Find the volume of the solid with the given base and cross sections. The base is the circle x² + y² = 49, and the cross sections perpendicular to the x-axis are triangles whose height and base are equal. (Express numbers in exact form. Use symbolic notation and fractions where needed.) V =

Q: y (az + √2) sin (ay²) dy + (az − √√2) dz = 0 4√2 ln az + √2 = C 4√2 In az + √2 = C 4√2ln az + √2 = C…

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A: 15.6+16.7+17.8+.............+1n+4n+5=n5n+5 To prove using mathematical induction, we use three…

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A: Topic- Average rate of change of function over interval

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A: Concept: The average rate of change : The average rate of change function explains how quickly…

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A: This question can be solved using the concept of tangent and normal.

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Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

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A: This is  a problem related to integration of polar coordinates.

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Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…

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Q: II. Given a piecewise function f(x) = 2. 2x² + 2x " X log₂ (x − 1), x<-2 −2 < x < 2, x‡0 x ≥ 2. 1.…

A: The given piecewise function, fx=2,x&lt;-22x2+2xx,-2&lt;x&lt;2, x≠0log2x-1,x≥2

Q: - 1. Find the derivative of the following functions. f(x) = (Inx)* a. b. I (x) = x43-2x

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: If the odds in favor of E occurring are 2:7, then to find PE and PE'.

Q: 2. √a²-x² dx x2

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Q: The graph of a function h is given. domain -6-5-4 -3 -2 range y 5 (a) Find h(-2), h(0), h(2), and…

A: As per guidelines we can answer only three subpart questions at a time so if you need more answers…

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A: We have to find the limit of the given sequence.

Q: e. f. f(x) = cot(-) cot(-) I f(x) = sin(x³ - x)

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And the common…

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Q: The y-coordinate of the vertex of a parabola that opens up is called the _____. minimum value…

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Q: Find an explicit formula for the general term  an  of the sequence. 1, −  1 3 ,   1 5 , −  1 7 ,…

A: We have to find the formula of general term.

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

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Q: a. d. 1 =x+2 y = 1 --x+2 y = -x + 2 * 1/2x-2

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Q: Evaluate the integral. 3π/4 45) ³7/4 4 sec 0 tan 0 de -π/4

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Q: Use l'Hopital's rule to find the limit. (√x² + 4x - x) 51) lim X→00

A: Given; Limx-infinity [sqrt(x2+4x) -x]. Repost the next question.

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Q: The graph of a function f is given. Use the graph to estimate the following. y W 2 3 (a) All the…

A: We have to find the local minima, maxima and monotone intervals.

Q: a) Determine the continuity of f(z) at z=2i where z² +4 f(z)={z-2i z - 2i, if z # 2i, if z = 2i.

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Q: Which one of the following equations could work for the following graph? y = 5 y = -5…

A: To find,  the equations could work for the given graph.

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

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Q: D Question 13 Find f'(x) if f(x) = arctan(lnx). O f'(x) O f'(x) = 1 a sec² (In x) 1 1+ (In 2)² 1 a…

A: To find f'x if fx=arctanln x.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

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: 3) Find the sum of the series (x-8) as a function of x on the domain, and say what the domain is.…

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