Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2 cos 2x 2 -3 sin 3y-3 2x+3y. Find dy

Q: Classify the following ODE's with respect to order and linearity. a. 3x-y' - 5y = 7x³ - 8x+1

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Q: Evaluate the following limit, if possible. If the limit c 4 lim 42-√√

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Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given :Hight of a ball in t isf(t)=-16t2+374t+15

Q: Given v (2, -9) and w = (7,-8), what is 2w - vv

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Q: 1) If y = (x − a)√2ax - x² + a² sin−¹(*—ª),t ), then y'= 2√2ax-x² a is constant.

A: As per instructions, Here is the answer of question 1

Q: 3. coth 3x dx

A: To evaluate the integral.

Q: yı y' = 2x +2y +1 3x +y -2

A: We can solve the given differential equation .

Q: A real estate firm estimates that the value of a certain property will be given by the function 517…

A: To solve the following problem

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + C.

A: Orthogonal trajectory

Q: Evaluate the improper integral or state that it diverges. Ĵ 5dx Select the correct choice below and,…

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Q: 22. =2x²-3x+1 at (-1, 6)

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: Evaluate the integral. SSS_* √x² + z² av E where E is the region of integration bounded by the…

A: To solve this put x=rcos(theta) And z=rsin(theta)

Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Concept: The standard form of the polar cone r=a(1-e2)1±esinθ Here e is the eccentricity When the…

Q: I. Determine the convergence of each of the following series using the indicated test. In number 4,…

A: The given series   ∑n=1∞(-1)nn+3

Q: 1. Let 1 + x = +0 (-1)^ xn no Find a power series representation for 1+3x²

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Q: Please graph the function of D(t)= 28sin(360/365 t - 1.4)

A: Let's graph the given function.

Q: Given Cost and Price (demand) functions C(q) = 110q+45000 and p(q) = -2.7q+800, what profit can be…

A: Given cost and price (demand ) function C(q) = 110q+45000 and P(q)= -2.7q+800q, what profit can be…

Q: Integrate the following (3x + 5)dx 1. S (x - 1)(x² - 1) -

A: Given:∫(3x+5)dx(x-1)(x2-1)Perform Partial…

Q: Analyze and sketch the graph of the function. Determine the critical numbers, inter- vals for which…

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Q: A real estate firm estimates that the value of a certain property will be given by the function V…

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Q: 48-50. f(x) = 3 1 5 x2-4x2-8x2 4

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Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

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Q: A company produces a special new type of TV. The company has fixed costs of $496,000, and it costs…

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Q: What is the the x-axis and the semicircle y = (4 - x^2)^1/2? 00 O 1 02 04 ONA x-coordinate of the…

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Q: Help

A: Please refer to the image below

Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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Q: nd price (demand) functions C(q) = 100q+43,700 and p(q) = 2q + 890, what is the marginal revenue at…

A: Please refer to the image below

Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 3% of the drug…

A: Administered durg dose = 70mg  Naturally disposing ability of the drug bt the body every hour is =…

Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? O 2/5 3/5…

A: We can solve this as follows:

Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.

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Q: The height of a projectile launched into the air is given by f(t)= - 16t² + 220t + 10, where t is…

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Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: Find the directional derivative of the function f(x, y) = √√√x + 2y at the point (2, 1) in the…

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Q: For the function defined as follows, find all values of x and y such that both fx(x,y) = 0 and fy…

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Q: In this problem we will prove one orthogonality relation used in Fourier analysis. a) Show that…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: B. Find the derivative of each of the following functions. 14. f(x) = x² + 5 3x + 2

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Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: A study indicates that the population of a certain town will be growing at the rate of p' (t) = 5 +…

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Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

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Q: Set up the integrals (No need to compute) for the volumes of solids of revolution by revolving the…

A: Given

Q: It is projected that the population of a certain town will be P(t) = 2t+4+³/2 + 5000 where P(t) is…

A: Rate of increase of population=P(9)-P(0)9-0

Q: A.The table indicates that a(1)= 2m/s. What does that tell you about the velocity B. The table…

A: Given

Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: Find two numbers whose difference is 128 and whose product is a minimum. X (smaller number) 64 64…

A: Given :difference of two number is 128

Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = -1.9q + 900, what profit can…

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Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: 2. Find the interval of convergence of the power series & 3x गय

A: