1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

Q: 2x+1 x²-7x+12 S -dx

A: At first, we will do partial fraction then we will do integration

Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

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Q: Question 13 > Determine the number and type of solutions for the equation 3x² + 30x+75-0 O Two…

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Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)

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Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

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Q: 3. Using trigonometric substitution, what is 1 sec-²¹ ( 137 ) + √x²-9 2x² + C A. 1 300² (2) √²-90…

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Q: Question 9 A phone company charges for service according to the formula: C(n) = 22 +0.07n, where n…

A: A phone company charges for service according to given function .     [ C(n)= 22 + 0.07n ] Where,…

Q: 1 xVx+3 xp:

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Q: √√√x²-9 Consider x³ what is the integral form in terms of? 1 A Scos²e de B Scos²e de Ⓒ-S sin²e de C)…

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Q: Question 3 This question is not about solving the stated problem, but about understanding it. A…

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Q: S Find sec42x -dx tanº2x cot²2x-cot82t+C 12 16 1 1 1 1 12 tan 62x 16 tan 82x --(cot$2x) (² 1+3csc²2x…

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Q: Given: (1+2x) e-x dx. Using integration by parts and letting u = -1- 2x, dv = f(x)dx, then the value…

A: Let's find.

Q: Find F'(x). SOLUTION IN HANDWRITTEN x 1. F(x) = sin √t dt 2. F(x) = sin t² dt

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Q: Question 8 Using trigonometric substitution, what is f √x²_9 x3 A sec (-²) – + C √x²-9 6x² B √x²_9…

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Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

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Q: The equation 2k² - 3k 10 = 0 has solutions of the form k N± √D M (A) Solve this equation and find…

A: The given equation,    2k2-3k-10=0

Q: Find F'(x). 1. F(x) = √x+² (4t + 1)dt 2. F(x) = f*t³dt SOLUTION IN HANDWRITTEN

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Logarithm function Copy the table onto your paper, and fill in the x-values for y = log, x. x y -1 0…

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Q: 1. Evaluate the following limits. Using L'Hôpital's Rule is not allowed 3. lim (x-3) tan(9-x²)…

A: We will calculate the limits by Limits rule

Q: Find the arc length of the parametric curve. x=e¹, y=et, z = √2t; 0≤t≤5

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Q: 8. The integral What is the value of A. B. can be rewritten as 15x²x³43x - 19 (x + 1)²(x² - 6x +13)…

A: Let's find.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: As L'Hospital's rule is not to use so I have used the expansion of sin and tan function and easily…

Q: (A) = and B D = . Find the vector projection of A onto 2AD- BO O O O none of the above

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Q: 25 1. ƒ x²√5 − x²dx = − ²x(5 − x²) (5 − 2x²) + ²5 Arcsin (5x) + C 2009

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Q: B 0 Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written…

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Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: e falling parach

A: answer is in next step

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 = lim t→+∞0 (?, ?) 4t² +5't

A: limt→∞t2+44t2+5, 1t

Q: Given the integral S cot³x csc5x dx. If u = cscx, then the integral can be re-written as: (a). f (u²…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

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Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: 1 2x²-3 √² ²3 dx = (x² + 3)² + ²x² ³ + d x+√√x²+3 27 x²

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Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).

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Q: Consider the parabola given by the equation: Find the following for this parabola: A) The vertex is…

A: The given equation,    fx=-9x2-18x-7

Q: Calculate the derivative. x4-4 y = x²5 (Give an exact answer. Use symbolic notation and fractions…

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Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: x²+x+1 so Ja 2x²+2+x²+x dx dx = [Aƒ (x) – B ln(g(x))] à + D fb +2 and if A=,B<0, then g(x) = .

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Q: Find the inverse function of f(z)-1+.

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Q: d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt the product…

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Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: Test for convergence: Summation from n = 2 to infinity of (n + 3) / (2n^3 - 6)

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Q: rage value of the function over the given interval and al e function equals its average value. =…

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: We have to integrate the given function for the given limits

Q: Find the radius of convergence, R, of the series. 8 n Σ (x-a)", b>0 bn n = 1 R= Find the interval,…

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Q: +x+1 2x² +2+x³+x dx = [Aƒ'(x) − B ln(g(x)] + D, and if A=B<0, then f x+2 -2x + +5In(x + 2) + C 2 x²…

A: Solution of the problem as follows

Q: Exponential function Copy the table onto your paper, and fill in the y-values for y = 3*. X y 0 1…

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