STJ (x (x + sin x) dx Jo

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A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

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A: we have f(t) =4(t+1)2 =4(t2+2t+1)

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Q: (a) Find S 1+ (x + 2)² dx and 1+ (x + 2)² dx.

A: Concept: Integration: The summing of Discrete Data is indicated by Integration. To determine the…

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A: You must have idea how to find distance under v-t curve.

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A: The given set,     S=1,2,3,4, 1,0,1,2,3,8,11,14

Q: 4. √ (4x²–5x+6) dx

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A: The given problem is solved below in detail.

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A: pythagoras theorem = H2= B2 + S2 WHERE H= HYPOTENUSE B=BASE S =SIDE

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Q: Find the following for the given equation. r(t) = e−t, 8t2, 3 tan(t)   (c)  Find r'(t) · r''(t).

A: Find the following for the given equation. r(t) =< e−t, 8t2, 3 tan(t) >   (c)  Find r'(t) ·…

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A: The amount of time in seconds, t, it takes for a bungee jumper to freefall is given by the function…

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

A: I am attaching image so that you understand each and every step.

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Q: 6. The acceleration of the position function s(t) = 4t² - 8t + 2 when t = 7. a) 7 b) 48 c) 142 d) 8

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Q: 3. Translation: (x,y) → (x-6, y + 4) 5 -5 -5 Y C B X D 5

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

Q: 38. A rectangle is inscribed in a semicircle with diameter 10 centimeters as shown. Express the area…

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A: Here we have to find the volume.

Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

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Q: Evaluate the integral. Select the correct answer. 1 15 cos ²6 x - = cos 6x + C cos³6 6x- 18 O…

A: Given :∫sin36xdx

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Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

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Q: Determine whether the series is convergent or divergent. 00 Σ M = 3 n-0.9999

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Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: 67. Suppose sin x = - 120 (A) 169 120 (D) - 169 5 13' where * terminates in Quadrant III. Find…

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Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

Q: 8. Solve the differential equation: d'y 3: dx² -4+y=0 dx

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