y=- If the graph of x-chas a horizontal asymptote y = 5 and a vertical asymptote x = -2, then b cannot be equal to: 12 -5 -10 ax-b 0

Q: 15. 5² dx (x² - 1)3/2 1/2 17. ²x√1 - 4x² dx 19. f √ √ x 21. fºx² √a² — x² dx 23. f √x²-9 29. J S X…

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Q: (-8.5,0) -13 (-9,-3) (-7,3) (-5,0) (-3,-5) (4,0) -6 (0,-1) (3,-1) (6,2) -1,-3) y = f(x) (8,0) 13x

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A: To parametrize the Intersection of given surface .

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Q: Evaluate the following improper integral whenever it is convergent. 4 [ * / / dx

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Q: 4. How do we get the graph of y=-In (x+2) from graph of y= In (x)?

A: The function is

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Q: x² - 1 x-1 dx

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Q: a square represented by the graph as follows. Find the fourier transform pair.

A: The Fourier Series is given by :Here, 1. f(x) is the function2. L is half of the period of the…

Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

Q: TT/2 11. f/² sin²x cos²x dx 0

A: The term "integration" refers to the addition of discrete data. The integral is calculated to…

Q: dy 7. a) Prove that, fo-y4 = 4√/2n e2x b) Prove that, √∞ (e³x+1)² dx: = 2π 9√3

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Q: 1-56 Evaluate the integral. 1. f sin³x cos²x dx 3. f/2 cos³x sin³x dx 5. sin³ (21) cos² (21) dt S 7.…

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Q: If sin t = 3, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 3' tan (2 t)…

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Q: Use mathematical induction to prove that, for n≥ 1, n³-n is divisible by 3. Note: If you would…

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Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors.…

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Q: Find the indefinite integral. x²³ ex²-1 dx

A: let

Q: The Lagrange multiplier technique is to be used to find the points on the ellipse 2r² + y² = 1…

A: The Lagrange multiplier technique is to be used to find the points on the ellipse  closest to and…

Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

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Q: Calculate 1 10 1 x² dx.

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Q: Using the graph above, evaluate the following limit. lim f(x) (A) 1 (B) 2 (C) 3 (D) The limit does…

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Q: dx cos²x •/.

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Q: Determine the exact value of each of the following expressions. sin 7π 6 (47) 3 cot cos(-5+7)

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Q: 9. ↑ w In w dw 11. f (x² + 2x) cos x dx 13. fcos ¹x dx 15. ft²ln t di In 17. St csc²t dt 19. (In x)²…

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Q: Q7. If a beam of light that has intensity k is projected vertically downwards into water, its…

A: If a beam of light that has intensity k is projected vertically downwards into the water its…

Q: (-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

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Q: (d²x) Q²: L {1²} dt² =?

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Q: Find the relative maxima and relative minima, if any, of the function. g(x)= x+2 X

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Q: Suppose the line tangent to the graph of f at x = 3 is y = 6x + 5 and suppose y = 2x - 4 is the line…

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Q: Let r(t) = (t³,tº) g(t) = sin(4t) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: Let g(x)=3x2-6x-5   Find   g (-2) g(0) g(-3a)

A: We are given the following function.Let g(x)=3x2-6x-5.We need to find the following.g (-2)g(0)g(-3a)

Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

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Q: Rewrite the equation with the variables separated. hh' = 6t²dt 0 h = 6t²dt dhe = tdt 6h ○ hdh =…

A: given

Q: Consider the following. f(x) = 1 x + 7 Use the limit definition of the derivative to find the…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the fundamental identities to fully simplify sin (-2) cos (-2) csc (- S Enclose arguments of…

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Q: The side of a coffee cup given by y = 2x. The base has a radius of 10cm and the top a radius of…

A: Here we have given a coffee cup with base radius of  and top radius of  and side is given by .Let,…

Q: Suppose that f(x) = 19x² - 8x. (a) F'(x) = (b) The slope of the graph of f(x) at x = 5 is (c) The…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the Laplace Transforms to solve the following IVP (Initial-Value Problem) y" - 3y + 2y = 0, y(0)…

A: We can solve the given Initial value problem by using the laplace transform formulas.L(y") = s2 Y(s)…

Q: Determine all possible values of 0, 0≤0 ≤2л, if cot 0 = -√3 cos²6 =1/12

A: We know that cos positive 1St and 4th quadrantAnd tan positive 1St and 3Rd quadrant

Q: 4) Find vector and parametric equations of the plane that contains the two intersecting lines…

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Q: S sin x cos²x+cosx dx

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Q: Inflection points for y=tanx

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Q: 4 For the function f(x,y,z) = 3 + xy² – 4z², find f, fy, and f₂

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Q: Which of the following equations represents an ellipse with x-intercepts +2 and y-intercepts ±3? O 3…

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