Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski steps. x²+x+1 (x + 1)² (x+2) 0 dx

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

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Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

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Q: Example 3.6.2 Sketch the graph of y = f(x) = (2) Answer: A. The function is not defined at 3, so the…

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A: NOTE: As per our guidelines, I am supposed to solve only one question. Even though I have answered…

Q: Use a double integral to find the volume of the indicated solid. X 5 4 3 CH N z=6-2y 2 0≤x≤4 0≤ y ≤2

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Q: 1. I. lim f(x) = 1. 1116 II. lim f(x) = 2. 2416+ 2. I. f(-6) = 2. II. f(-6) is undefined. 3. I. lim…

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Q: For what values of h are the vectors -7 3 and 2 OA. The vectors are linearly dependent for all h.…

A: The given vectors are -732 and -146h

Q: C. Solve the given differential equation by undetermined coefficients. 1. y" + 6y +9y=-xe4 2. y(4)…

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Q: D. Multiple Choice 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)],…

A: According to guidelines I can solve only first three subparts rest can be reposted.

Q: The trigonometric substitution x = = 3 sin 0 has led to the integral I = f tan³ 0 sec 0 de which can…

A: Topic:- application of integration and trigonometry ratios

Q: Question 4 Which statement below is the equivalent rewrite of logg 216 = 3?

A: Question no. 4,Given,           log6216=3

Q: For items 11-25 consider g(x) as defined below. g(x) = 11. I. lim g(x) does not exist. 21-14 II. lim…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Questions 6. W Use the following information to answer the next question Two functions are shown. y…

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A: We will find the solution

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Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: Write the sum as a product: sin(16.76) + sin(12.96) = > Next Question

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Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

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A: Topic:- application of derivatives

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A: I am attaching image so that you understand each and every step.

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Q: they rent x apartments, ximize profit? s are given by: 0≤x≤ 1000 100 widgets per week?

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Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: 7. Use the Root Test to determine if the series converges or diverges. a. b. k=1 W k=1 2k

A: The given series, a) ∑k=1∞k+12kkb) ∑k=1∞kek

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

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Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: f(x) = 3x^3 + 9x^2 + x + 3  Factor f(x) into linear factors. Don’t forget the leading coefficient.

A: The given function is; f(x)=3x3+9x2+x+3.

Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Differenciate function at given point and use equation of tangent plane

Q: Apply Green's Theorem to evaluate the integral. $(7y + x)dx + (y + 9x)dy C: The circle (x-3)² +…

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Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 5 y(x) =.

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Q: In 2008, 25 million teenagers owned a cell phone. In 2009, 28 million teenagers owned one. Assuming…

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Q: Identify the quadrant for the angle 0 satisfying the following conditions. sin 0 0 and cos 0 <0

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Q: 8. Find a continuous solution satisfying dy dr + 2xy = f(x) where = x if 0 < x < 1 0 if x ≥ 1 off…

A: Solve the following

Q: Q5 a) If f(x) = ² (1 - 1²) e¹² dt, on what interval is f increasing? b). Find a function f and a…

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Q: Consider the following. (The graph is called a serpentine.) (-4,-16) Find the derivative of the…

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