16. The equation of motion of a particle is =t-2t + t -t, where s is in meters and t is in %3D seconds. (a) Find the velocity and acceleration as functions of t. (b) Find the acceleration after 1 s. (c) Graph the position, velocity, and acceleration functions on the same screen.

Q: Q1: Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 +…

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A: At given value of x find y Differentiate at given value Use equation of tangent line

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Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

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A: Topic = Algebra

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A: To find the interval in which acceleration is increasing .

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Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: 1.10 Find an equation for the tangent to the curve, y = x –x² at the given point, (–1,–2). y = -3x +…

A: We have to find the equation for the tangent line to the given curve.

Q: Question #2 Determine the value of so that the average rate of change of the parabola y = -2x + bx…

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Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points…

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

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Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Find an equation for the tangent to the curve at the given point. y = x2- 3, (-4, 13) Oy = -4x- 19…

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Q: 5 Find the equation of line tangent to the curve y= x+ y at point P(1,3) A 4x - y - 7 = 0 B None of…

A: Given that: y=x+5x

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

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Q: 4. Refer to the equationf(x) =acos 27 (+c) + dto answer the the question. Changing the…

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Q: EXAMPLE 6 Find an equation of the tangent line to the parabola y = x2 - 6x + 8 at the point (1, 3).

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

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A: Distance =S2 -S1

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A: We have to find the equation of the tangent.

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Q: 2x +1 Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2

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A: Let x= number of chirps  y= temperature So two coordinates are (140,80) and (120,75)

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Q: 6. Graph the line with the equation y= jx+ 1.

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Q: x2/3 + y2/3 = 4 %3D y' = Find an equation of the line tangent to the given curve at the given point

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