Suppose that the revenue (in dollars) from the sale of a product is given by R = 50x + 0.6x² -0.001x³ where x is the number of units sold. Find each indicated derivative. R' = R" = How fast is the marginal revenue MR changing when x = 10? Need Help? Read It

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A: limθ→π2 1-sinθ1+cos2θ

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A: Remember :  cos(2x)=2cos2x-1⇒cos2x=1+cos(2x)2 we have to find  ∫-ππcos2(9x)dx

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A: We can find Gross pay .

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A: We need to find rate of change.

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A: Here is the solution

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A: Given problem:- fx=xe-x

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A: We can find the answers as below.

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A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

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A: Given rt=cos2ti+sin2tj+2lncostk,    0≤t≤π4

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A: Using differentiation

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A: Solution is given below:

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A: We can find the answer as below.

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Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

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A: The graph of f(x) is given in question and we want to find the right hand limit of f(x) ar x= -2

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Q: pls

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Q: OMSDAY SITUATION The population of of rabbits introduced onto an isolated island is giv- P(t) = 72…

A: Given population of rabbits P(t)=729-t 0≤t<9 where 't' is measured in months.

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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Q: F(x)=7x1-9 and a.) f(q (1)) b. g (F(1)) c. f(g(x)) D. g (f(x)) e f ( t) g (t) g(x) = 7 (MJ.

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A: Given :

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A: We can find the limit as below.

Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 3) lim 8-π/21+cos20

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Q: 10- x - x² if x ≤ 1 2x - 3 if x > 1 Calculate the following limits. Enter "DNE" if the limit does…

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