Use the binomial series to find the Maclaurin series for the function. 1 f(x) : (1 + x)5 Σ f(x) = n = 0

Q: If F(x) = f(g(x)), where f(-4) = 5, f '(-4) = 3, f '(4) = 1, g(4) = -4, and g'(4) = 8, find F '(4). ...

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Q: If g(x)=5*, then g'(2) is:

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Your stock market investment has a half life of 1 day. Your current investment is $10,000. You would...

A: Solution: after 1-day amount will be = $5000  

Q: 19. The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time 1 ...

A: We will find the current for t=0.5 s and 1 s.

Q: Suppose for a particular commodity, e = .25 and that currently 90,000 units are selling for $7 each....

A: This question is related to price and revenue functions, we will solve it using given information. 

Q: 3 y = 5 3/ 2

A: We have to find the second derivative of given equation

Q: COST OF DRILLING A 100-ft oil well is to be drilled. The cost of drilling the first foot is $10.00, ...

A: Given query is to find the cost of drilling the well.

Q: Let p be a polynomial of degree n and let E = { x | e^x=p(x)}.   Prove that the number of elements...

A: Given:   E = { x | e^x=p(x)}         E ≤ n+1 

Q: For f(x) = 2x - 4x + 3 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 4 (C) ...

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Q: Find the antiderivatives or integral of each of the following: Jsech 2tdt let u= du=

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Q: lollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p. p...

A: Please refer to the image below

Q: Solve the given initial-value problem. y" – 16y = 6, y(0) = 1, y'(0) = 0 y(x) =

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Q: HW. Given:= -2+i4, , =5+i3 .,=2-6 find (: +: Note: ex. =-3+i

A: If z1 =α+iβ  and   z2 =γ+iδ  ,then  z1±z2 = α±γ+iβ±δ. Note : We assume z3 = 2-6i

Q: Consider the function on graph. Analyze the continuity of this function (continuous or discontinuous...

A: Consider the function on graph.

Q: Solve the given differential equation by undetermined coefficients. y" – y = x2ex + 7 y(x)

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Q: (3y-2 Jdy y+2y+17

A: Topic:- integration

Q: 12 dr r3 – I

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Q: X-2 ppropriate. Felect the correct choice below and fill in any answer boxes in your choice. DA. lim...

A: Given query is to find indicated limit from the graph.

Q: e total cost and the total revenue (in dollars) for the production and sale of x ski jackets are giv...

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Q: de Ove -9

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Q: For a particular commodity, the demand function is q 300 - 15р. a. Find e when p = 10. Preview b. Is...

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Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet, an...

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Q: If f satifies f'(x) = x + x · f(x) and f(0) = 3, determine f. Note: f'(x) = y' f(x) :

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Q: Problem Solving REAL WORLD Alan is painting his deck gray. Use the diagram at the right for 5-6. Eac...

A: We can see that the are that has not paint is in white colour.

Q: a = 2î - j+ 3k b=i-sj+2k c = 4j-k (а) (b) (c) (d) Determine the sum of the vectors a, b and c. Calcu...

A: Given      a=2i ^-j ^+3k^  b=i^-5j^+2k^c=4j^-k^ We have to find sum of all vector , magnitude , unit...

Q: 1. f(x) = 2x3 – x* + 1

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Q: 49. Double declining balance depreciation. An office machine is purchased for $5200. Assume that its...

A: Given problem:- Double declining balance depreciation. An office machine is purchased for $5200. Ass...

Q: Consider the functions z = 6 e* In y, x= In (u cos v), and y =u sin v. Express dz as a function of u...

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Q: Cos (x) +ry =4 %3D

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Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) sec (x) dx

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Q: Find f(x) if y = f(x) satisfies dy 30ya? dæ and the y-intercept of the curve y = f(x) is 2. f(x)

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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: 102 /sin?xcos (2x)dx

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Q: 10. What is the equation of the slope of the line tangent to the function, f(x) = * 2 X_sin x´sin(x)

A: topic - equation of tangent of line

Q: Sketch the curve r 0 in polar coordinates for : i. (0 <= 0) (-0 < < 0) ii.

A: Given: - The curve r=θ in polar coordinates for: To sketch: - (1)θ&lt;=0 (2) -∞&lt;θ&lt;∞

Q: Identify the point (xo, yo) on the line ax + by = c that is closest to the origin. -(유) (хо, уo) %3D...

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Q: 8. For the following angle, state in which quadrant the terminal side lies. (It may help to sketch t...

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Q: pxp XA

A: Explanation of the answer is as follows

Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,...

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Q: т — 6 f(æ) x + 2 Find the interval(s) over which f(x) is increasing. f(x) is increasing for x in

A: Given the functionf(x)=x−6x+2

Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: How are each terms related to one another in the sequence 2 , 90 , 4 , 87 , 6 , 12 , 8 , 51 , 10 ?

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Q: 3x+2 2 dx find the first derivative 9x y

A: Given :y=3x+29x2

Q: Problem 9. Let f(x) = x5 – 10xª + 33x³ – 42x2 + 32x – 32 a. Show how to apply the Rational Zeroes Th...

A: Let's find. 

Q: Find an equation for the graph sketched below f(z) - Question Help: D Video Message instructor D Pos...

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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: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Find an equation for the object's displacement, u(t), in feet aftert seconds.

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Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

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