Find equations in x, y (ie. eliminate the parameter) and sketch graphs for the following: (a) x = 1 + 2t, y = 3t, 0≤ t ≤ 4 (b) x = 3+2 cost, y = 2 sint, 0≤ t ≤ 2π

Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: If f(x) = 4x² 2x + 3, find f'(4). Use this to find the equation of the tangent line to the parabola…

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Q: Direction: Translate the following notations into statements in terms of the area under the curve.…

A: LetI=∫212dxWe know that ∫abfxdx=-∫bafxdx, a<bThereforeI=-∫122dxTake constant outI=-2∫12dxWe know…

Q: b) Solve the following D.E to find y as a function of x: -3y=1-x²..

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Q: Q1) Graph the following functions : V4 – x2 ,-2<x<2 f(x) x – 2 , 0<x<2 (-(x+2),-2 <x<0 (1) (2) y=4 -…

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Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: 3- find an equation for the line tangent to the graph h(t) = t³ + 3t, (1, 4) %3D

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

Q: Determine the equation of the function y =a sin b(x-c)+d, where a <0 whose graph is shown below. (1.…

A: Here we can see it is a sin wave standard form of sin wave  y =a sin b(x-c) +d =a sin (bx) +dbut we…

Q: the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps…

A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

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Q: The equation x²/3 + y?/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b.…

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Q: Express x y = = In(8t), y 4t in the form y = f(x) by eliminating the parameter.

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