Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0

Q: The integral of x-Inx with respect to x is,

A: Given,             The integral of x2lnx with respect to x.

Q: a) dt 9 =dx xVln x b)

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Q: 2udu = 3 u? – (u²)?

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Q: B. Use the figure at the right. 1. [- 5, - 3) 2. [- 4, - 2] 3. [-1, 2] 4. (3, 5] 5. [1, 4] 4. 3- 2- ...

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Q: Using an appropriate substitution, cos x-sin x the integral dx equals: 2 cos x+sin x -1 none of them

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Q: A potato is launched vertically upward with an initial velocity of 119 ft/s from a potato gun at the...

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Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: Consider the function fix) sin x. Complete the table below and sketch its graph. x011/6 11/2 5n/6 n7...

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Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

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Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

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Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

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Q: Te* sin( –4x)dx

A: Find your answer below 

Q: Evaluate the limits of the given functions by completing the table of values and its graph and fill ...

A: Let's find. 

Q: V1+x² -dx

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Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: х3+3x-4 x2 с 1 x² + 3 In x + 4x + C 3 A -x² + 3 In x – 4x + C 3 - 1 x² + 3 In x + 4x + C -x2 + 3 In ...

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Q: а. If lim f(x) and lim f(x) exist, then so does lim f(x). 2at For those who have trouble viewing the...

A: To determine whether the given statement is true or false

Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information. 

Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the abo...

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: An unknown radioactive element decays into non-radioactive substances. In 920 days the radioactivity...

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Q: Find the Jacobian of the transformation x = r cos θ, y = r sin θ.

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Q: Question 24 Find dy/dx if y = evx (A evx/2x B (c) ©e*//x D evx-2Vx

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Q: Find dy/dx by implicit differentiation. x + y6 = 60 dy/dx

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Q: B: Determine the center and radius of the following circle: 2+ y?-3x+10y-1=0

A: As we know that; The standard equation of the circle; x-h2+y-k2=r2 Where; center: h,kradius=r   Give...

Q: Prove that lim 1-cos t t-0 = 0 by completing the following the indicated process.

A: Given,            limt→01-costt=0To find : Prove the given limit by the given indicated process.

Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

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Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

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Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

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Q: (a) Let F = [cos (x), e-Y, e-2²], C: r = [2t, t², 3t], calculate the integral S. F(r) · dr based on ...

A: F=1x+x2y, -y3, C: r=t2, tn(x,y) from (0,0) to (1,1): 0≤t≤1r'(t)=2t, ntn-1F(t)=1t+t4tn, -t3n ∫C F(r)·...

Q: There are 6 periods in each class day in a school. How many ways can one organize 5 subjects such th...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: To find the unit vectors that satisfies the given conditions.

Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: cos² (x) sin (x) dx

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Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1 ...

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

Q: Question 7 of 15 View Policies Current Attempt in Progress Evaluate the integral given below. Check ...

A: ∫ [1/8t - 6et ]dt (ln(t))/8 - 6et  +c   now for check lets differentiate it 1/8t - 6et  so this is r...

Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: fcac) fCre)ニ2x+5

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Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

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

A: Given query is to find the volume of the solid generated.

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: If f(x) 4 cot r + 10, then find the value of f'(-7) is O 4 50 4 50 10 50 V50 7,

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Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that se...

A: We know sequence is convergent when limit of sequence is finite

Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

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Q: . A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount...

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Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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