Find the unique solution to the differential equation that satisfies the stated condition dy In(x) dx ху - with y(1) = 3

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A: The given data is: fx=ax lnxgx=lnx512x39hx=lnxeπ

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Q: . Find the polar equations x-3y+2=0

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Q: 2. (a) ( 5) Evaluate مل ) + رند tim → o+ ** * → + x inx - Sin x

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Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: Find the general solution of the following reducible second-order differential equation. Assume x, y…

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Q: Sketch the region of integration and evaluate the integral. 3 x² S S - 2x dy dx

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Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) :…

A: We have to use cylindrical coordinates in order to find the volume of thegiven region.

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Q: Find the derivate of this function]: a) f(x)= = e* b) f(x) = 6x²2x₁ F'(x) = c) f(x) = (6x - 5)(2x…

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Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 2+t and L₂: x = 1 + 4t, y = 3-8t, z = 5 - 4t are…

A: Solution is given below:

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Q: The First Gate Upon arriving at the first gate, you ask your computer to translate the riddle.…

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Q: Find the derivative of the function at the given number. f(x) = √x at 25 f'(25) =

A: To find the derivative of the function at the given number. fx=x at 25

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Q: Find the open interval(s) where the function is decreasing. f(x) = (x + 1)/(x - 4) typed answer…

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

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Q: 43. y = (2+x)√2+(2-x)², [0,2]

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Q: 1. Find the equation of the line: a. With a slope of-through the point (6,4) b. Through the points…

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Q: Let P(x) = F(x)G(x) and Q(x) 7 (a) Find P'(2). (b) Find Q'(7). y 15 + 3 2 1 - = N F(x) G(x) 3 where…

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Q: 6. What principal invested at 13% compounded continuously for 6 years will yield $9000? Round the…

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Q: For the following exercises, the vectors u and v are given. a. Find the vector projection w= proju v…

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Q: Consider the following. f(x, y) = 9x y A /2 sin(0) 1/2 ([ 0 r = sin 0 (a) Set up an iterated…

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Q: Evaluate each of the ff: In (-atari (e in (tone) do tanl cos²0 1. -2

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Q: 3. Use the limit definition of the derivative to find f'(x) for f(x) = 7x² + x.

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Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

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Q: Solve y'+y=ex, y (0)=1

A: Solution-