Solve the following equations. 1. (xy + y²)dx-x²dy = 0

Q: 4, f(t) = { + ² + 2₁ 2, 0 ≤t 2

A: Given function:- ft=40≤t<2t+2t≥2

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Q: It is very unlikely that you will have the maximum efficiency. If the actual efficiency is 75% of…

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Q: Determine the intervals on which the given function is concave up or down and find the points of…

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Q: Evaluate the surface integral. J[ ² S is the surface x = y + 3z², 0 ≤ y ≤ 1,0 ≤ z ≤ 5 z dS

A: Here we have to evaluate the given surface integral where S is the surface x=y+3z2 , 0<=y<=1,…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

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Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: ind the producers' surplus at a price level of p = $63 for the price-supply equation below. p=…

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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…

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Q: 5. Which of the following differential equation is not Bernoulli b. y' = y(x-y)(x + y) a. y' = y√x…

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Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

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Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: Given: y2=4x+2y

Q: (D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O…

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Q: Use the Laplace transform to solve the IVP y" − 2y' + 2y = e¯t, y(0) = 0, y'(0) = 1.

A: To find the solution of given IVP.

Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: Question 5 (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp 1 2x + a. O b. O C. Cet + C с d. ce -X e 2 + C₂ e…

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Q: nterval of convergence for the power series Econvergence = n=2 n(x - 2)" 22n (Enter your answer as…

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Q: Find the critical numbers of f(x) = |x³ − 3x² +2| Enter the points in increasing order and enter N…

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Q: 2 cos² (0)=√3 c-

A: Given 2cos2( πθ ) = 3cos( πθ )let cos( πθ ) = u

Q: eliminate the arbitrary constant of   y = Ae^Bx+C

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Q: The​ demand, D, for a new rollerball pen is given by D=0.007p3−0.4p2+140p​, where p is the price in…

A: It is given that demand of new rollerball pen is given by D,  Where D = 0.007p3-0.4p2+140p  where p…

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: Find the first four Taylor polynomials about x = 0, and use a graphing utility to graph the given…

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Q: Evaluate fry³dx + x³dy, where C' is the rectangle with vertices (0,0), (6,0), (6,2), and (0,2).

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Q: Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits, the price per suit must be…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the cost function…

Q: B. Eliminate the arbitrary constants in the equation y = C₁e²x+c₂e³ +6e". Use (a) elimination method…

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Q: 5. [5pts] Find the power series representation of f(x) = ln(2+x²) around a = 0, and find its radius…

A: Solution 5) Start with the geometric series 1/(1 - t) = sum(k=0 to infinity) t^k. This has radius of…

Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR= -0.3x + 300, what is the…

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Q: If f(x) = x² + 6, g(x) = x - 8 and h(x)=√x, then f(g(h(x))) =

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Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

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Q: - r(t) = (81²)i + (5t − 2) ƒ + (81³) k at - at t = 7.

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: ya -8x + 16 7.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Question 10 (D2 + 5D + 4)y=3-2x, Find Yp O a. 11 X 3 O b. I 11 8 OC. 11 + O d. 11 X + 8 3 e. none…

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Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0≤x≤t. O A. O B.…

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Q: Solve the following with a calculator in the given interval [0,27]. Round values to the nearest…

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Q: Does the series converge or diverge by what test?

A: sn=∑n=1∞ lnnn+3=∑n=1∞…

Q: In Exercises 61-66, find an equation for each graph. 61. -2# 2# ÄA Af AA 3″ 5m 62. 63. -3m R/C bire…

A: Answer is in step 2.

Q: Determine whether f(x): = x² 1 x + 1 has a vertical asymptote or a removable dis- continuity at x =…

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Q: x² +1 (c) (Still: the function f is given by f(x) 1+z2.) What is the smallest area of a x² rectangle…

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Q: Compute the given integral. fre- 3x² dx +C

A: Given ∫xe-3x2 dx

Q: 5. y=12x-3 1-2

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Q: sin (z) h(z) - [N² h'(x) = (cos(t5) + t)dt culus rival

A: Given query is to find the derivative.

Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

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Q: (D3-5D2+8D-4)y= 2x, Find Y = Yc - Yp 1 a. O b. c+ciải tế giớ OC 12²³x²= + 12²x²5+ [²³²] + x³²50 -2x…

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Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 -sin 2x 15 -sin2x O c. 1 ➡cos2x 10 O d. 1 15 O e. none…

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Q: Convert the polar function f(theta)= 6cos(theta) to Cartesian coordinates and graph the function on…

A: Given polar function: fθ=6cosθr=6cosθ In polar coordinates: x=rcosθy=rsinθx2+y2=r2