f we want to integrate a rational function using partial fraction decomposition, what is the first thing we have to do?

Q: Evaluate the definite integral. 9 [² t² ln(2t)dt

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Q: Let f(x) = f'(x)= 1 x-4 Find f'(x).

A: I have done solution step by step in detail....go through the solution

Q: II. Factor Completely. 4) f(x) = 6x4-20x²-16 given that -2 is a root 5) g(x) = 5x³ - 2x + 3 given…

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Q: 4 -5 return this question to its initial state Given the equation y=x+2, first identify the slope:…

A: We can solve this as follows:

Q: Use the following data to find the indicated derivative. Hint: Use derivative rules to write h'(x)…

A: Given query is to find the derivative.

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Q: 2.) Depreciation. Pelican Fabrics purchases a new video surveillance system. The value of the system…

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Q: f(x) = x², g(x)=√x-3 Find (fog)(x). (x-3) Find the domain of (fog)(x). (Enter your answer using…

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Q: a) Find the volume of the solid formed by rotating the region y = 1, 1 ≤ x ≤ ∞ about the z-axis.

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Q: ind the value of c> 0 such that the area of the region enclosed by the parabolas y Preview My…

A: Topic :- application of integration

Q: Determine whether the plane passes through each point x + 3y - 2z - 1 = 0 (a) (-7, 2, -1) O Yes O No…

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Q: pl= (x+4)³²-2 Vertex = (-4,-2) what is the domain and what is the largest the function is - Use…

A: The given function is P(x)= (x+4)2 -2 1) What are the domain and range? 2) What is the largest open…

Q: 4. Point G is located at -18. Points H and I are each 10 units away from point G. (a) Plot point H…

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Q: Graph the functions including the labels of 2 key points and any asymptotes ON the graph. 1. y = 2…

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Q: 10.) Use the First Derivative Test to find any relative maximum, relative minimum, increasing, and…

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Q: The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is…

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Q: Suppose that f(x)=x². (a) What is the average rate of change of f(x) over each of the following…

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Q: A car travels along a horizontal line according to the function s(1) = −61³ - 41² + 1 where t is…

A: If a displacement function s(t) is given  for time t in hours, then velocity v(t)=ds(t)dt

Q: Suppose that the function g is defined, for all real numbers, as follows. 2 -x+4 if x #2 ²+4 g(x)=-…

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Q: 9. Determine the area of the shaded shapes in Figure 12.48. Explain your reasoning. Figure 12.48…

A: Given data:-

Q: Simplify 1 + sin(t) 1 + csc(t) to a single trig function.

A: Put, csc(t) = 1/sin(t)

Q: 4-¹ { 1))} (5 + 1 (s + 1)(s² + 1 a) b) = Show Transcribed Text e -t 1 1 -cost +-sent 2 Show…

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Q: The Integrating Factor of the differential equation dy dx + y tan x = sec x is

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Q: You are given the graph of a function f. y tal 1 2 3 4 X Determine the intervals where the graph of…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: A conservation commission estimates the reproduction function for rainbow trout in a large lake to…

A: Given Reproduction function for rainbow trout fp=58p, p and fp are in thousands and p≤1000

Q: Evaluate tan (5x)ser²(5x)dz Submit Question + C

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Q: = Classifying the graph of a function For each function below, choose the correct description of its…

A: The answers are in step 2.

Q: [f(x)=x²-x-1 g(x) = -x-4 f(g(x))

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Q: The radius of a cylinder is decreasing at a constant rate of 8 meters per minute. The volume remains…

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Q: If f(x) = 4x² - 6x + 6, find f'(4). Use this to find the equation of the tangent line to the…

A: To find the equation of tangent line.

Q: Find the critical numbers of the function g(x) = x4 – 2x² + 7

A: Given query is to find the critical numbers of the function.

Q: The general solution of + y tan x = sec x is dy dx A B (C) (D) y (sin x 1) = C y sec x = cotx + C y…

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Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We have to find the rate of change of perimeter.

Q: 7.) Differentiate. Simplify, if possible. y = 7%-log12 x

A: To find  the derivative

Q: The volume of a cube is decreasing at a constant rate of 511 cubic meters per minute. At the instant…

A: We know volume of cube =side3 Let side of cube =x m

Q: 1. The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers…

A: Graph of the derivative function is given, we have to find the required values. Note:   Since…

Q: of f(x) = 24, find f'(1).

A: Given query is to find indicated derivative.

Q: d for end behavior - Calcwor... = Access ALEKS OGRAPHS AND FUNCTIONS Sum, difference, and product of…

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Q: 3. Which of the following gives the correct subsidiary equation? 1 A. SY + 1+ Y = - S-2 B. SY-1-Y =…

A: Topic = Laplace transform

Q: The Super Math Kitties, Eva and Archer are exploring the gas equation for one mole of oxygen relates…

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Q: Question Find (f-¹)'(a) for f(x) = 5x + 1 when a = 1. Enter an exact answer. Provide your answer…

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Q: 2 P(1) - 1900-1 = -; q (x) = 3x В P ( x) 3

A: A linear differential equation is given by  dy/dx +p(x)y =q(x).

Q: Find the volume of the solid that results when the red region is revolved about the x-axis. f(x) = √…

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Q: Simplify 1 + csc(t) 1 + sin(t) to a single trig function.

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Q: Evaluate the limit or determine that it does not exist. (Give an exact answer. Use symbolic notation…

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Q: ?M Consider the differential equation (y + 1) e³dx = (e* + 1) y dy. What is dy (A (B) (D e* (y - 1)…

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Q: For each function below, choose the correct description of its graph. (a) g(x)=x+4 (b) k(x)=4x²-x-4…

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Q: 2π Find all solutions to cos(8a) = cos(2a) = sin(5a) on 0 < a < 3 Give your answers as a list…

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Q: What is the standard form of this linear differential equation in one variable, (y + 1) dx + (4x −…

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Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

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