dy 2 Use an appropriate substitution to solve the differential equation ==y=-x³y dx x 3.3

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A: f(x) be a differentiable function with the propertiesf(1)=8 and limx→∞f(x)=5.

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A: x0.5-1102142

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A: The given polar equation is

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Q: +2w||.

A: u=<1,2,3>, v=<2,2,-1>, w=<4,0,-4>

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A: Using integral test of convergence, we can write this as

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A: Given:V(x)=108x-27x23

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A: Since you have posted multiple questions so as per our Q&amp;A guidelines we will solve the first…

Q: 1. Solve the system of equations algebraically: y = 2x² - 4x+5 x² +2=y

A: The given equations are: y=2x2-4x+5 y= x2+2

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Q: The graph of f (x) is shown below. Find: f(x)dx 1 1 -1. G www ... 13 10 ........ f(2 40

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Q: Calculate the following iterated integral. L (L xydy) dx =

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A: To find:-

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Q: 2. Solve the following initial value problems: dy a) + 2y = 3, y(0) = 1 dt dv

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A: we need to find out the indefinite integration.

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Q: (Technology NOT permitted) Consider the differential equation: 1 2R(5-R) dT dR (a) Given that T=0…

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Q: Q2) Evaluate the following integrals: a. f√√x6 dx b. f(2 + 1/2 + sin x)dx c. f (1-x)(1+x) dx 1-x² d.…

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Q: Find the equation of the line tangent to the curve y = x³ - 2x² - x + 2 at point x = 2 on the curve.

A: The slope of the tangent line is calculated as follows at

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