2 0 •√√2x-x² X √3 dydx √√√x² + y²

Q: E. Use separation of variables or linear differential equations to solve the following differential…

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A: Topic:- application of integration

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A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

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A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

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A: Given query is to find indicated limit.

Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

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Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3- 4 32 1 2 3 4 5 6

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Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: given  rate is  f(t)=3tinitial covers is  1200 acres∫tndt=tn+1n+1+c

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Q: Use Green's Theorem to evaluate √x + 4y, 2x + √ÿ) e fF. dr F = √ √√√x + 4 F. dr, where and C…

A:

Q: They say the answer is 3; 2/3 i - j + 2/3 k. (where the first part is the length and the second part…

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Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: (D2 - 3D + 2)y = ex, Find Yp -et O b. ex a. O-xex di xe O O e. none

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Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

A: volume of an isosceles triangle volume=0.5(b)(h)(w), where b is the length of the base of the…

Q: lim (cos(2x)) ¹/x²_ +0x

A:

Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: Find the roots of (D4 + D² + 1) +1+√³ 1 ± √√√3 1± √3 2 2 -1 ± √3 2 - 0 1 + −1+ - 1 ± i√√3 2 e. none…

A:

Q: (D³ - 4D²)y = 5, Find Yp 5x2 4 a. O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 e none

A: According to question,Given Differential equation,D3 - 4D2y = 5

Q: Given the graph of f(x) and the labeled areas, 15 find [ f(x)dx 5 A=14 B-5 12 15

A: We are required to find ∫515f(x)dx=? using the data given in the figure

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-6x, n = 3

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Q: Find the Taylor series for each function centered at the given value of a (assume that each function…

A: Given,           fx=sinx , a=π2To find : Find the Taylor series for each function centered at the…

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Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

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Q: Find the critical numbers and absolute extrema for 2x³ у . Type DNE if an answer does not exist. The…

A: The given function is y=2x3-39x2+216x on the interval 3, 10. We have to find its critical points and…

Q: (1) Evaluate or determine the definite integral: •5п a) | sint|dt, b) ₁dt, c) fe-tdt.

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Q: A university is trying to determine what price to charge for tickets to football games. At a price…

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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A: Given query is to find the slope of the tangent and the tangent line.

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Given that a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his…

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 11. Let f be the function defined by f(x) = [x – 2] for all x. Which…

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Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(x) = +... f(0) = -3, f'(0) = -1,…

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Q: B) If you consider the triangle formed by the ladder, the wall, and the ground, at what rate is the…

A: According to bartleby guidelines we supposed to do ythe first tyhree subparts of multiple subparts…

Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

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Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 O b. 1 4x e O d. 9 O c. 1 6 4x e ∙e 4x 1 18 O e. none e 4x

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Q: The demand curve for a certain product is given by p(a) = 535-q^2. The supply curve is given by P(q)…

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Q: Find the volume of a right circular cone with height 12 and base radius 6 using integration. V =

A: Solve the following

Q: Find the roots of (D4 +D²+1) Oa 1± √3 1± √√3 1±i√3 fro 2 O b. b − 1 ± √3¸ −1 ± i√3 2 2 2 EM=130 01 ±…

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Q: If what does the following integral equal? 18 |_ | [6f(x) + 4g(x) — h(x)]dx = 63 - 18 [ f(x)dx = 12…

A: