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Q: Test the series below for convergence using the Root Test. 2n +1 3n +4 The limit of the root test si...

A: Given ∑    n=1∞2n+13n+4n We have to find f(n) , limit and we have to check that series is converge o...

Q: 102 /sin?xcos (2x)dx

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Q: 11. If 16% less than a certain quantity is 441, find the quantity. Ans. 525

A: 11. Let the certain quantity be x From the given statement x-16% of x=441

Q: Me

A: ∑n=9∞  1n13-2 comparing with ∑n=9∞  1n13limn→∞ anbn = limn→∞  n13n13-2= limn→∞  11-2n3= 1lim > 0 ...

Q: The volume of a solid bounded by the equations z=x2+y², y=x-2, y=x1/2 , y=0 and the x-y plane is giv...

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Q: f(x+h)-f(x) = 2xh+h^2 -3h compute and simplify  f(x+h)-f(x)/h

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Q: Determine wheter each of the following functions is (a) continuous (b) differentiable. Show a comple...

A: Topic:- function  

Q: Express the following in Partial fractions 9x2 + 48x + 18 (2x +1)(x2 + 8x + 3) Question

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Q: dt 1. cos (2 sin 2r) V1-4r

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Q: Volume of a cylinder: V = ar²h Area of the sides: A = 2arh Area of the top/bottom: A = Tr?

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = x + 6x - 7

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Q: state the definition of the derivative for 8-7t please help! I need first part

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Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

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Q: Find all local extreme values of f(x) 12z 50.

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Q: The average cost (in dollars) incurred by a media company each week in pressing x compact discs is g...

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Q: (2x³ -x²y + y³)dx – x(2x³ + y³ )dy = 0

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 Σ k(k ...

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Q: f(x) = 8 +3/x f'(x) =D f'(1)=D (Simplify your answer. Type an exact answer, using radicals as needed...

A: f(x)= 8+√3x  Find f'(x) , f'(1), f'(2) and f'(3) 

Q: 9. S e*(3 – 2e?)²dx

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Q: Consider the following equation. xy + 2x + 3x² = 8 (a) Find dy/dx by implicit differentiation. y' = ...

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Q: F+9 2x-(4+F) 4. Let f(x) = VBx -(F+5) h(x) = Vx + (k + 3+ F) and g(x) = . Answer 8+K the followings:...

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Q: 5. You started with a pool that was 15 feet by 20 feet. What is the area of the pool without the pat...

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: Given the function below f(x) = V-32a + 96 Find the equation of the tangent line to the graph of the...

A: given that fx=(-32x^3+96)^{1/3}

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

A: See the details solution in below

Q: Consider the function f(x) (-∞, A, A, B), (B, C), and C, oo) where A, and C are the critical numbers...

A: "As per our policy we can answer only 1st question, so please repost the other question as next ques...

Q: F(x) = / sec(1 + r*) dt. sin(x)

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Q: 8x*- Vx Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal pla...

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Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x? ...

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Q: A software company estimates that the number of copies x, measured in thousands, of its new applicat...

A: The given data is: 2px2+3px=52,000 To find dpdx.

Q: 31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to w...

A: We have to solve part a and b.

Q: 1 dx x2 + 1

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Q: Inventory cost A retailer has determined that the cost C of ordering and storing x units of a produc...

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Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

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Q: The given graph of the derivative f′ of a function ff is shown. Assuming the graphs continue in the ...

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Q: 1. Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (Vx – 1+ Vy +1) · In (x² + ...

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Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: (a) Adjust the window settings or zoom until you have a good view of the important pa Sketch the gra...

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. X = Vt, y...

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Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy ...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Topic:- application of derivatives

Q: ve the given boundary-value problem. (If an answer does not exist, enter DNE.) y" + y = 0, y'(0) = 0...

A: Topic:- differential equations

Q: Rewrite the integration in terms of u. 1 x cos 10rx² dx = COs u du Apply the constant multiplication...

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Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: 56. Slopes on the graph of the cotangent function Graph y cot x and its derivative together for 0 <x...

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Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: 2x +8 1 x² – 12 x lim X→-6 x + 6

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. k(k + 2)

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