Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by this integral. 10 S S" S* dz dy da

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A: The Maclaurin series of ex is: ex=1+x+x22!+x33!+x44!+...

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Q: 1. f(x) = 4x + 7 3. f(x) = 2x -r + 5x %3D

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Q: Find the antiderivative of the function f(x) = 8x³ – 18x2 + 14x - 4 that satisfies f(0) = 0. ANSWER:…

A: Given the query is to find the antiderivative.

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

Q: (а) (5х* - 4x? +5)dk (b) S(2x+1)(3x – 7)dx

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A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

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Q: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

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Q: Which one of the following accurately describes the set {(r, 0, 2) |r = 5 } %3D in cylindrical…

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium x=3. %3D O $2 O $ 27 $9 $ 18

A: Given problem:- Let S (x)=x2 Find the producer surplus at the equilibrium xE = 3

Q: Find the following limit. 2 - 4t – 5 5. cos(t) : lim

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: Consider

Q: Question 1 Determine whether the integral is improper 5 (x– 4) -Idr Not improper

A: Solving

Q: 26. Let g be the function defined by g(x) = |. +7 - 2--61 dt. On which of the following intervals ie…

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Q: Find the curvature of the curve defined by F(t) = e"i + 4tj K = Evaluate the curvature at the point…

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Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

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Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

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

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Q: Select the conic section represented by the equation. y 2 = 3x line ellipse hyperbola circle point…

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Q: So r dr do

A: Follow the procedure given below.

Q: Evaluate R(r+ y)dA, where R is the region bounded by y = r,y = r and y = V4 - 2. Lütfen birini…

A: In the given question we have to provide the double integration Using the formula,…

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Q: Answer the following questions; 1. A student writes that if the right and left limits of a function…

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Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: (a) y = x° arctan(e")

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

Q: If f(x) : = 4 In(x² + x + 1), at what value of X is f' (x) = 4? O a) -1 O b) 2 O c) o d) None of…

A: This question can be solved using the concept of differentiation of function of function.

Q: Find the following limit. 2- 4t – 5 lim t - 5 t+5 answer =<

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Q: For each interval, choose the option that best describes the graph of f on that interval. from x=1…

A: We will use the given graph to solve this question. If the value of the function is increasing when…

Q: Scot(x)dx

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Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

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Q: Find the unit tangent vector to the curve defined by 7(t) = (4 cos(t), 4 sin(t), 5 sin°(t)) %3D 37…

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Q: 5. (5 + j2)5+j2

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Q: Determine the area of the largest rectangle that can be fitted between the x-axis and the curve…

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Q: 5 1 dx 0* +5

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Q: Danielle is skiing along a circular ski trail that has a radius 3.5 km long. She starts at the…

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Q: Solve the following basic calculus problems: d а. cos x dx

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Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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Q: Jamie is skiing along a circular ski trail that has a radius of 2.6 km. She starts at the 3-o'clock…

A: Given that Jamie is skiing along a circular ski trail that has a radius of 2.6 km. She starts at the…

Q: Question Find dy and evaluate when x = -2 and dx = 0.5 for the function y = 10 sin (9x). %3D (Enter…

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Q: Consider the indefinite integral cos" (6t) sin(6t) dt. The most appropriate substitution to simplify…

A: To find the given indefinite integral.

Q: (a) Express du / ax, du/ ay, and du / az as functions of x, y, and z both by using the chain rule…

A: Solving

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Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Please see the explanation below and appreciate my efforts.

Q: 12(x2 + y²) and above the The volume of the solid under the surface z = region 22 + y 0, is a) None…

A: Given problem:- The volume of the solid under the surface z = 12(x2 + y2)and above the region x2 +…

Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: Question Use the fourth Taylor polynomial for f(x) = cos (x) at x = T to estimate cos (1+7). Round…

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Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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