Question: 21. For the circle x2 + y2 = 25, a. find y when x = 4. b. find the slope of the tangent line where

21. For the circle x2 + y2 = 25, a. find y when x = 4. b. find the slope of the tangent line where x = 4. c. find the points at which dy = 0. dx d. If the radius starts increasing at a constant rate of 2 cm/sec, how fast is the area increasing when r = 6 cm?\f\f

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!

Let P(3, 4) be a point on the circle x2 + y2 = 25 (see figure). (a) What is the slope of the line joining P and O(0, 0)? (b) Find an equation of the tangent line to the circle at P. (c) Let Q(x, y)...

1. Find the slope of the line segment from P:( x,x2 + x) Q=(a,a2 + a) fora-#3:. 2. Find the distance (that is, the shortest distance) from the point (1, 8) to the line L : 3y- x : 3. 3. Find an...

You are given the circle, x2 + y2 = 25. (a) At what two points is x = 4? Point A: (4, ) (smaller y value) Point B: (4, ) (larger y value) (b) Find the equation of the tangent line to the circle at...

Solve using iterated integrals. 1. Find the area bounded by x2 - 6x + y = 0 and x2 - 2x - y = 0. 2. Find the smaller area cut from the circle x2 + y2 = 25 and x = 3. 3. Find the area bounded by the...

15. [l0.33 Points] DETAILS SPRECALC'I 2.1.062.Ml. 0/5 Submissions Used Find the domain of the function. (Enter your answer using interval notation.) F(X)=\\/29x Need Help? MY NOTES ASK YOUR TEACHER...

The diagram shows the circle x 2 + y 2 = 25 and the line x 7y + 25 = 0. Find the coordinates of A and B. y 6- x- 7y + 25 = 0 up B 4 A 3- 2- -8 -7 -6 -5 -4 -3 -2 -1, 1 2 3 4 $ 6 7 8 -2 - -3 - -4 x2 +...

. Find an equation of the line tangent to the circle x^2 + y^2 = 25 at the point P when: (a) P = (3, 4) (b) P = (4, 3) (c) P = (0, 5) (d) P = (5, 0)

Please see attachments for questions. 7. [-/1 Points] DETAILS SCALC8 15.2.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume of the solid by subtracting two volumes, the solid enclosed...

please help me 1. Suppose F = (y + 8x, 5x + 32, 9y + 3x) and S is a surface bounded by C, a circle with radius 5, center at (7, 0, 0), in the plane x = 7, and oriented counterclockwise as viewed from...

with detailed solution V 3x + 4. (3 points) 2. Consider the points P(-2, 5), Q(10, -11), and R(12, y) in the Cartesian plane. I a. Find the standard equation of the circle having P and Q as endpoints...

Compare the challenge in bringing a new product/service to market from inside of Nike to the option of spinning it out into a free-standing venture? Why do you think one is more challenging than the...

At the beginning of the 21th century, many financial scandals have occurred in the US market and abroad. Many internal and external factors have contributed to the failure of the global financial...

Leona is an investment banker for a major Canadian bank and has been a member of her employer's defined contribution pension plan ( DCPP ) for the last 1 3 years. She is retiring from her full - time...

Amonth after the mid-semester examination, a student approaches his instructor with a doctor's note and requests the instructor to ignore his poor exam performance by not including it in the...