dr 21. (1+x²)/16 – (tan-l r)² dx e2x+2+2 22. 8. dx x2 - 6x + 25 23. 6. 24. dr J (2 - r)V - 4x +3 dr V4r - a 25.

Q: cos (20)= 2

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Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

A: Given query is to find series converges or diverges.

Q: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

A: The population of Nash County in 2004 was 28,000. In 2012, the population grew to 35,470. Johnson…

Q: Explain, using the theorems, why the function is continuous at every number in its domain. 2x2 – x –…

A: 2x2-x-4x2+9  Function fx is continuous on interval a, b if it is continuous at every point. We know…

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A:

Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

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A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: What is the exact area bounded by the curve f (x) = = and the x-axis on the interval [1, 8]? Write…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Arc length of the parametric curve :                 L = ∫αβ dxdt2+dydt2 dt.

Q: The interval of convergence of the series 41+2n (x+3)" is - -- 5n+1 16 16 Select one: O True O False

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Q: n!(n+1): (2n+1)! n=0

A:

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: According to our terms and conditions we are solving one one part. Please repost other parts again.…

Q: aw aw aw I. Find дх and and (whenever possible) for the following functions. ду dz 1) w = 5x*y –…

A: Since, you have posted multiple questions. As per guidelines we"ll solve only first part. If you…

Q: x dx V3-2x-x

A:

Q: 120 a) Asymptotes b) Local maximum or minimum c) Behaviour Page 3 of 4 d) Based on your graph, fill…

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Q: Evaluate the definite integral using integration by parts. Do not use any other met od You must show…

A: topic- integration by parts

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

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A: We have to find out the integral

Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

A:

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

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Q: A man of height 1.7 meters walks away from a 5-meter lamppost at a speed of 1.5 m/s. Find the rate…

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Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: I d (Cot x) (COS X dx sin X * Sin x (-sin x)-cos x (cos x) (Sinx) (sin*x + ças* x) Sinx + Cos x )…

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Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: Show

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Q: Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x +…

A: This is marginal cost finding question.  We can find the marginal cost by differentiating the…

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A: Given query is to find statement is true or false.

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.

Q: s of the ellipse O is

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Q: t2, -8 + 3t, g(t) = l(t -6)* + 2 cos (: -). – 6)? + 2 cos (-),

A: answer is in next step

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A: we have to find out the nth term

Q: S Зх-7 dx 10х2+3x+11

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Q: is this a ratio test or a nth term test

A: Here, the given series is: ∑n=1∞(n+18)!18!n!18n

Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

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Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: (1) Evaluate the double integral and sketch the graph. 1/4 4 r2 sin 0 cos 0 dr d0

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Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

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Q: A supermarket sells two brands of coffee: brand A at $p per pound and brandB at $q per pound. The…

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Q: . L'Hôpitaľ's Rule Evaluate the following limits or explain why they don't exist. 1 lim 1 X→0 sin x

A: Rewrite

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Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse…

A: Let's find.

Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series