So I struggle with optimization and we were given a problem and I have no idea on how to do it and I could really use some help please. So a person wants to ship a lot of packing peanuts but they...

So I struggle with optimization and we were given a problem and I have no idea on how to do it and I could really use some help please. So a person wants to ship a lot of packing peanuts but they...

Hi, I just need to know if my explanation is ok. I think the question might be on my test tomorow. It asks to prove that f(x)= x^3+3x^2+6x has one real root. My explanation: f(1)=10>0 f(-1)=...

What are the dimensions of the biggest possible volume (absolute maximum) of a triangular prism given the length and girth must equal 108 inches? Thanks! I struggle with optimization to...

Ross-Simons Company has a monthly advertising budget of $80000. Their marketing department estimates that if they spend x dollars on newspaper advertising and y dollars on television advertising,...

According to the data from a company, the marginal revenue of a product (in billions of dollars per year) is approximated by 3.91+0.07x+0.018x^2, where x=0 corresponding to 1986. What is the...

lim as x tends to 0+ (x^1/2)(lnx)

Hi, Im having trouble proving this. I only got half way through proving it. Its the Rolles Theorem part Im having trouble with. So first thing I did was show that there is a root by the IVT. f(0)=...

(a) f(x) = x2 - 2x from x = -1 and x = 2 (b) f(x) = 1/x - 1/e from x = 1 and x = e2

a rectangular closed box of height h with a square base of side b has a volume V = 64m3 . the two squares bottom and the top side are made of material cost $20/m2 and the remaining sides cost $10/m2...

An ice cube that is 15 inches on each side is melting at the rate of 1.5in3 per minute. How fast is the length of its side decreasing

Liquid is flowing out of the funnel at the rate of 12 cm^3/sec. At what rate is the height of the liquid decreasing at the instant when the liquid in the funnel is 20 cm deep? Related...

The radius of the spill increases at a rate of 8 m/min. How fast is the area of the spill increasing when the radius is 8 m? Related Rates of AP Calculus!!!!Please help!!!!!

The radius of the crowd increases at a rate of 6 ft/sec. How fast is the area taken up by the crowd increasing when the radius is 14 ft? Related Rates of AP Calculus!!!! Please help!...

The radius of the pool increases at a rate of 5 cm/min. How fast is the area of the pool increasing when the radius is 5 cm? Related Rates of AP Calculus!!!! Please help!!!

If the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s=10 km, what is the horizontal speed of the plane? Related Rates...

The lamp on the post is 5 m high. How fast is the length of the persons shadow decreasing when the person is 3 m from the post? Related Rates of AP Calculus!!! Please help!!!!

How fast is the surface area shrinking when the radius is 1 cm? V=4/3piR^3 and S=4piR^2 where V is the volume and S is the surface area, R is the radius. Related Rates of AP Calculus...

How fast is the water level dropping when the height of the water is 3 cm? Related Rates of AP Calculus!!!Please help!!!

Hi, I need to sketch the graph for y=x(4-x)-3lnx . It asks for the domain,x and y intercepts, asymptotes, 1st and second derivative to find critical points. How do I find all...

lim as x tends to 0 ( xlnx) I know that in order to do hopital rule it has to be in quotient rule. How do I turn xlnx into a fraction ?

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