lim (n + 1 – Vn² n) n 00

Q: Use spherical coordinates. Find the volume of the part of the ball p s 4 that lies between the cones…

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Q: H.W 1. Test the convergence and divergence of the following series, find the sum of convergent…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: |tan 3x sec 3xdx 3.

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Q: r the sequences an defined below are con nverges, find its limit.

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Q: hat lump sum must be invested at 6%, compounded monthly, for the investment to grow to $52,000 in 6…

A: Use compound interest formula.

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: Given a Bernoulli's equation dy + 3ry = 2y, dz from applying proper substitutions, we obtain the…

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Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

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Q: Jose's rate of doing work three times as fast as Bong On given day Jose and Bong work together for 4…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: a) a = -i +5ju = a|a||a|=(-1)2+52 =1+25=26|a|=26u=-i+ 5j26u=-126i +526j

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: Evaluate the integral :   ∫5cosxcot2sinxdx

Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

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Q: Solve the following equation. 2 (53x) = 31,240

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: What could be the few terms of an + 1 = 2an? а. 4,16,64,256 b. 8,16,32,64 с. 2,4,6,8 d.…

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Q: Complete parts (a) through (d) 149 a. Graph the function f(x)= for x=0 to x= 10. 1+4e -2x b. Find…

A: We have to find graph

Q: Compute the following limit. If the limit goes to ∞ or -o enter INFINITY or -INFINITY, respectively.…

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: The population, P(t), of a town increases as the equation P(t) = 32e. What is the value of k if the…

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Q: 4. Solve differential equation y'+ 2.xy =0.

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Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: An isosceles triangle with vertex at (0, -1) is to be inscribed in the ellipse x? + 4y² = 4. Find…

A: We have to find the largest area of the triangle.

Q: Which of the following is a proper substitution to solve the Bernoulli's equation 27'y- 22 y3 = 3y?…

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Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: V10. What are the horizontal asymptotes of the function f(x)=Nx+9 O y = 5 only O y = -5 only O y= -5…

A: Given query is to find the horizontal asymptote.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: Antiderivatives of Algebraic Functions Find the antiderivatives of the following.(Excercises)

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…

Q: In x dx .2

A: We need to solve the integral.

Q: Itan'x)dx

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Q: help

A: We have to find the value of the given integral according to the given information

Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

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Q: d'y Find dx2 (a) y = 8x³ – 5x² + x dy dx? (b) y = 7x² – 2x + 9 - dy dx? x + 6 (с) у %— dy dx? (d) y…

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Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: You are setting up a "continuous annuity" trust fund. MOney is continuously transferred from your…

A: answer is in next step

Q: The amount of skin covering a person's body (in square feet) depends on the person's height and…

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Q: At the end of an advertising campaign, weekly sales declined according to the a. The sales at the…

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Q: w much will a person pay for 6.2 pounds of bananas at a price of $0.93 per p e price the person will…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: Given query is to find average cost and marginal cost.

Q: and fyx are equal. fxY ух Find the second-order partial derivatives of the function. Show that the…

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Q: 6x if x 2

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

Q: Find the length of the curve y = In (4 sin x) from 7sxS5. The arc length of the curve is (Type an…

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Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Q: (v2x+2Az+1)(v/2x+1)[/2x+I+v2x+2Az+1] (V2x+2Az+1)(v2x+1)[/2x+I/2x+2Ar+1] -3…

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Q: In each of the following, find lim r (t) if it exists: sin 7t 1– cos 2t 1. T (t) tant î - t t t 2.…

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Q: Solve the logarithmic equation. 2 log x= log (10x- 250) + 1 X3= (Simplify your answer. Type an exact…

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Q: Find the quadratic function such that f(4) = - 26, f '(4) = -19 and f ''(4) = -6.

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Q: cos x dx

A: topic - integration by parts