The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross sections perpendicular to the y axis are semicircles. Compute the volume of the solid. Use symbolic notation and fractions where needed.) V =

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A: The given functions are fx=x2+49 and gx=x4

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A: Solution is here

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A: The given integral is; 4/(x3-4x2+8x).

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Q: X

A: Slope intercept form of line  y=mx+b Here m=slope, b= y intercept

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A:

Q: 3. S (5y-4)dy y³+4y²

A: We know, ∫dx/x= ln|x|

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A:

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A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: Fill in The Unit Circle Positive: Negative: Positive: Negative: O O Positive: Negative: Positive:…

A: The unit circle is,

Q: 6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

A: In a triangle, the given measures are a=2, b=23, γ=30°

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A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

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A: We can answer the question as below.

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A: Find domain &amp; range

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A: We need to find volume.

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Q: D O O Question 8 Evaluate the limit limo 04 0 2 00 0/1/201 3 tan (+h)-tan (3) h by recognizing it as…

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Q: Consider the following function and point. x + 5 X-5 (6, 11) (a) Find the derivative of the…

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Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: Show

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A: I have stated the used formulas in the solution

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A:

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 3. If a polynomial…

A: We can solve this as follows:

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A:

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

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A: I have stated the used formulas in the solution

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A: Please see the below picture for detailed solution.

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Q: If f(x) = 1 - log5 x, then f-¹(x) =

A: Given that f(x)=1-log5 x , then our aim is to find the value of f-1 (x)=?

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Q: so which one is it 1, 2, 3, or 4?

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Q: (4x-1)dx (2x+1)Z 3

A: ∫(4x-1)dx2x+13/2 Let  2x+1=y ⇒ 2x=y-1⇒4x=2y-2⇒4x-1=2y-3

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n

A: To find the Fourierseries for the following functions.ft=sin t, -π&lt;t&lt;π

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A: