(A) Find the average profit per grill if 40 grills are produced. Ave. profit = Find the marginal average profit at a production level of 40 grills. (B) Marginal average profit = Use the results from parts (A) and (B) to estimate the average profit per grill if 41 grills are produced. (C) Estimated average profit =

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: x=(2x+35)^1/2

A:

Q: 30=3e^0.4t

A: Divide both sides by 3.

Q: 11^×=121 the solution is x=

A: Given -  11^x=121

Q: solve for t:   (1+(0.03/12))^t = 5

A:

Q: why do you have to minus (x^2sinx)/(x-tamx) in the beginning

A: We don’t need to do that.

Q: The population of beetles is growing at a rate of 5% each month.  The current population is 800.…

A: Given that the population of beetles is growing at a rate of 5% each month and the current…

Q: 6/x-1/x/x-1

A: Known fact:

Q: Solve for x  7^3x = 3(7^x)

A: Use the concept of algebra and logarithmic.

Q: solve for A, 1.35=[((1+A)^6-1)/A]

A:

Q: N(t)= 250,000(.494)^t When will 10 percent of the original amount of aluminum be in use? In years

A: The given equation is: Nt=250,0000.494t To find: When will 10 percent of the original amount of…

Q: H(t)=-4.9t^2+7t+2.5 how long will it take for the basketball to reach the gr

A:

Q: y= x^(3)/4, (3, 6.75)

A: y= x3 / 4Note that y is cubic in x.

Q: In a given community, the number of thousands of people infected with a strain of flu t weeks after…

A:

Q: R(p) = 600p - 6p^2 maximum revenue is 15,000 how many units are sold at this price?

A:

Q: 1/× + 5/2=1/4

A: Given expression is

Q: A drug was administered and the function is:  N(t) = 200(0.85)^(x-1), which represents the amount…

A:

Q: 5=/x=

A:

Q: 4/x=1/x^2+4x+5/x

A: The given equation is 4x=1x2+4x+5x. Solve as follows.

Q: R(x)%3 570xe^-0.001x

A: Given: Substitute x=1000 in the above expression.

Q: Solve for X.  37-x^2 = x^2

A: In this question , we can solve the value of 'x'.

Q: If the revenue for a company selling widgets at price x is R(x)=-10x^2+500x. Find max revenue and…

A: The revenue for a company selling widgets at price x is R(x)=-10x^2+500x.

Q: solve 6^(x+3) = 2 for x

A: We take ln on both sides.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.