If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D %3D Ca) Find ul) (b) Find v (5)

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A: Topic = Derivative As per guidelines ,at  a time only three questions can be answered.

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A: Given:- f(x) =ex(8x2-3x)  To find :- f'(x) 

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A: This question can be solved by applying the concept of maxima and minima.

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Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: -r. r drd0

A: We have to solve the integration                                                      ∫0∞∫0∞e-rrdrdθ

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Q: Consider the given system: 2⁢x + y ≤ 20 3⁢x + 2⁢y ≤ 30 x, y ≥ 0 Graph the inequalities on your g...

A: Given: - The given system, 2x+y≤203x+2y≤30x,y≥0 To graph: - The given inequalities by using the grap...

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A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2 

Q: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

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A: Given query is to find the function is continuous or not at 4.

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A: Follow the procedure given below.

Q: Use Desmos to graph y = cos x, y = cos (2x), and y = cos x+ cos (2x) for x>0.Compare and contrast th...

A: We have to draw the graphs of y=cos(x) , y= cos(2x)  and  y=cos(x) + cos (2x)

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Q: xdx Evaluate: 5+x? A 21n(x2+5) + C B In(x2+5) + C © In x²+5 +C 2 D In Vx2+5) +C E) None of the given...

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Q: In Exercises 20–21, find a formula for the derivative using the power rule. Confirm it using differe...

A: NOTE: Refresh your page if you can't see any equations. . take derivative (using power rule)

Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We ...

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A: Topic:- application of integration

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Q: To determine whether a given series converges, it is important to first consider its form. Does this...

A: Given:  Statement: To determine whether a given series converges, it is important to first consider ...

Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 1...

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

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A: The given series,       ∑k=1∞(-1)k6k(k+1)

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Q: Consider the functions below. f(z) = V-1 %3D g(z) = r+1 Find each of the following, if possible. (If...

A: Given query is to find indicated function.

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A: This question is related to derivatives.

Q: Question 12. for the function f(x,y) = sin(x + y)? Which of the following is the best description of...

A: Given function is: f(x, y)=sin(x+y)

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Q: and xe"y %3D For ay

A: To find out partial derivatives.   

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A: We have to find the integral

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A: The given series is ∑k=1∞kln(k+2)  

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: If the region between the curves y=f(x) and y=g(x) and f(x)≥g(x) is rotated about the y-axis from a ...

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x2 - 0.002...

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