1. 2. 3. 4. 5. Stan² z dr cot cot2 r dr COS I da sin² x 2 COST da sin r 1₁ sin a cos² x + z] dz 6. 7. *8. *9. (sin u + u) du (1-co cos v) du 1 dy sec y tan y 1 sin² x cos²x Ise da Answer

Q: dx Arcsin (²) + c

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Q: Using trigonometric substitution, what is 2 A sec-1 (3) - x²-g 6x² ® 1/1 sec - ¹ (1/3) - B x²-9 2x²…

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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: Let f(x) = 31² - 20x + 25 2x² + 12 - 1 This function has: 1) A y-intercept at the point 2)…

A: Given that    f(x) = (3x2-20x+25)/(2x2+1x-1)

Q: Find all real solutions of the equation 8m² -18-374. Write your answers as a list, using a comma to…

A: A detailed solution is given below

Q: 25 √x²√5 − x²dx = − x(5 - x²)(5 − 2x²)+² Arcsin(x)+c

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Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

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Q: 15x²x³43x - 19 can be rewritten as (x + 1)²(x² - 6x +13) Ax + B C D Slax ² + + lax² + bx+c (mx + n)t…

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Q: Question 6 The IBP formula fudv=uv - fvdu can also be written as fudv+fvdu = uv Which of the…

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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…

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Q: Find the degree of the term 126: Find the degree of the term - 6: Find the degree of the term - 12³:…

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Q: Find the inverse of f(x) f-¹(z) = . ✓ 3z + 1 -3x+4

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Q: Describe the long run behavior of f(p) = (p+ 2)(p+ 4) (p + 5): As p →→ ∞, f(p) → ? ✓ As poo, f(p) →…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1+ 1. lim. 2-12x²+x-1

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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: 10. A. B. C. D. Consider ·S -9 +3 what is the integral form in terms of ? sin ²0 de Scos²e de sin²e…

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

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Q: - 19 f(x+1)-(x2 - 6x +13) Ax + B √x²+bx+c² dx? (3)-In/x² - 6x + 13| + C The integral What is the…

A: Using partial fraction…

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 lim = (?, ?) t→+∞0 8t² +9¹ 5t

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Q: Let (A) = and B D= . 04 O -2 02 none of the above Find (A) 0.BO*

A: Given  problem:- (A) = <1, 2,3,4> , (B) = <0, -1, 4,-2> Find (A). (B)

Q: Find the arc length of the parametric curve. L x = 4 cos(t), y = 4 sin(t), z = 3t; 0≤t≤ T

A: Given problem:- Find the arc length of the parametric curve.   x = 4cos(t), y = 4sin(t) , z = 3t ; 0…

Q: Question 8 Let f(x) = (z - 6)² Find a domain on which f is one-to-one and non-decreasing. Find the…

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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: 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: Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

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Q: xg x9-₂x = 1 4

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Q: a. Find the volume of the solid obtained by rotating the region bounded by y = x³, y = 8, and x = 0…

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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: Using integration by parts, Then k is? (a)-1.5136 [²x³ cos(x²) dx = k - [*²x sin(x²) dx (b)-1.1365…

A: Our Aim is to find the value of k by evaluating the integral using integrationby parts.∫02 x3 cos…

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

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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: π/4 x³ dx (x²+4)5/2 (Use trigonometric substitution)

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Q: Find f'(1) given that f(x) ax+b cx+d' where a, b, c, d are constant.

A: we have to find derivative.

Q: Question 8 Jesse wants to build a rectangular pen for his animals. One side of the pen will be…

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Q: x = 48 cos(t),

A: answer is in next step

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: 4d³y-13 +6y=0 dy dx3 dx

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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: f(x, y) csc(y) Arcsin (x²) find fx (x, y) and fy (x, y).

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Q: 1 xVx+3 xp:

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Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

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Q: Check if proper fraction. 2. Check if the denominator is reducible or not. 3. Perform cancellation…

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Q: A function f(x) is said to be continuous at x = c if the following three conditions are satisfied:…

A: Solution is here

Q: Question 14 If f(x)=x+4 and g(x) = -4, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function…

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Q: 20. To solve S for this integral? A(2x) + B x² A. B. C. 22-12x dx, partial fraction is to be…

A: The given integral,      ∫22-12xx23x2-10x-8dx

Q: 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the point x² + 1 where…

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Q: 25 125 Explain why you think the series - 2 + 5 - .... 2 8 converges to a 32 finite number or…

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Q: Calculate the derivative. f(x) = 6 - 9x¹/3 +9ex (Use symbolic notation and fractions where needed.)

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Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: mby f(x) = (lnx) (sin x). The figure above

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