Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

Q: 21 te 1 1 1-2 1-2 None of the alternatives are correct If L <=lim In p-400 then f(t) is 0+2

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Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: 6. 15 4 3 5 1 23 24 -3 -6-5-43-2 2 3 4 5 6 -6 Write the domain of the function using interval…

A: Given query is to find the domain of the function.

Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

Q: Suppose f(x) = x² - 4x-9. Compute the following: A.) f(-3) + f(2) = B.) f(-3)-f(2)= =

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Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: 8 lim x-2+ x²-4 x→2+ X x-21

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Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. ਨੀਲੀ 27 π 70 21…

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Q: Write the equation of a sine or cosine function to describe the graph. 'y 4- 0 NA 3 9 15 4 2

A: we have to find sine function.

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: Evaluate the integral improper integral (A) 1/9 B) 1/6 1/8 (D) 1/4 0 00 dx (2x-1)³

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Q: Mode QuesX 4) Cor + (y + 5)² + (y + 5)²

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Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…

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Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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Q: 2. Find a power series solution of the differential equation y' = 4y

A: To find a power series solution of the following differential equation.y'=4y

Q: y = x² + 2, y = 2x + 5, x=0, x=6

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Q: A certain industry's ad spending between 2005  (t = 1)  and 2011  (t = 7)  is projected to be S(t) =…

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Q: -3.x Solve y" +4y=e¹³*

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Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) &gt; 0  from graph  Function is increasing…

Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: Use the method of Laplace transforms to solve (O) 0 (0) 0.

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Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

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Q: Given: X == In(x²y - 1) y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx + dy dx…

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Q: 6. It's Easy as Pie of Chesterfield, Missouri, bakes every kind of pie you can imagine. An…

A: Given is the application based question of integration.

Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: Previous Problem Problem List Next Problem Solve the following equation in the interval [0, 2 π].…

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Q: to express the integrals as limits of [ f(x) dx (b) [f(x) dx

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Q: Evaluate the integral. JS 2x + y dA D where D is the region bounded by y=x, y=0, x=2.

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Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

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Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: In this question we have to find limit of the function and check discontinuity.

Q: Question 2c.)

A: Here we have to find the period.

Q: 5.Prove that: if f is continuous at x = 0, then xf (x) is differentiable at x = 0.

A: We want to prove the given result.

Q: Find f''(x). 5 f(x) = (x² + 5) *

A: The given function,  f(x)=x2+55

Q: Lemon and Pepper are going sailing on the ocean today. Lemon's sailboat is 50 miles north of…

A: We have to find the distance between their sailboats changing after 2 hours.

Q: lim (t i − 4 j + t² k) 1-9 ■im (t i − 4 j + t² k) = i →9 i+ i

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Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: 7. The height (metres) of a bouncing ball can be modeled by the function h(t) = 2sin4t + 2 over the…

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Q: 4. y ln x + xesin y = 0=

A: Given

Q: Show that the polynomial z5 + 14z + 2 has four zeros in the annulus </2 < 2.

A: Given

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3