Q1) Determine if the following integrals converge or diverge. If the integral converges determine its value. dr a2 – 9 0.

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

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Q: Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

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Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: Condense the expression to the logarithm of a single quantity. log (x + 1) + 2 log3(x - 1)] + 6 log3…

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Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Which is the power series representation (a) n! n=0 (b) -1)". (2n)! n=0 2n+1 (c) X-1)* (2n + 1)! n=0…

A: We have t

Q: Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

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Q: 2 ー (4-x²) dx -2

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Q: C. 5x' + xy = 5x°y³ .3 ху .3

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Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

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Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

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Q: 1. Answer the following questions for the quadratic function f (x)=x² -8x +8 . a. Calculate the…

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Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

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Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: dS u dt %3D S Integrating between time 0 and time T, we get ST = SoetT

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: To solve the given equation algebraically

Q: 3End any possible angle LB if ZA=30°, a=14 and b=10

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Q: Evaluate the line integral, where C is the given curve. | xyz? ds, C is the line segment from (-2,…

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Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: Find Σ +i . Ο 30 Ο 31 Ο 32

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Q: 3 to dy 2 +Sinx COSX

A: Given query is to find the solution of the differential equation.

Q: . Evaluate the double integral , Sf(r,0) dA, and sketch the region R. 5. 2 S, v9– r² dr de

A: Let's find.

Q: At how many point(s) does the helix with vector equation r(t) : (cos t, sin t, t) intersect the…

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Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: Evaluate the summation S -1. 35 85 55

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Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

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Q: The Intermediate Value Theorem can be used to prove that the equation x2 – x – 6 = 0 has at least…

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Q: The graph of y= f (x) is drawn below, sketch a graph of y = f(x).

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Q: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

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Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Find the radius of convergence, R, of the series. xn + 6 7n! Find the interval, I, of convergence of…

A: For the series ∑an radius of convergence we will follow the following stepslimn→∞an+1an&lt;1  and…

Q: A famous leaning tower was originally 184.5 feet high. At a distance of 130 feet from the base of…

A: Using sine rule, all parameters are evaluated.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: x³ +x 3+X 2. Evaluate dx X O x3 + 3x + C O 2x + C -+x+C

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Q: 4 of 21 Which of the following is not an identity? I. tan z + cot z = sec z csc z II. cos? z = sin…

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Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

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Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: S2 2 sin?x cos5x dx =?

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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