Ryan kustin

A balloon, 50 feet from an observer is rising at 20 ft/sec. At 5 sec after lift off, a)how fast is the distance between the observer and the balloon changing? b)How fast is the angle of elevation changing. I just need to know what formals to use. I know t...

10 years ago

gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the...

10 years ago

Use this observation and the linear approximation to estimate (15.9)^1/2 I know the answer is 3.9875, I just need someone to explain the steps so I can do problems similar to this one.

10 years ago

the population of deer in a certain area of cabarrus county grows proportional to itself. the population of deer in 2000 was found to be 45, and by 2008 the population had grown to 65. Find the growth constant k(rounded to 6 decimal places), and the expec...

10 years ago

a bottle of water with temperature 70 F is placed in a refrigerator with an internal temperature of 34 F. After 30 minutes, the temperature of the water has decreased to 52 F a)Give the cooling constant k(6th decimal place), and find an expression for the...

10 years ago

The half-life of Kryponite-123 is 40 years. Suppose we have a 700-mg sample. Find the decay k, and the expected amount of Kryptonite left after 30 years. I need help setting this problem up.

10 years ago

Consider the following function f(x)=x^2/[x^2-9] f(x) is increasing on the interval(s) f(x) is decreasing on the interval(s) f(x) has 2 vertical asymptotes x= f(x) is concave up on the interval(s) f(x) concave down on the interval(s) I've been stuck on th...

10 years ago

Suppose the derivative of a function f is f′(x)=(x−5)^3(x−3)^4(x+18)^8. Then the function f is increasing on the interval Can anyone please help me with this problem. It seems simple, but I just do not understand it.

10 years ago

Thanks for your help, but sorry, I'm still kinda confused. I'm not sure how to find x. Do I need it to solve for z. z^2 = 50 ^2 + x^2 Sorry if this is a silly question

10 years ago

How did you get "dh/dt = 135/(100π) ft/hr?" That's the only part I'm confused about. Thanks for your help btw.

10 years ago

oh okay, I ended up getting .43ft/hr. I'm 99% sure that's the correct answer. Thanks for clearing that up for me, I'm really sucking at related rates, so I'm doing all the problems I can.

10 years ago

wow, I actually did it right, I got .045 for k, and p(t) = 89.67. I can't believe I actually did this problem correctly, I hope.(crosses fingers)

10 years ago

I meant .046 not .045

10 years ago

I got 89.67 by using 45e^(ln(65/45)/8*15)

10 years ago

for part a I got k = -.023105, if this isn't correct, can someone explain what I did wrong? how do I now find p(t)?

10 years ago

Can you please explain what you mean by when f'(x) > 0. I know you should be able to just graph it and see when it's increasing and decreasing, but for some reason I cannot get the correct answer. Can you please explain increasing and decreasing, concave...

10 years ago

Thank you for my help. Can you explain what to plug in to get the answer? My calculus teacher told me this is one of the harder problems, and it wouldn't be on the final. Despite this, I'm still really lost on exactly what this question is asking. This is...

10 years ago

I plugged in 8.64 * 4.4+.5(pi8.64^(2/4)), I'm sure that's how you find the solution

10 years ago

Oh okay, I guess that's what I was doing wrong.

10 years ago

Hey, I went back and got the exact value, because the answer isn't coming out correct on the practice program. I did 15.5(8.637013338)-.8973009183(8.637013338) and I got 126.1237067 and that is still incorrect. I'm not sure what error I am making. I hope...

10 years ago

Whoops I forgot to square the second part, but it still did not produce the correct answer I got 66.9.....

10 years ago

Hey, Damon, can you please look at my reply on my problem?

10 years ago

Let x be the width and y be the height of the window. So the radius of the semicircle at the top is r=x/2. The perimeter 31=x+2y+πr . So x+2y+πx/2=31. Solve this equation for y. The area A=xy+12πr^2=xy+1/2π(x/2)^2. Eliminate y from A by substituting y by...

10 years ago