58. lim x →0 [1/(x + 4)] − (1/4) X

Q: 1 What is the instantaneous rate of change of y = - at x = 2? t 옆 4 | 2 2 none of these ㅎ 3 0 -1

A: given

Q: The area bounded by the parabola y = 2x-x², the y-axis and the line y=1 is rotated about the x-axis.…

A: Given,The area of bounded by the parabola y = 2x - x2 , the y-axis, and the line y = 1 is rotated…

Q: Find limit x by drawing only

A:

Q: Graph the function and then find the specified limit. When necessary, state that the limit does not…

A: given function

Q: The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the…

A:

Q: Find all solutions to 2 sin(0) = 1 on the interval 0 ≤ 0 < 2T. 0 = Give your answers as exact values…

A: given equation

Q: 2 (q + 12)4 S bp.

A: integral

Q: Problem 2. Calculate the following definite integral: 2x So √²²+1 dz

A:

Q: HB-P y x 9. You spent $3 on popcorn chicken. You will spend an additional $4 per boba to buy boba…

A: Given that :You spent $3 on popcorn chicken. You will spend an additional $4 per boba to buy boba…

Q: Find the value of k that will make the function f(x) continuous everywhere. f(x) = {2²2² (2x + k, 3…

A:

Q: Let à = (2, 4,-2) and 6 - (5, -5,-2). b Find the projection of b onto a. proj; b =<

A: The objective of this question is to find the projection of vector b onto vector a. The projection…

Q: 9 5. Find the equation of the tangent line to the curve y = x² + 3x - 1 at x = 2

A: Given,.Given at x=2.

Q: 12x e³x dx

A:

Q: Suppose that f has a domain of [5, 13] and a range of [6, 16]. f(x) + 2? (a) What are the domain and…

A: The function  has a domain  and a range .The aim is to find the domain and range of (i)  and (ii) .

Q: Use the circle shown in the rectangular coordinate system to solve Exercises 77-82. Find two angles,…

A: What is an angle? An angle is the amount of rotation between two lines that intersect, which is…

Q: O 2x+8 4. Use the definition of the derivative to find (x+h)²+8(x+h)-4-x²-8x+4 h | f'(x) of f(x) =…

A: The objective of this question is to find the derivative of the function f(x) = x² + 8x - 4 using…

Q: Find the Solution of the following differential equation y² + 4y + 3y = 5 22x

A:

Q: Consider the following. 51 5 |x lim I→5 x - 3- y 2- -10-8-6-4-2 1- N 2 4 6 8 10 Use the graph to…

A: To find:-The condition for existence of limit at

Q: Find the limits. f(x) = x + 5 g(x) = x² (a) (b) (c) lim_f(x) = = x → 5 lim_g(x) X→ 4 = lim_g(f(x))…

A: The objective of this question is to find the limits of the given functions as x approaches certain…

Q: Given the function h(x) = x² + 2x − 6 evaluate each of the following. Give your answers as a…

A: Given,

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: The objective of this question is to evaluate the line integral ∫C 10y dx + 3x dy over the…

Q: 5) (5) 6. Solve the equation. (a) (5x + 2)² - 9 = 40 bc -3 -1 (6) χ2 - 3x 11 1

A:

Q: Find the surface area of that part of the plane 9x +3y + z =3 that lies inside the elliptic cylinder…

A: To findThe surface area of that part of the plane  that lies inside the elliptic cylinder The…

Q: 5. y = 2+3 tanx A 6. y=-cot

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Need find the volume of the solid generated by revolving the region by the given curve and lines…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) V

A: given graph of f(x)

Q: Find the value of that will make the function f(x) continuous everywhere. f(x) = = 2 30 17 such a k…

A: The objective of the question is to find the value of 'k' that will make the given piecewise…

Q: In the exercise below, the initial substitution of x = a yields the form 0/0. Look for ways to…

A:

Q: Find the indefinite integral. 9² 9-11 á -dq

A:

Q: Given the point (9, 3) is on the graph of f(x)=√x, what would the point Become on the graph of…

A:

Q: Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-4, -2)…

A: The objective of this question is to compute the line integral of the given function over the curve…

Q: Pls help ASAP

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Solve the differential equation. dy = 1, dx 5√xy y = x, y> 0

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis.

A: Given that, the function is .

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: The objective of the question is to verify the height of the ball at two different times and then…

Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. 2.. Solve…

A:

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table.…

A:

Q: Please help step by step

A: The objective of this question is to rewrite the given quadratic function in vertex form, which is…

Q: (c) What are the domain and range of the function y = f(2x)? (Use symbolic notation and fractions…

A: The function  has a domain  and a range .The aim is to find the domain and range of

Q: ind a simplified form of the difference quotient and (b) complete the following table. [(x)=-3x+2…

A:

Q: Determine the wronskian of the given set of functions and determine whether they are linearly…

A: given

Q: The graph shows the number of trips taken annually on a certain​ state's mass transportation system.…

A: The objective of this question is to find the average rate of change of the number of trips taken…

Q: 3. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

A:

Q: 24. a. tan b. tan 11π 6 11π 6

A:

Q: Find the points on the curve y = x3 + 3x2 - 9x + 4 where the tangent is horizontal. smaller x-value…

A:

Q: Please help step by step

A: The objective of this question is to find the equation of a quadratic function given the vertex and…

Q: 4. Find the area of the region bounded by curves f(x) = ax and g(x) = -b over [1, a]. xb+1

A:

Q: The function f is defined by f(x) = -x³ + x² - 4x and the point (1, -4) is on the graph of f. If g…

A:

Q: Find the derivative of the function and evaluate the derivative at the given​ x-value.

A: The objective of this question is to find the derivative of the function f(x) = 2x²+x-3 and then…

Q: The graph below is the function f(x) -5 -4 -3 -2 f(0) = 5 4 3 2 1 lim f(x) = x-0 + -2 -3 -4 --5- 2 3…

A: