Find the coordinates of the centroid of the solid generated when region bounded by x? + y? – 4y = 0 and y = 4 - x is revolved about y = 0.

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: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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

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

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Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8 1...

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Q: Question 5 Evaluate the double integral over the given region. 8x sin xy dA, R:0 sx <T, 0 <y s1 7C 8...

A: Given that, The integral is following, ∫∫R8xsinxy dA R : 0≤x≤π, 0≤y≤1 We have to find the value of t...

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(4x+24)+1.1   E...

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

A: Given query is to find the revenue function.

Q: xy = 2

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

Q: Find the total area between y = x'/3. - x and the x - axis for -1 sIs8.

A: Follow next step

Q: Consider the following. f(x) = x3 - 27x + 4 (a) Find the intervals on which f is increasing or decre...

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Q: Eväluate the following. 1. ſ csc?dx 5

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Q: Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x + ...

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Q: Find (algebraically) the absolute maximum and minimum values of f(x) = cos² x+ sin 2x on [0, 5), if ...

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Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots Subm...

A: We will solve the integral. 

Q: A V1-Vy dy •1 y 4

A:     ∫1411-yydyLet u=1-y.=∫120-2udu=-∫012-2udu=--2·∫012udu=--223u32012=2·132=23

Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

Q: Homework Content Question 1 Write an equivalent double integral with the order of integration revers...

A: Given: ∫08∫0xdydx

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per second...

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Q: dx || +C

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Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of...

A: To solve the initial value problem.

Q: Evaluate: ,(3y + 8y*-9y?)dy + 8y* – 9y?)dy 4

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

Q: Match the integral expression on the left to an equal expression on the right.

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Q: y³e-2y dy

A: Given :∫y3e-2ydy

Q: 1. sin

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Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: Use the shell method to find the volume of the solid of revolution generated by revolving the region...

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Q: The function is not one-to-ane. Delete part of the domnin so that the function that remains is ane-t...

A: solution:-f(x)=x-32for x≥3, f(x)≥0y=f(x)=x-32y=x-3x=y+3hencef-1(y)=y+3,  y≥0  

Q: equation of the swer in the form z = ax + by +c.) esgnal

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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: parachutist jumps out of a plane.  Her height, in metres, above the ground after t seconds is given ...

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Q: y = 1.

A: answer of given question is in step 2

Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: 1 Evaluate lim (csc x)*- 2 X→- 2

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 4 ...

A: We need to find surface area.

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: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Solve X1- 19 -4 11 -8 X1 -5 3 15 15 14 X2 10 19 -9 6 9 -9 X3 -10 18 -3 17 8 X4 18 20 6 15 X5 14 9,

A: Solution: Reduce matrix to row echelon form  19-411-802-531515141019-969-9-1018-3317818209661514

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: 9 dx dy y² 0. 2

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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: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

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: 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: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

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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