Determine whether the conversard or arguil Gre your divergend. Justify @ 1 + 1/8 + 2/27 + 2/64 t... (Note: First simplify the given sum {anfurn)

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

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Q: n! 1 · 3 · 5 ··· (2n − 1). +∞ n=1

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Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

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Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: π/4 [sin (√x) dx 0

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Q: 253-45-8 (5²-5) (5²+4) 253-15-8 s(5-1)(5²+4) Focusing on 5(5-1) (5²+4) A+B (3-1) S on denominator +…

A: Solution of given question is written in below steps.

Q: Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form…

A: Given  v = pi r^2 h = 45 h = 45/(pi r^2)   the metal used is just the surface area a = 2*pi r^2 + 2…

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: Find the general solution of the differential equation y" 12y + 117y = 0. NOTE: Use c₁ and ce as…

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Q: The integral S.¹0 d 10 x²+6 x-8 is improper. dx

A: The given integral is (x2+6)/(x-8) , limit from 6 to 10.

Q: 12. If eie + 1 = 0, what is 0? A. 0 B. π 2 C. T D. 2π E none of the above

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Q: √2 2 sin-¹(x)dx

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

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Q: Solve: x²y + xy' -n²y = 0 General Solution: y = C₁ *letters only a.x2n b. x-n a.xn b. x-2n c. x2n…

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 24³ 25 By the + + + Limit…

A: here, we will use comparison test to check the convergence .

Q: √1-y 6.(2-x-y) dx dy 0 0

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Q: Find an integrating factor and solve the equation 4x y' = e¹x + 8y - 1.

A: Solution of given question is written in below steps.

Q: fe* sin 2xdx.

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Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: If f is a differentiable function and such that and g (x) =x^2 f(x) such that f(3) = -7 f'(3) = 2,…

A: This question can be solved using the concept of product rule of differentiation.

Q: 1 -1 tan X x² +1 -dx

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Q: ) Consider a horizontal parabola of the form ay² +by+ c = x wherea #0 and whose graph contains the…

A: Given problem:- Consider a horizontal parabola of the form ay² +by+ c = x whose graph contains the…

Q: 17. a. s = ln(4x) Inz I b. 1 IN C. IN d. 1 4x

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Q: 3 f(x) = x³ on on [0, 2]

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Q: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y'…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Determine whether the lines L₁ and L₂ are parallel, skew or intersecting L₁: x = 4 + 2t, y = -5 +…

A: L1 : x=a1+b1t , y =c1+d1t , z=e1+f1tL2 : x=a2+b2s, y =c2+d2s , z=e2+f2sthen Lines L1 and L2 are…

Q: Verify that the line r(t) = [1 + t, 1 - t, t] is part of the one sheeted hyperboloid x^2 + y^2 -…

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Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: A rectangle has an area of 133 cm² and a perimeter of 52 cm. What are its dimensions? Its length is…

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: is

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Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Find B in the partial fraction decomposition: 0-170 6 O 16 O 0 - 11 O - 5 6 none x²+2x+7 x3-10x2+21x…

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Q: Suppose that f is a differentiable function defined on the whole real number line R and that the…

A: Given: A 'fx' is a differentiable function for x∈ℝ.  Ory = fx…

Q: Using Linear Approximation, estimate Af for a change in x from x = a to x = b. f(x) = ln (x), a = 1,…

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Q: To evaluate the integral /VF² we use Select one: x² +9dx Substitution with x = 2 tan 0, where -T 7…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: ax+2, x≤2 f(x)=4-x². 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find the…

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Q: Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1…

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Q: Which value is the average rate of change for f(x) = √x + 1 o the interval (0,3)? 13 0 -1 -3 3

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Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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Q: If 2 cos 2t = 1/5 then sin² t = Select one: O True O False 13 30

A: We can find the answer as below.

Q: f (x-2)(x+1)' dx

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