The piecewise function f(x) is graphed below. Each grid mark is one unit. f(x) -X72 4 3 -2 1 2 p(x) = f(x²) 81- P'(₂ ) 2 x f(u) = f'(x) f'

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Q: Find the length of the curve if x (2t+3)², y=t+t²/2. 0≤t≤3. 3

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Q: Find the solution of the following differential equations. Show your solutions 3. (D³3+8)²y = 0

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Q: 3. Find the surface area of the torus described parametrically as r(u, v) =((2 + cosu) cos v, (2 +…

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Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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Q: L{e-²t cosh 3t}

A: Laplace transform of e-2tCosh(3t)

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Q: ᎾᏢ Ꮎp ( Ꮎ ) s00 f

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Q: The normal line at x = 1 of the curve y=x²+x+ where m = 2 and n = 3, interects the curve at a second…

A: The normal line at x=1 of the curve y=x2+mx+n, where m=2 and n=3, intersects the curve at asecond…

Q: Express the limit as a definite integral on the given interval. 2x;* + (x;*)² Ax, [1, 6] lim n→∞ dx

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Q: Find the Laplace transform of the given function by using integral definition. 1. f(t) = -3

A: Please see the below picture for detailed solution.

Q: Match the equation with its graph. x² + y² + z² 9 16 9 21 <|||| = 1 3

A: The given equation x29+y216+z29=1. We have to sketch the graph of the function.

Q: Find the solution of the following differential equations. Show your soluti 5. (4D³-4D2+ D-1)y=0

A: The given differential equation is: 4D3-4D2+D-1y=0   So, the auxiliary equation is: 4m3-4m2+m-1=0

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Q: Evaluate (6x +4√/y) ds where C is given in the accompanying figure. ...) 1- (0,0) y=x (1,1) y=x² X Q…

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Q: Find: A) Rational function that is the opposite of the given function.

A: f(x) = -13x + 1 y = f(x) = 1-x3 The rational function that is the opposite of the given function =…

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Q: If  f(x) = x2 + 2x + 1   then f(-1) =

A: Given, f(x)= x2+2x+1

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A: Let Radius = r Area = A As we know that A = π( r )2 drdt = -12π

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Q: 3. Use an addition or subtraction formula to find the exact value of cos 250° cos 40° + sin 250° sin…

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Q: You are given the following information. Function: f(x) = -4x² + 5 Point: (1, 1) (a) Find a unit…

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Q: Given the series 1 1 - - 1 3 > Next Question + 1 9 - Does this series converge or diverge? O…

A: We will find the required.

Q: Consider the following functions. f(x) = 4x + 7, g(x) = 5x - 1 Find (fog)(x). Find the domain of…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Evaluate. Assume u> 0 when In u appears. 10) f(x5-2x4)4 (5x4-8x³) dx

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Q: 3x ſ¹ S³* S*** ( 3x + 4y − 5z) dy dz dx - -2x x-z

A: The given integral is  ∫01∫-2x3x∫x-zx+z3x+4y-5zdy dz dx

Q: The value of this limit is We this to find the equation of the largent line to the parabela y + 3y²…

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Q: Prove the statement using the c, & definition of a limit. Given > 0, we need 8 ---Select-- such that…

A: see below the answer and calculation

Q: z Find the Taylor polynomial på for f(x) = xe at z = 2.

A: we have to find the taylor polynomial P3   for function f(x)=xe-x  at  x =2   f(x) = xe-x   ⇒f(2)=…

Q: მა Let w = f(x, y) with x=(r, s) and y= o(r, s). Then მr თ მ მე მუ მო მu_მე ?x 3r მuo მუ მე მთ მე Әх…

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Q: 1²2₂ f(x) dx where f(x) = 2 4x² if -2 ≤ x ≤0 if 0<x<2

A: We have to solve given Questions.

Q: - Do not use a calculator for this problem. Find the x-value where the relative maximum of y = e =…

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Q: Evaluate the following integral ffe D es da over the given region D, where D = {(x,y)|1 ≤ y ≤7,0 < x…

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Q: Pizza House offers 2 different salads, 3 different kinds of pizza, and 4 different desserts. How…

A: Please see the below picture for detailed solution.

Q: z = 8x² + 8y² + 18 nearest the plane 8y - 3x - 7z = 0.

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Q: You invest $49,010 in an account earning 5.26% APR, compounded daily. How much total interest is…

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Q: 7-30 Evaluate the indefinite integral. dt cos²t√√1 + tant co 0. fx √x + 2 dx 24. fc

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Q: Suppose sin theta 0, identify the quadrant(s) of the graph?

A: Given that sin θ &lt; 0 and tan θ &gt; 0

Q: dy dx - y = ex ; y(0) = −2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Given values for x and z to be -12 and 2, evaluate the following ordered triples to determine the…

A: Given system of equation 2x - 4y - 3z = -2 y = x3 - 3 -2x + 2y -4z = 2

Q: Problem 3:Linear Equation xdy - 2ydx = (x - 2)e* dx

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Q: n²cos (1/1) 2n² + 1

A: Given query is to find the series converges or diverges.

Q: { 2. L-¹ 6 (s+3) 2S-1 s° -2$

A: we have to evaluate L-16s+34-2s-1s2-2s   now   2s-1s2-2s=2s-1ss-2=121s+321s-2   then…

Q: Suppose that A. B. 0.5 food f(2t) dt = = 0.125 0.5 [ f(t) dt = 11. Calculate each of the following.…

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either New York, Michigan,…

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