Which of the following limits could be evaluated using L'Hopital's Rule? Indicate all the apply. Select all that apply: 2cos lim x1 2sin (x)+9 x3-x+2 lim xt00 5r+8r2+9 lim -Se -0 4sin (7x) lim 2r+4x2+5x 1-0 6x-4x2+9x +6 lim 0t 6tan (x+

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A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.

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Q: y′=−2ex −2x2 +3x+6 y(0)=5 Solve the initial value problem above. Do not include "y=" in your answer.

A: Given that  y′ = -2ex -2x2 +3x +6; y(0) = 5.That is dy/dx = -2ex -2x2 +3x +6.dy =(  -2ex -2x2 +3x +6...

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A: The function is given by,

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A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola  

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A: Find the derivative of the given function.

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board