State the trigonometric substitution you would use to find the indefinite int 2)-6 dx x(0)

Q: Find the indefinite integral using the substitution x = 8 sin 0. (Remember to use absolute values V6...

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Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: Find the integral. S 12:3 k dx x9/2 + C B x9/2 + C x9/2 + C 24 x9/2 + C A,

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Q: (3x² + 1 +) dx 2х2

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Q: Integrate Intergrate 21x/ with recpect to X mtegrate X- 28 with respect to X

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Q: Perform the Integrations y cos 4y dy . Use the editor to format your answer

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Q: Explore the effects of an elementary row operation on the determinant of a matrix. State the row ope...

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Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo_and then find the nth Taylo...

A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k

Q: xy = 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being to it...

A: We will find the remains after 80 years in percentage. 

Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

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Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

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Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: Find the area between the curves y = x² + 1 and y = x + 1.

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Q: 7/3 x tan (x) dx 2

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Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

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Q: Write the function whose graph is the graph of y = x, but is horizontally stretched by a factor of 7...

A: The given function is f(x)=xAfter horizontal stretch by a factor of 7f(x7)=x7

Q: Which of the following vectors are equal to (2, 2/2, -2)? Check all that applies. vector with magnit...

A: We have to find equivalent vector.

Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: b. 2 sin? x+3 sin x = -1

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Q: Find the most general antiderivative. A B D

A: Let's find. 

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

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Q: Question 24 Evaluate the integral. 23x dx A 23x + C B) There is no correct answer from the given cho...

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Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: Centre at (h, k) 1. Find the equation of the ellipse with center at the origin, foci at (-3,0),(3,0)...

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Q: +C

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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: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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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: Evaluate the following integral 5 – 2x (c) dx 2/3x – x²

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Q: Question 6 Let Fx) be an antiderivative of fux), with F(O) = 50 and J, f(x) dx = 12. what is F(5) = ...

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 5"...

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

Q: 3. What is the equivalent angle in degrees is Northwest? 135 deg 150 deg 115 deg 125 deg 4. How do y...

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Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: Decide whether the integral is improper. ** sin(x) dx 60 + x2 -00 O proper O improper Explain your r...

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Q: Provide an appropriate response. Is 4x(4x+ 1)3 dx <2(4x+1)4+C? A) No Yes B.

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Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular coor...

A: A)(x,y)=(3,4)r=x2+y2r=32+42r=25r=5θ=tan-1yxθ=tan-1(43)θ=53.13°B)(x,y)=(6,-8)r=x2+y2r=62+(-8)2r=100r=...

Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R(x...

A: Given that the marginal revenue of Porter Airlines is R'(x)=0.96-0.0064x -(i)where x is the average ...

Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (14, 1, 2) 6 scalar projecti...

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Q: The number of bacteria in a culture is growing at a rate of 2500e2/5 per unit time t. Find the numbe...

A: Given db/dt= 2500 e^(2t/5)

Q: Consider f(x) = 6.5x^5 - 3.7x^3 + 7x - 1.6. Using the given function, approximate f(2) by making use...

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Q: Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos...

A: The given relationship,     sinA cosB-cosA sinB=0.133599

Q: Read and answer the given question below. Use a separate paper for your answers. sx+3, x>3 - 3, x<3'...

A: Given: fx=x+3, x≥3x2-3, x≤3 To evaluate: limx→3fx

Q: Find the area of the shaded region. y 2 x = y -9 y= 1 /x= e -10 -8 -6 -4 -2 2 4 Hy = -1 -2

A: To find the area of the given region.

Q: (x² – 1)*dx

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Q: y = 1.

A: answer of given question is in step 2