Find the centroid of the solid generated by revolving about the indicated axis the area bounded by the given curves. y²=x, y=3, x=0; about the y-axis

Q: Find the limit. lim ---X +4 Step 1 1 x+ 4 as x approaches -4 from the left. Note that we cannot…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (9e' cos…

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Q: Maximum Volume Consider the following solids, each of which has a surface area of 150 square inches.…

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Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

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Q: Construct a table and find the indicated limit. Vx +2 If h(x)= x-8 then find lim h(x). x-8 Complete…

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: sin(4z) 7. lim I-0

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Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

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Q: 14. xdx + sin? () [ydx – xdy] = 0 %3D

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Q: Describe the long run behavior of f(t) = 5t° – 5t% – 2t + 4 - - As t → 0, f(t) → ? v As t → 0, f(t)…

A: If degree of the polynomial f(x) is odd and leading coefficient is positive , then…

Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = r? + y (x, y) # (1, –1) x + y is not…

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Q: Find dy/dx if y = log10(x² + 1)² D. dy/dx = log1o e (x² + A. dy/dx = 4x(x² + 1) 2x log10 e В. dy/dx…

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Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: 2+Secx-

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Q: Let -1 <a < 1, the series r na" is the power series representation of the n-1 function Select one:…

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Q: 12. Find the maximum and minimum values of each function. Graph each function. а. у %3D е* + 2 b. у…

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

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Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy° + xy = 16 at…

A: The given curve xy3+xy = 16  . We have to find tangent line to the curve at the point 8, 1. Let the…

Q: dy without first solving for y. dx e implicit differentiation to find ² + 3x + xy = 100 the given…

A: Topic:-  application of derivatives

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: Solve the initial value problem for r as a vector function of t. d²r = - 40k dt? Differential…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

A: We can find the limit of the function. Firstly make factor in numerator and denominator and solve .…

Q: Find the Taylor polynomials P,,P,, P2, P3, and P, for f(x) = ln(x³) centered at c = 1.

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

Q: Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the…

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Q: For the given polynomial o find the maximum possible umbers of the positive and the negative root o…

A: Roots

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: Find the Taylor series of  f(x)=ln(2+x) around the point x=-1 by reaching the term n=4

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

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Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: 2. lim 3X - 2*

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Q: Solve cos (w) - 6 sin(w) for all solutions 0 < w < 27 %3D w = Give your answers accurate to 2…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is ∫x(9-7x2)5 dx

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: 4. Find the volume of revolution generated by revolving the region between f(x) = 9-3x and f(x) =…

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Q: x-3 dx r³+9x +9.x

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Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

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Q: Find the area of the shaded region below. x = y? – 4y (-3, 3)

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Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct