4 Suppose ff (x) dæ = 5 and f g (x) dæ = 1. Evaluate f (4 f (x) + 4 g (x)) dr.

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A: Here the given function is

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Q: 4. Evaluate the integral. (a) (2r-4r + VE) dz + 4x) dr

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Q: 4) Consider the ellipse x? – xy + y? = 3. From all points (x, y) of this ellipse, find: 1. the ones ...

A: 1. Note that the smallest and largest value of y occur when dy/dx =0. Taking derivative on both side...

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

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Q: If f(n)(0) = (n + 1)! for n = 0, 1, 2, .. find the Maclaurin series for f. %3D Σ(1 n = 0 Find its ra...

A: For n=0,1,2,3..., we have The Maclaurin series for f is

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Q: Suppose that a = 0.5 mi, vo = 9 mi/h, and vs = 3 mi/h as in Example 4, but that the velocity of the ...

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Q: 4. Determine all possible functions f(x) that satisfy the given conditions. (a) f'(x) = V¤ – 3 x2 (b...

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Q: Use L'H to find the limit at x \arrow 0: arctan(5x)/x   x-->0

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Q: The graph of f is shown in the picture. Ул f 1. 4 Use the graph of f to calculate f(t) dt. Give a fu...

A: Area above x-axis is positive and below x-axis is negative. So, We will separately calculate area fr...

Q: In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate f...

A: Let the two numbers are x and y So, y-x=50 And, y=x+50   We have to minimize z=xy z=x(x+50) z=x2+50x...

Q: P(x)%3D2X³ - 3x² - 2x+3 P(x)%3x³ -7x² +17x-15 P(x)= x* - 2x – 2x² – 2x- 3 2х

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Q: 7. Find the indefinite integral. (a) / 3 cos(") dz /32c0 31 dr

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) = cos...

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Q: 1. Consider the function g(x) = . (d) Find the intervals where g is increasing and decreasing. Give ...

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Q: How did I integrate improperly?

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Q: 3. You are in charge of selling concert tickets at an arena that seats 10,000. Tickets for each seat...

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Q: Problem 2: Prove that if w1, w2 are any two complex differentiable functions, then (wiw2) dwi д2 dw2...

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Q: Estimate the area under the graph of f(x)=5 root x from x=0 to x=4 using four approximating rectangl...

A: a = 0; b = 4; n = 4; Width = Δx = (b - a) / n = (4 - 0) / 4 = 1  

Q: Suppose a parametric equations for the line segment between (5,2) and (7,8) have the form:  x(t)= a+...

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Q: In each problem determine if L’Hospital’s Rule applies by indicating the appropriate indeterminate f...

A: Given limit is Since value of arctan(0)=0 , so it is of indeterminate  form (0/0),  Therefore, By L...

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Q: MA is decreasing. f(x) = x°7°(x+2) 3/5 Find the local maxima. Select the correct choice below and, i...

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Q: Compute this limit to infinity, no lhoptials rule   limx→∞ of x−sqrt(2x^2+ 1).

A: We have given limx→∞ of x−sqrt(2x^2+ 1).

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Q: Find a Cartesian equation (i.e. (x,y) form) for the curves and identify it (if possible).

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Q: 6. (a) Find the lengths of the sides of the triangle with the given vertices (-1,0,-2). (-1, 5, 2).(...

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Q: Let z = x"y . If x increases by 2% and y increases by 3% then using partial differentiation theory f...

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Q: Solve inequalities f (x) < 0 where f (x) = (x + 4)(x + 1)*(x – 2)°(x – 3)(x – 7)æ %3D Divide the x-a...

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Q: AutoSave ff Document3 - Word Tran Manh Hung TM File Home Insert Design Layout References Mailings Re...

A: We find the limit of the nth term as n approaches infinity.  

Q: Graphs of trigonometric functions

A: The graph of the given trigonometric function is given below.

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x³ - 3x2 -9...

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Q: The function f(x) : 2x° + 39x? – 216x + 8 has one local minimum and one local maximum. This function...

A: Given equation is Firstly, we find critical numbers of f by setting f'(x)=0 and solve for x

Q: Use the Ratio Test to determine whether the series isconvergent or divergent.

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Q: 7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain. 1...

A:         We have

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Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 8 10

A: Put different values of n from 1 to 10. We will get the series.

Q: (1 point) Let f (x) = 5x² + 1. Evaluate f(-1+h) – f(-1) lim (If the limit does not exist, enter "DNE...

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Q: Water is being added to a pool at a rate of r(t) = 20-t L/min. How much water is added to the pool b...

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Q: 9. Solve the following exponential equation using factoring. 320 – 5. 3" – 36 = 0 Show your computat...

A: Let  Then plug it in the given equation and solve for z by factoring.    

Q: See image below.... Can you please show me how to get to the answer "21/2"?

A: Given,  

Q: Find a polar equation for the curve represented by the given Cartesian equation.

A: