dy For each of the following functions determine dr

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: The given curves area; y=x3, x=0, y=27   So, the bounded region is as shown below. Apply the…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the magnitude Iv|| and the direction angle 0 for the given vector v. v= - 7i+ 10j ... (Round to…

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: Find the exact area under the curve between the indicated values of x. y = between x = 1 and x = 4…

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Q: n" is convergent. (2n)! Show that the series > n=1

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: Find My for a triangle whose vertices are located at (0,0), (1,0), (1,1) if the density of the…

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Q: 5xdx 3. Find the integral (x-1)3 -5 5 а. 2(x-1)2 + C x-1 -5 b. 2(x-1)2 + C x-1 c. In (7DE) – in () +…

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Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: To earn an A in a course, a boy must have a final average of at least 84%. On the first four…

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Q: f(9(x)) = 5 (x + 4) 2 f(g(x)) = (2a² + 3x – 5)7 f(g(x)) = (3x – 1)25 1. - 3.

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

Q: Evaluate the integral / (12x + 18y)dx + (12x – y)dy along the paraboli - arc y = x² from (0,0) to…

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Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: 2. Evaluate f'(5) for y = v2x² – 1

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Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: 1. Find the equation of the normal line at a given point. y = - @ (5,1)

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Q: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: e the initial value problems with initial conditions y' = y – 1 @ yo = 0 b. у %3D et- 1 а. у%3 у?— 1…

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

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(1) = i – 26j + %3D (a) r(t) 3ti- 2j + 2 k (b)…

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Q: 26. At 2:00PM. The temperature of a tank of water is 200°F. at 2:30PM its temperature is 160 °F.…

A: Given: Temperature of water T∘=200°F at 2:00PM             Temperature of water  T=160°F at 2:30PM…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: ction f has the following graph: -1 4. of the following is an infinite limit? m f(r) +0+ f(x) m f(z)…

A: Topic:- limit calculus

Q: d 10.(4* tan x) dx

A: Find the derivative

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

A: We will do partial differentiation to find maximum or minimum point

Q: Without evaluating the constants, the partial fraction decomposition of 7x3 – 11 (4x3 + 7x2 +…

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Q: How many arbitrary constants will be there n the general solution of a second order differential…

A: The number of arbitrary constants in the general solution of a differential equation is equal to the…

Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: 3.5n 7n+1 n=1

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Q: If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x…

A: Given query is to find the equation of the tangent.

Q: 22-1+9 22+5x2-3z

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Q: Exercises Distinct Real Roots of Auxiliary Equation Find the general solution 5. (D² – 1)y = 0

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Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

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Q: 5. Evaluate the indefinite integral sin2x 1+ cos?x

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Q: Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat…

A: Solved below

Q: Please

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Q: Find r'(t), r"(t), r'(t) - r"(t), and r'(t) x r"(t). r(t) = 2t2i – 3tj + t3k (a) r'(t) (b) r"(t) (c)…

A: To find r'(t), r"(t), r'(t).r"(t), r'(t)×r"(t).

Q: A function f has the following graph: 4- 3 2 -1 0. 2 3 5 7 9 -1- Which of the following is true? O…

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Q: 3x. If sales are increasing ompany's revenue from selling a units of an item is given as R = he rate…

A: Given query is to find rate of change of revenue.

Q: Which among the choices is NOT true about the continuity of f(x)? x2 -4x-5 if x + 5 f(x) = 2x–10 3,…

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Q: Use the formula «(t) ||r'(t) × r"(t)|| to find «(t). r(t) = e12i + e-j K(t) = %3D

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Q: Since y"|? v0 at x = -1/2 e we have a relative minimum at the point (c, f(c)). Substitute c = 5e¬1/2…

A: Solve it

Q: Find the volurne of the solid generated by revolving the region about the given line. The region…

A: Explained below

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: Describe the graph of the equation. r = (5 – 21) i + 71j O It is a line in 2-space through the point…

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: xdx 1. Find the integral (x+2)3 a. -l +c b. l x+1 а. L(x+2)²! x+1 + C L(x+2)2] x+1 + C |(x+2)3_ с.…

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Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

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Q: Find the derivative ofe 11. D[(4x – 5)']

A: Given query is to find the derivative of thw expression.