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: 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: 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 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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