Use the washer method to determine the volume of the solid formed when the region bounded by y = 3√√x, y = 0, and x = 4 is rotated about x = 4. y 51 4+ 3₁ 1 2 3 4 5 X

Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

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Q: 15

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A: Please see the below picture for detailed solution.

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Q: b) lim x² +8x+16 X-1 x²-16

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

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Q: 29. Determine the average rate of change of the function over the domain graphed. y -4 20 (-3,-5) 2…

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Q: Let f be the function given by f(x)=sin(2x)cos(1+x). What is the average value of fon the closed…

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Q: In which limits below can we use L'Hospital's Rule? 1- eª x+0 sin(6x) Olim lim I→∞ lim I→0 lim x →∞…

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A: Consider the graph between two curves. To determine the set up of integral  that represents the area…

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A: The base is the region bounded by y=7−764x2 and y=0. And every cross section parallel to the x-axis…

Q: Evaluate the integral. 6e6t ¹+12° +35 S- 12t dt

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Q: 2 Functions f and g are defined by f(x)=2(3+1)₁³ ,x+0 and 1 g(x)==-=-3₁ X≠3 respectively. (a) Find f…

A: The given functions are:f(x)=23+1x ;    x≠0       and        g(x)=1x-3 ;     x≠3

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A: Find the graph of y=fx and y=f'x.

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Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

A: Given f( x ) is continuous in the given domain If a function is continuois at x = a then limx→a-f( x…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

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Q: Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate this…

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Q: Solve the system of equations. x - 2y z = 6 -x + 6y-3z = - 18 2x-11y + 5z = 33 Select the correct…

A: Given equations x - 2y - z = 6 -x + 6y - 3z = -18 2x - 11y + 5z = 33

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A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

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Q: 15 sin ¹√2x dx = [

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Q: Solve the initial value problem for x as a function of t.. (t²-19t+90) dx dt x(t) = (Type an exact…

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Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

Q: Consider the following vector function. Find each of the following. r'(t) = = r'(0) r(t) = cos(t) i…

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

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Q: A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia Ix…

A: Solution is given below:

Q: Use the Method of Undetermined Coefficients to find a particular solution to the equation and the…

A: The given differential equation: y''+3y'+2y=4x2-3ex ; y0=9, y'0=5

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A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

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Q: 3. Evaluate the limit for the graph: lim f(x). x+1* y 4 2 01 -2 2 48 x

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Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

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Q: This was incorrect

A: The given function is; f(x,y)=ln(x3+y3).