Use partial fractions to evaluate the integral. 2x²-1 (4x-1)(x² +1) dx

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: aluate the integral: 25-x2 12x² is correct for this integral? √ √ 25 ▶ Which trig substitution Ox =…

A: Given query is to find the the integral after substitution.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given query is to find critical numbers.

Q: The function f(x,y) = 4xy has an absolute maximum value and absolute minimum value subject to the…

A: maximum value is =484 minimum value is =-44

Q: Find the solution of the differential equation y" + 10y' + 25y = 0 satisfying the initial conditions…

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Q: Find for the function y = 17. dy dx

A: See this solution in below.

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: can you check if my procedure and answer is right?

A: I am answering this question.

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = 7, u'(0) = -2,…

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Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

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Q: Find f'(x). f(x) = 6x² - 4 ex f'(x) = (Type an exact answer in terms of e.)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Find the limit lim x →∞ (e-x^2)

A: lim x →∞ (e-x^2)

Q: Let f(x, y) = x² - 4xy, r(t) = (cos(t), sin(t)). Use the Chain Rule to calculate f (r(t)) at the…

A: We have to find the derivativedf(r(t)dt of the function  f(x,y)=x2-4xy , r(t) = cost, sint , at t=π2

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A: See this solution in the below.

Q: Leveled Practice What is the graph of the equation y = 2x + 4? 0 ). Plot this point. The y-intercept…

A: giveny=2x+4

Q: Given f(x, y, z) = √√√− 6x + y − 2z,

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

A: The distance travelled by an aircraft along a runway is given by D = 59t2 The speed at which…

Q: For which value(s) of x does the graph of f(x) = 6x 1 + x2 have a horizontal tangent line? 0±1…

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Q: If a population is now 7.6 billion people and it continues to grow at an annual rate of 1.4%…

A: Topic- Exponential function Current population=7.6 billion=7.6×109annual rate of growth compounded…

Q: Question Calculate the limit. lim n→→∞ [(n+2)!] [n If the limit does not exist, enter Ø. Provide…

A: Given    limn→∞ (n+8)!(n+2)!

Q: which exactly are the answers?

A: Revenue Function= x ×(Demand function) Total cost function = (average cost function)×(the  total…

Q: The graph of fis shown below. On what interval is f' an increasing function? 2 Select one: a. (2, ∞)…

A: The graph of the function fx is To evaluate: The interval on which f'x is increasing.

Q: Your teacher has given you the innitial value Solve it and problem write your as a symbolic function…

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Q: Using the Lagrange multiplier method, identify the point on the given plane that would be closest to…

A: Let's find closest point to (1,2,3).

Q: Use cylindrical coordinates. Evaluate III. (x + y + z) dv, where E is the solid in the first octant…

A: Let's evaluate triple integral by using cylindrical coordinates.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ln(x - 4y),…

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Q: Consider the integral 6 1² (332² (3x² + 4x + 4) dx (a) Find the Riemann sum for this integral using…

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Q: The price of a certain model Honda is $30,000. The hybrid version is $33,600. what is the percentage…

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Q: The radius of a spherical balloon is measured to be 7 inches, with a possible error of 0.03 inch.…

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Q: Calculate R8 for f(x) = 9 - x over [3, 5]. R8

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Q: Find the point on the graph of the function f(x) = (x + 1)² that is closest to the point (-6, 1).…

A: Concept: The distance formula for the points x1,y1 and x2,y2 D=x2-x12+(y2-y1)2

Q: = √x + 2,-2 ≤ x ≤2 ax²-bx, x+1 x-2 ) 2 3

A: Topic:- calculus

Q: Find f'(x). f(x) = 4 Inx + ex − 5x² -

A: We will find the required derivative.

Q: Use the graph of the line given below to answer parts a) and b). a Find the slope of the line given…

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Q: 2² +0.28 from a dose of a grams of a drug, where 0 ≤ x ≤ 1.5. Find f'(0.2) and select the…

A: Given query is to find the derivative at indicated point.

Q: Let r(t) = = (t4, 18) g(t) = sin(71) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: Y=4csc x A, B, C, or D

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Q: Write the equation of the linear function whose graph satisfies the given conditions. Passes through…

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Q: 5. If y=5x²-3x + 10, give y'(-1)

A: We have to find the y'(-1).

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Topic:- application of integration

Q: Find an equation of the level curve of the function h(x, y) = 3 – x² - y² that passes through the…

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Q: Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does…

A: As per the rules of the company we are supposed to answer the first question and rest can be…

Q: -) Consider the function f: R\{-1} → R given by f(z): your claim. z+1' Find the image off and prove

A: Note : According to our guidelines if more than one question is given, we can answer only first…

Q: Find for the function y = 29*. dy dx

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Q: III. Consider the function g(x) whose graph is shown below. The domain and range of g(x) are 49 R…

A: Given   1. The graph of function gx   2. List of points

Q: 11. find y₁, Y = √3x +3

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Q: IV. Given the functions f(x) = 2x + 5, g(x)=x² - 6x +7, and h(x) = the following. Show complete…

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: Evaluate IdA dA, where R is the region in the first quadrant bounded by y2-x3 and the line y=x. R O…

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Q: In Exercises 117-119, perform the indicated operations. 1 1 1 117. x" - 1 x" + 1 2n 1 (1 -) - 1 1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…