Graph the function and find its average value over the given interval. f(x) = x + 2 on [0,2]

Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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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: Find the indefinite integral and check the result by differentiation. S f (x) dx, where f (x) =(/¤-…

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Q: -2 a 3. 22 9. 6 3 7.

A: Given that,-2ab337=229

Q: 1- P is equal : a) 1 b) 120 c) 5 2- C is equal : a) 455 b) 544 c) 4542.

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Q: Jestion rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Given the query is to find the dimensions of the garden.

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

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Q: Use Newton's method to approximate the solution to the equation 4 = x+ 2. Use xo = -1 as your…

A: This question can be solved using the concept of methods of approximation of roots.

Q: che unit sphere does the following in

A: We have to choose the correct option from the given options according to the given information

Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

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Q: Let g be a function with derivative given by x2 - 2x - 8 g'(x) = V2x³ +5 - 1<x <5 %3D . At which…

A: Occours

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

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Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: Solve the equation: 3(-4 + 4X) = 1/27. Round your answer to 2 decimal place.

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Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

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Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: acceleration due to gravity.) x(t) = ft

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Q: stead of f(x)). E

A: answer is in next step

Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: hi

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

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

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Q: c) y' = 3y + e* A. y = e3* – e/2x C. y = 2e³x – c²"/x B. y = ex – c/2 D. None of these d) y' = cos x…

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Q: Evaluate: S Vx(x – 5)dx

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Q: Find the Me a of the Jhaded) reylan 9=x-2 2. 2. 4 5 3. 2.

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Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

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

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Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: aluate the indefinite integral. (Use C for the constant of integration.) (x+11)V 22x + x² dx Need…

A: Given query is to find the integral.

Q: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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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: 2) Classify each of the polar graphs as line, circle, cardioid, limaçon, lemniscate, rose, or…

A: 1) First curve is Archimedes Curve. 2) Second curve is a Lemniscate. 3) Third curve is a Limacon.

Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: 639 * The degree of the polynomial graphed above is Select an answer v Select an answer

A: Degree is the largest exponent of variable.

Q: 5-10 Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates. 5.…

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

Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: There is a line through the origin that divides the region bounded by the parabola y 7z 5x and the x…

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Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: The equation y2(y² – 4) = x²(x² - 5) is known as the devil's curve. Give an equation for the tangent…

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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: e 2x dx /1 — ех

A: Let's find.

Q: a. Prove that (A'B*)-1= (A-B-1)* and B are 3 x 3 matrices and %3D b. If |A| = 4 |B|= -1 compute…

A: I have used the property of  transpose and inverse of product of two matrices and then show the…

Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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