" cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos Ssn(...

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Q: g(x) = 190 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer in interval notation.) F...

A: Given g(x)=190+8x^3+x^4

Q: A robot moves in the positive direction along a straight line so that after  minutes its distance is...

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Q: show complete solution and the sketch of the graph. Solve for the volume of the solid generated by r...

A: V=integration of π(√x) 2 and using limit 4 to 9 .

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =  x...

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Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D...

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Q: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: A rumor begins to spread in a population of 10,000 inhabitants thanks to the fact that a member of t...

A: The number of inhabitants in a  village =10000initial time, t=0 weekPopulation who heard the rumor a...

Q: Evaluate the Integral tanh (u) du

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Q: 4 Vva – 1dx 2

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Q: A rectangular box is to be made from a square piece of cardboard of side length 10 inches by cutting...

A: We need to determine dimension of box.

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: 11) Find [ f (x) g(x)]' =. A) [(1/x) – (In x) tan x] /sec x by Product Rule. 11) B) [(1/x) + (In x) ...

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Q: A potato is launched vertically upward with an initial velocity of 111 ft/s from a potato gun at the...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: tan¬'(5x) y = V(4x – 3x°)³ xª

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Q: _12. x siny - y sin x = 0 _13. x cos y +y cos x = 0 14. tan?y – 2 tan y +1 =x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: cor-126 dp. Evaluate: A) B cot-128+ –In 1+462 + C 8. B B cot-12B –-In 1+462| + C 4 C B cot-12B-–In 1...

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Q: Perform the Integrations sin(r)dt

A: To Find : ∫sin(t)dt

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

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Q: Determine whether the series converges. k=1 The series

A: The given series,       ∑k=1∞k4e-k5

Q: equation tangent the graph of Lion at Answer = (x)- se the tangent line to approximate f(1.1). -(1.1...

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Q: Find the length of the arc of the curve having the parametric equations x = t³3 and y = from t = 0 t...

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Q: y = 1.

A: answer of given question is in step 2

Q: Evaluate the integral S 2x (x² + 6)*“ dx using the substitution 16 u = x2 + 6. 16 2x (x² + 6) “ dx +...

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Q: Use finite approximations to estimate the area under the graph of the function f (X) = x³ between x ...

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Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S - (a+...

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Q: In (x + 3* V-1) Differentiate: h(x) %3D Differentiate g(x) = 3x+2 Use logarithmic differentiation to...

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt...

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Q: dx Perform the Integrations 1+ sin x+ cos x

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Q: x2 – 1 dx 9х3 — х

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Q: fx*In xdx 34

A: The objective is to evaluate the integration.

Q: Find the most general antiderivative. dy A В c) 8 +C D

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Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

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Q: Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of ...

A: Please see the answer below.

Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: Find the integral. S(-x8+ 4)6x7 dx (A -56(-x8 + 4)+C 8 1 (-x8 + 4)7+C 56 D

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Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

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Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the...

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.  

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of...

Q: Solve the following incqualities |1 +1> 2

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Q: Find x1 2 tan-(x)+ x/ (1 + x2)] dx = %3D A) x2 /(1 + x2) + c C) x? tan - 1(x) +C B) – 2 x In (tan x)...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: dt 10 A 3 +t+c B) 128+금2. 8t + - t2 D +C + 20

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Q: Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1.. + ... ...

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Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Use implicit differentiation to find dy/dx: 620+y + eª arcsin y = In(y³) +x – 3 cot(x³ + y

A: We will find the implicit differentiation. 

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: SOLVE USING: TECHNIQUES OF INTEGRATION: TRANSFORMATION BY TRIGONOMETRIC OR IDENTITIES AND INTEGRATIO...

A: First we let x=3/4y then put tanx=t then using t7 =t5 (t2 +1) -t3 (t2 +1) +t(t2 +1) -t