Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

Q: Scot(x)dx

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Q: Find the antiderivative of the function f(x) = 8x³ – 18x2 + 14x - 4 that satisfies f(0) = 0. ANSWER:…

A: Given the query is to find the antiderivative.

Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. What is the…

A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

Q: By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Using the substitution u = x + 1 / Væ +1 dæ is equivalent to 1 u +1 -1/2 du /2 1/2 du (4 – 1) /…

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Q: Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 %3D y(t) = %3D

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: Solve the given Exact Equation. Be sure to supply all the steps that lead to your answer. (cos x cos…

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Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: 26. Let g be the function defined by g(x) = |. +7 - 2--61 dt. On which of the following intervals ie…

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Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: 35. Evaluate |Jxe' dA; where R is the region bounded by y =x, y=0, and x= 1. A) 0.2 C) 0.4 B) 0.5 D)…

A: Region R is bounded by  y= x , y=0  and  x=1

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

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Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: Cot h. q(x) = ニ

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Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: (b) 4 = x + y…

A: Solving

Q: 2 sec" x AX JS -sec? x

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Q: 2. A toy company finds there is a linear relationship between p, the price they charge for a…

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Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

A: Topic:- application of derivatives

Q: Find all the local maxima, minima, and saddle points ne function. f(x,y) = /56x2 - 8y² - 16x – 31…

A: When a function has the largest value it is called local maxima  and when it has the smallest value…

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: solve the question with complete and correct explanation within 15 mins or else downvote

A: Let's find.

Q: D Find the area of Ene shaded region 2. = sincze)

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Q: 1. Find the area bounded by the graphs of y = 6 + x, y = x', and y breaking the region into two…

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Q: Find all zeros of f(x) values, using radicals and/or fractions if necessary, not decimal…

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Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: A radio transmission tower is 510 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given the query is to find the length of the wire.

Q: height. What is the largest volume bag of this shape that you can carry on a flight? (Round your…

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Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: A tangent line to the curve c(t) - (- 4t - 5t + 2, t - 15t - 1) has slope 3 at the pointias) 2-1…

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Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

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Q: Use integration to find the area of the triangular region having the given vertices. (0, 0), (8, 0),…

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Q: Problem 3. population of cattle is increasing at a rate of 600 + 40 t per year, where t is measured…

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Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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Q: dz. x + 2 Evaluate -1

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: Find the equilibrium point for a product D(a) = 50 4x and S(r) =15 + 5x Round only final answers to…

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Q: A ball is thrown vertically upward from the top of the house 110 ft high with an initial velocity of…

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Q: In(x² + 1)dx

A: We can solve the integration as below.

Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: घा 13) convergant or Divergant A) Each tem is less Ehan that of a converget Bach tem is less Anon…

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Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x) =x* – 2x -…

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