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: 29. Y = tanx 2x²+1

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Q: Q6/At what point on the curve y=x²+8 is the slope of tangent line 16? Then write the equation for…

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Q: F(t) = 3t4+413–2t²e? -2t2+1 - %3D

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Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

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Q: The equation that describes the volume of the conical shape RELATES the quantities : volume, radius…

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

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Q: Find the point on the curve y = V4x + 5 which is closest to the point (7, 0). Round to at least 3…

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Q: 1. Let the sequence defined by (5" +7") be given. Show that the sequence is (a) bounded and…

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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: 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: Find the equation in slope-intercept form of the line tangent to f(x) = 4x² + 4x − 9 at x = 3 . The…

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Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: How are derivatives and second derivatives used to solve an optimization problem?

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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: y=C1e³x + C2e¯ 2x + x

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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.