Set up an integral that can be used to find the area of the shaded region. you just need to set it up, please don't find the actual area

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Q: Consider the following limit. lim n→∞ an 'n + 1 = 0 What can you conclude about the convergence or…

A: Ratio test states that for a given series ∑n=1∞ an  , let L = limx→a |an+1an| If L<1, then the…

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Q: For the subset "The set of points on the line given by x+2y=0" verify whether it is a sub space of…

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Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

A: Since part a,b,c are already answered correctly, i solved part d

Q: Consider f(x) = (x + c cx² +5 for x < 3, for x ≥ 3 For what value of the constant c is f continuous…

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Q: If f(x)=∫x3−1t2dt then f'(x)=

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Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices…

A: The function of two variable is:Graph of the closed triangular region:

Q: 2. y" + xy = 0; y'(0) = 0, y' (π) = 0

A: As per our company guidelines we are supposed to solve the first question only. Please repost other

Q: At which of the five points shown on the graph is dy positive? Choose the best answer. dx M Y

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Q: 19. ExpressedA as an iterated integral over R in polar coordinates, where R is the region. inside r=…

A: I=∬Re−x2−y2dAR is the region inside r=1+sin⁡θUsing polar coordinates

Q: What is the slope of the line tangent to the graph of y = B 11 4 13 دن در 4 12 x+3 at x = 1 ?

A: The slope of a tangent line to the curve y=f(x) at x=a is given bym=f'(a)

Q: Convert the equation r= 10 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

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Q: About 1 in 1,100 people have IQs over 150. If a subject receives a score of greater than specified…

A: About 1 in 1,100 people have IQs over 150. If a subject receives a score of greater than some…

Q: X f'(x) 0 4 1 3.5 2 2 3 0.8 4 1.7 5 5.8 6 7 4. The function f satisfies f(0) = 20. The first…

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Q: Evaluate the definite integral. 6.² sin (4t)dt

A: Let assume,

Q: дz дz Given z = ex²y, x = u³v, y = u2 + v², find and ди ду

A: Given , to find .

Q: Which of the following is an antiderivative of f (x) = tan (e²+ ) on 0 ≤ x ≤ ln ( 7 ) ? A B D sec²…

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Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

A: Given

Q: Express the function f(x) = Cos (3x) as a 6th degree polynomial centered at x = 0. Hint use the…

A: The objective of this question is to express the function f(x) = Cos(3x) as a 6th degree polynomial…

Q: Find the extreme values of the function f(z,y) = 2z² + 3y² on the circle z²+²=4 Use Lagrange…

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Q: onsider the curve of intersection denoted as C, formed by the cylinder x^2 + y^2 = 4 and the ane x +…

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Q: [s sin x cos x esin²x+dx = A B C D - sin x cos x esin²x+ esin²+ + C 1/2 (sin ²x + 7) + C e -…

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Q: Determine all inflection points. f(x) = 8e-9x² , X20 Identify the coordinates of any inflection…

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Q: (3) Find the parcometric equations of line through the point P(1₁-1,5) and parallel to the line √x=…

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Q: dentify the definite integral that represents the area of the surface formed by revolving the graph…

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Q: Approximate the definite integral using the right hand sum with n=3 (three subdivisions) 5 -1 x² dx

A: To approximate the following definite integral by using the right hand sum with  (three…

Q: Find the arclingth of A) r(6) = 4cos (0) OS OS T ... B) / X (²) = +²+1 2 y(t) = 2³² +2 1≤t≤ 3

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Q: 7. Find the absolute maximum and absolute minimum of the function on the interval. (Do not use your…

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Q: x4 x²+x-6 S dx

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Q: Given: (x is number of items) Demand function: d(x) = 100-0.5x Supply function: s(x) = 0.3x Find the…

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Q: You have been provided with the following function: 3 f(x, y) = x³ − 3x + 3xy² a) Check that the…

A: f(x,y)=x3

Q: Identify the definite integral that represents the arc length of the curve y = 1/x over the interval…

A: Here we have to set up integral which gives the arc length of the function.I have appended the…

Q: 29) Evaluate the limit, if it exists. If it does not exist enter DNE. cos (x) lim x-(1/2) + 1-sin(x)

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Q: Match the correct boxes lim, 3-f(x) = 4 and lim+3+ f (x) = 4 lim-3- f (x) = 2 and lim,+3+ f (x) = 4…

A: We have to match the given boxes based on the concept of limit

Q: sin 4x lim x-0 2x A. -2 is B. 0 C. 2 D. D. co

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Q: The graph of the function g on the closed interval [0, 9] consists of four line segments, as shown…

A: The graph of the function g is shown as,Let,f be the function defined by

Q: If (x+1) replaces x , and (y+2) replaces y , describe the effect on the graph of y=f(x)   A) Stays…

A: Given that (x+1) replaces x , and (y+2) replaces y

Q: A company has marginal revenue function MR= -0.4x +35. a) Find the total revenue function. R(x) = b)…

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Q: 26) Evaluate the limit, if it exists. If it does not exist enter DNE. lim (√9x²+x-3 x - 3x) x →∞0

A: We solve the given problem using the concept of limits.

Q: 4) Decide whether the following sequences converge or diverge and why a) {1, 0, 1, 0, 1,....}

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Which of the following functions f: R → R is continuous at the point 0 € R? f(x) = x² = f(x): = {22²…

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Q: 27. Use spherical coordinates to find the volume of the solid cardioid of revolution D = {(p, 0,0):…

A: Solid is bounded by D={(ρ,ϕ,θ):0≤ρ≤(1−cos⁡ϕ)/2,0≤ϕ≤π,0≤θ≤2π}Using spherical…

Q: For the curve given by r(t) = (9 sin(t), -2t, -9 cos(t)), Find the unit tangent T(t) = (000) Find…

A: For the curve given by , to find the unit tangent vector, unit normal vector, and the curvature.

Q: Find the vertex and focus of the parabola 5 - x = y² + 3y.

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Q: The figure below shows the graph of f. Use the figure to answer lim f is x--6+* A. 1 D. no limit 22…

A: We have to find the limit of piecewise function from the given graph

Q: -4 2 1² 1² y sin(x³) dx dy

A: To evaluate the following double integral.

Q: Assume a function is F(x)=√x, and assume f'(x) = 2x Find the equation for the tangent line at x = 9…

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Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is .The objectives are to calculate the points where the tangent lines are…