15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y² = 4ax and y = x.

Q: 21. a. e x = sec sin z sin z) (e sin b. Ve Cos 2sinz 1 U e sin z COS d. cos x √1-e2sinz

A:

Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

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A:

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A:

Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

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A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

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A: We have to sketch the function.

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A: We are asked to find the surface area of the portion.

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A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…

A:

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

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A: Given: 121y''-4y=0

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A:

Q: Solve given differential equation. (2y+t)dy+ydt=0

A:

Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

A: given function is a parabola for reference

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

A:

Q: Find the general solution of the following differential equation. 121y" – 4y = 0 NOTE: Use c₁ and c₂…

A:

Q: For f(x) = 3x4-12x³ + 2 find the following. (A) f'(x) (B) The slope of the graph of fat x = -2 (C)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

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A:

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A: we have to check sequence is convergent or divergent.

Q: 1 好好 0

A:

Q: Find of 3-(-1)" the Set of sequential limits

A: Given;  3-(-1)n.

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A: Cost of membership plan = $40 Let No.of driving hours = x

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A:

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A:

Q: Use the graph to match the integral for the volume with the axis of rotation. (a) V R O (i) (ii) (b)…

A:

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A: .we are asked to find the rate of change of area of the square.

Q: A) Find the first five partial sums of the given two series and determine whether they appear to be…

A: Let's find partial sum.

Q: -10 -9 8 -6 -5 -4 -3 -2 5 3- 2 1 -1 0 -1 -2 -3 + -4 -5 1 2 3 6 4 20

A: We have to find the value of the given definite integral according to the given information

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

A:

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

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A: Given: Volume of right circular cone is V= πr2h3 and dVdt=30 cubic feet per minute To find: dhdt

Q: sin a Given: f(x) 2x ' k, { if x #0 if x = 0 What should be the value of k so that f is continuous…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Which value is the average rate of change for f(x) = √x + 1 o the interval (0,3)? 13 0 -1 -3 3

A:

Q: 00 Evaluate Σ n = 1 1 n(n + 1)(n + 2) Hint: 1 n(n + 1)(n + 2) = 1 2n n+ 1 I + 1 2(1₁²+ 2)).

A:

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: 2 [ 2e sin de

A:

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A: Given thatvelocity vt=t2+2t-8To find : The total distance the partical travels from t=0 to t=3…

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A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

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A:

Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². a) Find all the first partial derivatives of the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

A:

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: Question 32 Find the average rate of change for the function) f(x) = x² + 7x from 1 to 4. 12 desmos…

A:

Q: i) Use the change of variables formula and an appropriate transformation u = y - x and v = y + x to…

A:

Q: Question 3 (a) (b) Find the area of the region bounded by the curves y = x²(x ≥ 0), y = x² (x ≥ 0)…

A:

Q: Q[1]: Given the function shown below, evaluate the following: (a) lim f(x) x-2' (b) lim f(x) x-0 (c)…

A: Graph of the function f(x) is given, we have to find the limit at x=-2, x=0 and x=2