4. Answer each of the following in a sentence or two. (a) Suppose you used the 4th right-endpoint approximation R4 to approximate a definite integral. What's one way you could obtain a better approximation to the value of the integral? (b) In order to use the Fundamental Theorem of Calculus Part 1 to compute f(r) dr, what must be true about the function f?

Q: a. What is f'(-1)? b. What is the inverse of the function? c. Find (f-1)' (1)

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative of :- 1 dt 1+ t5 f(x) = %3D

A:

Q: please help thank you somuch

A: Step 1:  Step 2: Step 3: Step 4:

Q: (1 point) Match each indefinite integral on the left with the corresponding functions on the right.…

A:

Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

A:

Q: ET IV. Differentiate the following functions using the differentiation rules. SHOW your solution…

A:

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: Given that the derivative of the function f is defined by f'x=x2+2 sin2x-2.   Also f2=7.   Find: The…

Q: The function, f(x) = √1 + 9x² over the interval 0 ≤ x ≤ 1 (a) Find f'(x). Fully simplify your…

A: Given: A function fx=1+9x2 over the interval 0≤x≤1 To Find:  c) Let g be a function defined by…

Q: I need step by step with explanations, because I turned my brain off and I’m having trouble turning…

A: (a)The function is f(x) = sin4(4x5).

Q: 8. Define a) the derivative of f(x) with respect to r (in terms of a limit). b) the function f(z) is…

A: According to guidelines we solve only first three parts.

Q: 5. Consider the function f(x)=x² +ln x². [Hint: The domain of this function is all real numbers…

A: Given function is f(x)=x2+lnx2

Q: I can't figure out question F in this problem. How do you find the solution when it is [f(x) + 2]dx?

A:

Q: Question 3 Find the derivative of f(x) = √√(x+1)(x+2) (2x + 3) at x = 0 using Log- arithmic…

A: To find the derivative of  at   by  using Logarithmic differentiation.

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a +h…

A: It is given that the graph of the function f and that a and a+h are input values labeled on x-axis.…

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A:

Q: 02 O 1.5 O 0.75 01 The graph of the function f has a tangent line at the point (2, 3) that passes…

A: Solution:

Q: O-16 9

A:

Q: (c) Using the previous part express the definite integral |r| da through the value of | z| dr [Here…

A:

Q: 9 2. What is f'(1) when f(x) = x5 ²+3 8 +3x³ - 3 -15, ?

A: Given,

Q: Q12 Find and classify all critical points of f(x) = x³ - 3x² - 4 using the second derivative test.

A:

Q: Suppose f is a funcțion with an inverse, and suppose f (a) = 0. Then f-1:? v differentiable at f(a).…

A:

Q: 13) Suppose we know that F'(x) = x cot (x). Simplify [25 by expressing this integral in terms of the…

A: