Test following ODES for exactness. If exact, find General solution. Do detailed Curve Sketching analysis (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local maximum and minimum, Concavity and points of Inflection, Sketch the function/ Plot the graph) of solution. Choose value of constant of integration on your own. - dt +dy = 0; y(2) = –2 a.

Q: Determine when the velocity equals 0 for an object whose position function is defined as f² = 2t+…

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Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept. (b) Graph…

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Q: A poster is to have an area of 180 in? with 1-inch margins at the bottom and sides and a 2-inch…

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Q: S2 cost dt

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Q: Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one…

A: The given function is

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

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Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: xy(dx-dy) = x²dy + y?dx; when x = 2, y = 0

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Q: Find the average rate of change of the function f(x) Average rate of change = Give exact answer! =…

A: Given,            The function is fx=2x2-3x+1, on the interval x ∈ 0,1.To find : Find the average…

Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Find y' for the function. (y-4)²-3x² y br |5

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Q: (x2-3)2 V4x+b simplify the first derivative. Show your work and justify your answer. 1-Determine the…

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Q: 22. y = sec 4(4+x³) 5

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Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

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Q: Draw 1st & 2nd derivative charts. Identify extrema & inflectionn points. y = x2 + 2/x

A: Consider the function,

Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

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Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: y = 1 a(a²+3) (a-x), where a > 0 forms a triangle in the first quadrant with the - and y-axes. (a)…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.