Use the graph to evaluate the limit. lim f(x) 0+x -B 6 30 2 R X +30 G OA. -3 OB. 3 ○ C. 0 OD. The limit does not exist.

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A: To find the volume of the solid generated by revolving the region bounded by the parabola  and the…

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A: Answer:  (a) $5880(b) $3920Explanation:Step 1:

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A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

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A: The objective of this question is to find a parametric representation for the given paraboloid S and…

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Q: The function P(x)=-1.5+ 300-6000 gives the profit when units of a certain product are sold. Find a)…

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Q: Find a rational function that may have the given graphs.

A: R(x) = {-4(x+3)(x -2)^2}/{(x- 4)(x+2)^2}Explanation:Step 1 -The numerator of a rational function…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

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A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: πT 0 3 2 4 tan(x) sec(x) * dx_ ´

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 8) a) 0 9) d) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find all the first and second order partial derivatives of f(x, y) = 3 sin(2x + y) - 3 cos(x − y).…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Hey! Done below. Please ask for further clarifications:)Explanation:1.)     f(x)=cos2x=>…

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A: Therefore, the directional derivative Da​f(a) is 16.Explanation:To find the directional derivative…

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A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

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Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

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Q: To complete the process legible

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Q: Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in…

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

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A: f(x)=x3ex

Q: x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square…

A: (a)A=x2+x2000​(b)10 meters(c)At the point x=10 , "A" is locally minimum.Explanation:Step 1:Step 2:…

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

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Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs y= x², y…

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Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to four decimal places?

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

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Q: Consider the following. -2 15 10 y f(x)=16 (4, 16) 5 g(x) = x² x 2 4 (a) Form the integral that…

A: a. ∫04​(16−x2)dx​b. 3128​Explanation:In the graph, we can find the area between 2 curves using the…

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A: The objective of this question is to find out how many years it will take for an investment of…

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: Evaluate the integral using partial fraction method (3x² + 2) dx (x+2) (x²+4)

A: The given integral

Q: 2x-3 Draw a graph of f(x): == +1 by first placing the horizontal and vertical asymptotes, then…

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Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a.  limt→∞​C(t)=5 b. In the context of this problem, the limit               limt→∞​C(t)=5…

Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

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Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: Given:Enough pure silver to coat 3 square meters of surface area is present. The plan is to coat a…

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Q: 5. 3. The graph of f is given below. If g(x) = f(t) dt, find the following value. Use the provide…

A: I'm uploading images for all questions.Explanation:Ques 5-1Ques 5-b Ques 3 Last ques

Q: (a) Let vt) be a differentiable vector valued function of t. If v. dy = 0 for all t, can we say…

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Q: n-1 1 series an = 256 4 Find the sum S5 of the first 5 terms of the geometric # a1 (1 - p) = n Use…

A: To find the sum  of the first five terms of the following geometric series.

Q: Find the first partial derivatives of the function. მu მr = მ მყ u = ln(x + 5y + 6:) მ:

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Problem #3: Consider the following function. f(x, y) = 2x3+24xy-12y2 (a) Find the critical points of…

A: Refer explanationExplanation: