QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

Q: Evaluate the definite integral. NOTE: Enter the exact answer. S||ti + 1²j|| dt = |

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Q: Find the area of the region lying to the right of x = y² + 13y + 14 and to the left of x = 5y + 2.…

A: Area bounded by the curves :  If f(y) and g(y) are two continuous function on a,b and f(y) ≥g(y) on…

Q: 7. Find the partial fraction decompositions of the following rational expressions. a) b) (x²+11x) dx…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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Q: Find the following using the table below. x 1 2 3 4 4 2 f(x) 1 3 f'(x) 2 3 4 1 g(x) 13 4 2 g'(x) 2 4…

A: Chain Rule of differentiation : fgx' = f'gx .g'(x)

Q: 10 F [TOF If f(x) dx = 16 and 5 Isro f(x) dx 10 f(x) dx = 5, find the following. S

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Q: Let (3, 4) be a point on the terminal Find the exact values of cos 0, sec 0, cos ( = 0 sec 0 = 0 cot…

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Q: dy Given the equation below, find 21x + 2x¹¹y+y³ 24 dy da Now, find the equation of the tangent line…

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Q: xdx √9-4x²

A: Given,            ∫x29-4x2dx

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We need to find slant asymptote.

Q: Which of the following statements are TRUE? (Circle ALL that Apply) Optimization can mean…

A: Two multiple choices questions are given. These questions are from algebra and calculus. We have…

Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Explanation of the answer is as follows

Q: h. Average value of f on [-4,-1]

A: From graph  f(-4)=5f(-1)=7   formula for average value

Q: Find the work done by the force field F(x, y, z) = xyi+yzj+xz k on a particle that moves along the…

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Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

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Q: Let f (x) = x³ 3x². - Find the absolute minimum value of f(x) on the interval [1, 4].

A: We have to find the function value

Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: 6. Eva wants to fence two rectangular plots of land. Both plots must have the same dimensions and…

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Q: Find the length of the part of the curve y = = between x = 1 and x = 2.

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Q: 3 -7 [3] 7 -5 Let E= -2E= 0 Find -2E. 00 8 [000) 000 1000 [00] Undefined

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Q: Consider the following. (1, 1) 2 6 10 X 4 X=8 -4 y = 2-x -6 -8F (a) Form the integral that…

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Q: Find the exact area under the graph of f(x) = = and x = 2. Area = 1 x+1 between r=0

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Q: Find T(t) and N(t) at the given point. r(t) = (t² − 3)i+tj; t=3 T(3): N(3) = =

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Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: Use the One-to-One Property to solve the equation for x. 5x+1=25 x = 5 x = 1 x = 2 x = 4 x=3

A: given that  5x+1=25 Or 5x+1=52  On comparing  X+1=2  So x=1

Q: The weekly sales of Honolulu Red Oranges is given by q = 980-10p. Calculate the price elasticity of…

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Q: Let f(x)= x+1 1³ - 2x² + 1

A: Solving the problem by finding the fraction from the expression.

Q: 17. r=3sin 40

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Q: Evaluate the function at the indicated value of x. Round your result to three decimal places.…

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Q: x²+4x+10 x3+2x²+5x dx

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Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: Find an equation for the tangent line to the curve parametrized by x = e³t sin(πt) and y = et at the…

A: answer is in next step

Q: ∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

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Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 45 +…

A: Solution of given question is written in below steps.

Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

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Q: A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: -8 27 -6 -5 -4 -3 -2 ਆਰਡਰ 41 3 1 -2 -3 The curve above is the graph of a sinusoidal function. It…

A: Given query is to find the graph of the function.

Q: ∫ sin4x dx

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Q: T: P2 P₂ defined by T(a + bx + cx2) = a + b(x + 8) + b(x + 8)² Find the following images of the…

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Q: Solve the following equations: a) 8d²y-dy 6 +y = 2x + 40 sin x dx² dx

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

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Q: Find the k-component of (curl F) for the following vector field on the plane F=(x+y)i + (8xy)j

A: Solution: F=(x+y)i + (8xy)j       P             Q k-component

Q: f(x) = e²x cos(x) e2

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Q: sec7(t) tan(t) dt Evaluate the following integral using substitution rule or integration by…

A: We have to find the solutions