Graph y = √x on a sheet of paper. Label the points x = 4 and x = 16 on the x –axis. Find the corresponding point on the curvy y = √x at x = 4 (Call this Point P_{4}) and x = 16 (Call this Point P_{16}). Draw the tangent lines at P_{4} and P_{16}. Compare the tangent lines you constructed.
a. 
The slope of the tangent at x = 4 is less than the slope of the tangent at x = 16 

b. 
The slope of the tangent at x = 4 is greater than the slope of the tangent at x = 16 

c. 
The slope of the tangent at x = 4 is equal to the slope of the tangent at x = 16 

d. 
The slope of the tangent at x = 4 exist but the slope of the tangent at x = 16 does not exist. 

e. 
None of these 
When x=4 then y=sqrt(4)=2
So point is (4,2)
When x=16 then y=sqrt(16)=4
So, point is (16,4)
Then we draw tangents at P4 and P16.
The violet line is t...
Q: 5 when 4. Suppose y varies at a constant rate of change of 2.2 with respect to z, and y a. Write a f...
A: The expression relating x and y can be written in point slope form which is shown on board.
Q: How do you solve this? How do I know which f(t) to use?
A: Given that the function f is defined as: To evaluate the required function, the correct function fro...
Q: Find a general expression for the velocity of the rock at any time t. s(t)=6416t2,
A: Given,The displacement vector of a rock, S(t) = 64 – 16t2We need to find the general expression of v...
Q: For problem 11, I have done the proof, but don't know how to interpret the result geometrically. Ple...
A: Since you have asked a very specific query with respect to Q  11, I will address that query itself....
Q: Find the volume of the solid obtained by rotating the region enclosed by y=x^2, y=6x, about the line...
A: We know that,
Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)
A: First simplify the given function as follows.
Q: The position of an object moving along a line is given by the function s(t)=−14t2+56t. Find the aver...
A: Obtain the velocity given the position of the object as,
Q: Find the instantaneous rate of change for the function at the given value. f(x)=x2+4x at x=4
A: The instantaneous rate of change of a function at a point can be evaluated first by finding the deri...
Q: If f(x) 4*, show that 4h1 f(x h) f(x) h h
A: The given function is f(x) = 4x.
Sorry about that. What wasn’t helpful?