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Q: `y³e-2¥ dy

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy -2

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Q: SOLVE THE TRIGONOMETRIC EQUATION a. V3cosxcscx = 2cosx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the length of the arc of the curve having the parametric equations x = from t = 0 to t = 1. t a...

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Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and ...

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2            ...

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: 1) An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that i...

A: Here, the top surface of the triangle plate is 2m  below the free surface of the water. Therefore, ...

Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: Question 6 * (4x – 1) dx (2x + 1)½ Perform the Integrations Use the editor to format your answer

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v ort...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given data and correct graph÷

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: ∫ xcos4xdx u =x          dv = cos4xdx ∫u*dv = uv - ∫ vdu so for v integrate dv ∫dv =v = (sin4x)/4 ∫...

Q: Let fit)=F(t), where F(1) = 412- 5r+5t_ Evaluate the following integral using the Fundamental Theore...

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Q: Sycos ydy

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x...

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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

A: (a) False Consider the gradient vector at (-2,2) Given: ∇f(-2,2) = -4i + 3j This is false because at...

Q: For the Limits of Logarithmic Function, we should consider that limx→a ln g(x) = ln g(a) where g(a)...

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Q: x+4 dx Vx 6. 7. 4Vx + 2xVxdx 8. (x2 – 1)*dx

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

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: 6.) Find the derivative of the following functions a.) f(x)=- 7-3х |t +1 b.) f(x)=. -1 c.) f(x)= ean...

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Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

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Q: tan¬'(5x) y = V(4x – 3x°)³ xª

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Q: NTEGRATE THE FOLLOWING (use integration techniques) - S sin rsin4rdx

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Q: dy/dx = sec ?xsec³y

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Solve the following inequalities |x - 1| < |x - 2|

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Q: x'dx 1. Integration by Parts f Vx4-5 dx 2. Algebraic Substitution f (x+2)vx+1 3. Trigonometric Subst...

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Q: Amy raises ducks, and she takes their eggs to the farmers' market to sell. Today she collected 19 do...

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Q: 4 dx 1– cos(4x)

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Q: Find the integral. In 8x dx

A: I=∫ ln 8xx dxln 8x =t18x(8) dx = dtdxx =dt

Q: c) Solve the given system of equations using inverse of matrix 3x + 8y = 5 4x + 11y = 7 d) Find the ...

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Q: Find the slope of f (x) =e8x-10 at x-1.

A: The function is given by fx = e8x-10 The point is  x = x0 = 1 Formula: The formula to evaluate the s...

Q: (3x² + 1 +) dx 2х2

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Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A) -2X/(...

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

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe 401x dx ...

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Q: 2х dx 1. "I x- 2)²(x + 2)

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Q: 19) Find [sin( x9+ 9x) ]' = _by Chain Rule A) 9x8sin ( x9+ 9x) C) 9(x8+1) cos x 19) B) -9 x sin ( x9...

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Q: 1/V3 dx 1+4x2

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

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Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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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: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

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Q: Complete the sentence the below. If the point (4, - 1) is a point on the graph of f then f(-)= If th...

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Q: Evaluate the sums. а. 4 k=1 7 b. -2k k=1 7 > k(2k + 1) с. k=1

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

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Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= c. OT= 2x + 2 3x 5х — 10 L ...

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Q: COS ydy

A: We have to calculate the given indefinite integral

Q: Solve the following incqualities -21 < 4

A: To Solve : Inequality : 1x-2&lt;4

Q: cot5 z csc³ zdz z csc

A: Given :∫cot5z csc3z dz

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as a...

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