Discuss the similarities and differences between what it means for a sequence to converge and what it means for a series to converge

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: use implicit differentiation to find

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Q: Given the function: f(x, y, z) = æ²y*z³ + xy+ ² + 1. %3D Find a. f,(x, y, z) b. f:(x, y, z)

A: Topic:- partial derivatives

Q: 2) To what number does E-L T Converges? (-3)" m=1 gn+T

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

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Q: k V9k² +1]

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Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0&lt;x&lt;2π

Q: ) Differentiate:  (a) f(x) = √x(cos)x2 (b) f(x) = 2x/x2 + 4

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Q: Find the slope of the tangent to the curve, y = 2x – x² +x° at (0,2).

A: Given curve is  y=2x-x2+x3.  We have to find slope of the tangent to the curve , at (0,2 ). To find ...

Q: 1 2 3 4 5 6 7 8 9 10 11 12 13 1500 12 Sarah needs to cover a triangle that has a base of 34 inches a...

A: This is a basic geometry problem

Q: 3) Use the method of cylindrical shells to find the volume generated by rotating the region bounded ...

A: This question is based on cylindrical shell method integration.

Q: Francine currently has $45,000 in her 401k account at work, and plans to contribute $3,000 each year...

A: We need to find total amount accumulated.

Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: Find: WxtWy Wxy,xx Wyy W= I+xy-z²

A: GIVEN:- W=1+xy2-z2  To find:- Wx , Wy , Wxy , Wxx , Wyy , Wyx

Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2...

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Q: this subject is all about integral calculus.. please do help me with the image i uploaded... please ...

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Q: Sketch the graph of f and determine wheref is nondifferentiable. -x +6 if x<0 f(x) = 6 if x20 Choose...

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Q: y : 3

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Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The tota...

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,    

Q: For the curve xy+ x²y – xy² = 1, use implicit differentiation to find the equations of the tangent l...

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Q: Find the most general antiderivative or indefinite integral. You may need to try a solution and then...

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Q: Solve by integration by parts.

A: Given that: ∫1x1+x6dx

Q: Let f(x, y)= Jxy +x+xcosy. (a) Find fxy-

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Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

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Q: Let s(t)=4t^3+48t^2+180t be the equation of motion for a particle. Find a function for the velocity....

A: This function is related to motion of partical. Solve in step 2.

Q: Find A) The x values of all points where the function over the given interval has any relative extre...

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Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

A: Given:  The border is 2 inches wide on the left and right sides, 3 inches wide on the top and bottom...

Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: Use the difference an+1 – an to show that the sequence {n – 2"}n=1 - is strictly increasing or stric...

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Q: 2. H(x) = 4x2 + 4x - 4 %3D Circle the correct choice: Concave up or concave down? Vertical Stretch, ...

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Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: Find the derivative of by using the product rule. " 3 (1+ v=) (- - 25) 3 11 3 -3x 3 option 4 Option ...

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Q: cos? x dx 4 sin* x 2.

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Q: sin“ x cos" xdx

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Q: What is the average rate of change of f(x) from x1 = -0.2 to x2 = 7.8? Please write your answer roun...

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Q: 1. Determine the slope of the tangent line to the function f(x) = 2                                 ...

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

A: Topic = Function

Q: Find the supplementary angle of 91.8°. The supplementary angle of 91.8° is °. (Type an integer (Туре...

A: We know that the sum of supplementary angles is 180°.

Q: determine whether the statement is true or false. If it is true, explain why it is true. If it is fa...

A: Given: Iflimx→7 g(x) = 0 and limx→7 f(x)g(x) = 0 exists, then  limx→7f(x) = 0.

Q: What is lim1 f (x) ? X

A: Find your answer below 

Q: If f(x) tan (5x), find f (x). Use exact values. f'(x) =

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Q: -1 0 3 5 The functionf is continuous on the interval [-2,7] and consists of three line segments and ...

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given query is to find series converges or diverges.

Q: The immigration to the United States from Europe, as a percent of the total immigration, is approxim...

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Q: 2y" – 3y" – 3y' + 2y = (e" + e¬²)²

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Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

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Q: 1. Suppose that g(x) > 0 for all r, g(x) has a continuous derivative, g(-2) = 5 8 g(4) = 3 and | g(x...

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Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

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Q: Use the four-step process to find f'(x) and then find f'(3), f'(4), and f'(6). f(x) = 14 x+8 f'(x) =...

A: Given :f(x)=14x+8

Q: Consider the line which passes through the point P(5, 5, -5), and which is parallel to the line x = ...

A: Equation of the line :       x-x0a = y-y0b = z-z0c=k ; where x0,y0,z0 is a point and a,b,c is the di...