)? What are its units?...

Q:

Let B(t) be the number of US $20 bills in circulation at time t. The table gives values of this function from 1990 to 2010, as of December 31, in billions. Interpret and estimate the value of...

Q:

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If f and t are differentiable, then [f(x) +...

Q:

Corona Industries purchased a stamping machine on January 2, 20X1, for $100,000. It made an initial payment of $20,000 and financed the balance over 5 years at State Bank. The loan terms were for...

Q:

here is an example of the question: here is the question ft: (click the icon ts vew the purchases) The conpany sold 292 stoves, and at Joy 31 , the ending imperitory consind ef 68 stsves. The sules...

Q:

Assume that a merchandising company provided the following beginning and ending budgeted balance sheets for a forthcoming month: Cash Accounts receivable Inventory Buildings and equipment Accumulated...