Question 1: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=√4-x, 2 ≤x≤4

Q: Using polar coordinates, evaluate the volume of the solid in the first octant bounded by the…

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Q: Joey already knows that he will have $700,000 when he retires. If he sets up a payout annuity for 16…

A: NOTE: Refresh your page if you can't see any equations. . here given present value is  P=700000…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X-8 X118 7-9x If the function…

A: Given f(x) = -9cos17-9x

Q: The graph of f(x) = 3 - 4 over the interval [0,2] is sketched below. Do you S (3-4) dx to be expect…

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Q: Use the sum and difference identities to determine the exact value of the following expression.…

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Q: the given cost function C(x)=44100+300x+x2  find: a) The cost at the production level 1350    b) The…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Given:       Rx=0.006x3+0.02x2+0.4x where x is the number of lawn chairs. a) Current daily​ revenue…

Q: At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second…

A: Given, At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a…

Q: You have $300,000 saved for retirement. Your account earns 7% interest. How much will you be able to…

A: NOTE: Refresh your page if you can't see any equations. . here given present value is  P=300000…

Q: Substitution Suggested by Equation 1. sin y(x + siny) dx + 2x² cos ydy = 0

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Q: d dx 47. Prove that (cot x) = -csc²x.

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Q: Use spherical coordinates to evaluate the triple integral ille x² + y² + z² dV, where E is the ball:…

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Q: Find the centroid of the region bounded by the given curves. y = x³, x+y= 10, y = 0 (x, y) =

A: The given curves are  y=x3, x+y=10, y=0

Q: Given that f(x) = 1 4 x² Evaluate the 2022nd derivative of f(x) at x =

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Q: D is a region in the 2nd quadrant that is inside a circle with equation x2 + y2 = 16 and outside the…

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Q: 12. Consider the following (true) claim and two possible proofs. Claim. If n is a positive integer,…

A: Claim:   If n is a positive integer, then n2+3n+2 is not a prime number.

Q: "hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis…

A: We will find the required.

Q: te the first four partial sums S₁, ..., S4 for the series having nth term an starting w S. = 12 - 2n

A: We will find.the required.

Q: Use the given graph of the function f to answer the following questions. Part 1: Intervals Find the…

A: The graph of the function f is given as

Q: Consider the differential equation x²y + xy = 1. (1) What is the order of this differential…

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Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) x2 + 4x +…

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Q: Evaluate the integral. 6 [T 0 -6 36-x² 1 -√√36−x² (x² + y²)1/2 - dy dx dz =

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Q: Find the equation of the normal line to the curve y = x¹ + 1 that is perpendicular to x + 32y = 4. I

A: The given curve is  y=x4+1

Q: a) What is the modulus of z = 6√26+ √26i 1-i b) Let v= and w= if these two vectors are orthogonal…

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Q: it is predicted that the limiting number of people in the community N(O)-> Need Help? Read…

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Q: Describe the domain of integration of the integral. [² √81-x² /81-x²-² xy dz dy dx Choose the…

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Q: Write a in the form a=a+T+aNN without finding T and N. r(t) = (8 + 7t)i + (t-3)j - 5tk =T+N a =

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Q: =0 π n=0 -2η π

A: As we know that sum of geometric series a+ar+ar2+···· for first term a and common ration r is a1-r

Q: Evaluate the limit lim x →∞ √4+2x² 4 + 2x

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Q: Identify the type of differential equation (noting the best way to solve them): y' + ²y = 4x

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Q: Evaluate the line integral f3y dx + 4x dy where C is the straight line path from (2, 1) to (7,5).…

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Q: For the followings problems, consider a function h that is twice differentiable. This means that his…

A: The function h is twice differentiable. The values of h'x are given in the table. x -8 -6 -4 -2 0…

Q: Determine the type of DE (select all that applies): (3x²-2xy + 3y2) dx = 4xydy None of these Linear…

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Q: If k(x) = sin(f(x)) = sin(x8 +36x +46), find f(x). f(x) =

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Find the limit

Q: (2) Find parametric equations for the upper semi circle with center (4,3) and radius 5. Sketch such…

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Q: Verify that the Mean Value theorem applies to the function g(x) = √100 - 2² on the interval [-8,6],…

A: Concept: Mean value theorem states that if a function g(x) is continuous on a,b and…

Q: Given the series: SH k=2 1 k + 3 does this series converge or diverge? diverges converges If the…

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Q: nd the general formula for the nth term of the arithme , 91, 84, 77.... Use it to determine at which…

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Q: (5) Find the tangent of the cycloid x t = π/3. = = r(t — sint), y = r(1 − cost) at the point where

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Q: 2. Sketch the piecewise function below, then identify the largest and smallest value of y. { -2≤x≤0…

A: We have to sketch the given piecewise function.

Q: Question 12 Find the mass and center of mass of the plate that occupies the region and has the…

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Q: Use trigonometric identities to simplify the expression. tan(θ)cos(θ)

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Q: Use implicit differentiation to find dy dx 3xy + y2 = 4x + y = dy dx

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Q: 1092(x²-x-2)=2

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

Q: K When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03…

A: In this question we have to find the rate of change of area.

Q: Topic: Differential Equation Bernoulli's Equation solve the given differential equation by…

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Q: How would you make a sign chart for 3(x+3)^2(x-4)^3(x-9)^2, then sketch a rough graphe while using a…

A: The sign chart can be formed using two steps, (1) Find the roots of f(x) in order to find where the…

Q: 39-40 Find f'(x) and f" (x). 39. f(x) = x¹ex

A: Given: Now,           f'(x)=x4ex'         =x4' ex+ex' x4        =4x3ex+exx4

Q: Determine whether the series ผ m=1 4 ln(2m) m² gont or divergent 1. series converges 2. series…

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