(D4 − 1)y = 0

Q: 2x+1 x²-7x+12 S -dx

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

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

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Q: Find the exact arc length of the curvex = 1 3(1² Enter the exact answer. L = + 2)² from y = 1 to y =…

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Q: 15x²x343x - 19 The integral (x + 1)²(x² - 6x +13) can be rewritten as Slax [ax² + bx² + c + (mx +…

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Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

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Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: 22-12x x²(3x² - 10x-8) To solve - for this integral? a dx partial fraction is to be employed. What…

A: Partial fraction

Q: -2√4x²+k

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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: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: Do as indicated. 1 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the…

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Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…

A: Here is the solution

Q: x³ dx Using integration by parts to solve f √4- and letting U = - then v = f(x) is

A: Topic:- function and integration

Q: 9. The surface area of a cylinder is A = 2h+2². If the radius is measured to be 6 inches with a max…

A: Given, Surface area of cylinder, A=2πrh+2πr2 Given radius r=6in with maximum possible error dr =…

Q: Find the average rate of change of g(z) = 4x + 5 between the points (-4,-11) and (3,17)

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Q: Question 13 Graph f(x)=x²-10x + 24 below by first selecting the correct shape, clicking the vertex,…

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Q: A B C The IBP formula fudv=uv-fvdu can also be written as f udv + ſ vdu : = UV Which of the…

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Q: The height y (in feet) of a ball thrown by a child is 1 y 162² +42 +5 where a is the horizontal…

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Q: dx 1+tan x

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Q: Let (A) = and B = . Find the angle between B and A D O [cos) 2/√(30(21)) O [cos] ^(-1) 2/√(30(21)) O…

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Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 1 > Consider the parabola given by the equation: f(z)--22²-12z+7 Find the following for…

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Q: a cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

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Q: Question 7 Let f(x) = 6x +11 f-¹(x) =

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Q: 18) fin

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Q: Question 8 3 (2x+4)³-8 } is

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Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

Q: Consider the function f(x) = x² x7 +4 Use the Intermediate Value Theorem, if applicable, to…

A: Using the intermediate value theorem.

Q: You have found an annuity that will pay 4.75% annually and you plan to put $1,000 into the annuity…

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

A: answer is in next step

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

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Q: Determine whether the sequence a₁ = find the limit. Show All Your Work! 1+9n² 1+n² converges or…

A: To determine whether the given sequence converges or diverges.

Q: Calculate the difference quotient for f(x) = x + x¹ at a = 9. (Express numbers in exact form. Use…

A: Here is the solution:

Q: A B 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: Your answer is incorrect. Evaluate the definite integral. NOTE: Enter the exact answer. Ld+23|| =…

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Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Concept: As we know that a equation of the line through the point (α,β,γ) and perpendicular to the…

Q: √x²+a² =dx = _ (x²+a²)² 3a²x³ +c

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t+oo 5t² + 6'8t = (?, ?)

A: Solved below.

Q: Question 10 Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is…

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Q: Given : A B Ⓒ E b 27π²-24 [x³sin(2x) dx = . 64 2π 3 3π 4 TU 4 =|m 5 T 6 Find b if Isb -SOST

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Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: Explain why you think the series Σ01 77 converges to a finite number (-8)"-1 or diverges. If the…

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Q: Using partial fraction in evaluating Ⓒ-1/2 (2x+1)+ 7/7/ A B 2x-6 © 1/2-(2x+1)= 1/7/2 D 6-2x…

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Q: Exatuate the integral QUS √3x xام واح

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Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: Explain why you think the sequence 1-(-1)" con converges to a finite number or n+1 diverges. If the…

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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: y=x√1 + x²

A: