Use variation of parameters to solve the given nonhomogeneous system. dx dt dy dt (x(t), y(t)) = 2x - Y = 3x - 2y + 9t

Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

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A: Solution: The Graph is made with a cylinder and cone.

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A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

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A: We need to find approximate value.

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A: Given query is to find the cost at production level 14.

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A: Please see the below picture for detailed solution.

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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: (a) find vectors 30 and +2 (b) find lu + 2√1

A: The answers are given below:

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Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

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Q: 8 3s²+12 + 3 $²+49

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Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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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: lim (x,y)→(0,0) 1 - cos(7xy) ху x-y lim (x,y)→(9,9) x4 — 4 - = m m www m

A: We need to evaluate limit.

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) 4t²5t+ 7 for all…

A: Position of particle p  is given as y(t)=4t2-5t+7  and position of particle Q  is given as…

Q: 3 A curve is given parametrically by y = 2t 2, x = t²-1. The area between the curve and the x-axis…

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Q: A ball of radius 15 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: Divide by g (y) to separate the variables: dy IP fi O dy || gt h = 7/²010 y de 9х = прто

A: ∫xndx=xn+1n+1+cgiven  dydx=x6ypasses through  (1,3)

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A: Given velocity, f(t) = - 32t + 281

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Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

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Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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A: Given:dydx+p(x)y=g(x)

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: 19 5-2 3s+5 + н 85

A: To find the inverse Laplace transform.

Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

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

Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: Find the parametric equations for the line described below. 1. The line through the point P(4, -4,…

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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