a women is walking at a rate of 6 ft/sec across a bridge 40 ft above the water, a man in a boat is immediately below the woman on the bridge , at right angles to the bridge and at the rate of 4 ft /sec. how fast is the man and woman seprating at the end of 10 seconds
what i have figured out...
f(t) = 400t+70/t+1 represents the temp. in an oven and f(t) is in F degrees
first i used the quotient rule and got 330/(t+1)^2 = f'(t)
A) the rate of change in temp of the ove with respect to the time of 2 minutes after turnig the oven on and at 10 minutes
i pluged 2 and 10 in...
g(x) = (4+csc^2(3x))^2
this is what i got
1/2(4+csc^2(3x))^-1/2 * d/dx (4+csc^2(3x)
g'(x) = 1/2(4+csc(3x))^-1/2 (1+cot3)
did i go about this correct to get the answer or did i mess it up at the diretive part?
Am I goong about these two problems correctly?
A) F(x) = (xsinx)(cosx) find F'(x)
f(x)*d/dx(g(x) + g(x) * d/dx F(x) product rule
F'(x) = xsinx d/dx (cosx) + cos x d/dx xsinx
= xsinx*(-sinx) + cos x *(xcosx)
= -xsin^2 x^2 + xcos^2 x^2 is that right
B) F(x) = xe^x/ x^2 +...
The question is
fine a equation f(x) that has a vertical asymptotes of X=1and X=3 and a horizontal asymptotes of Y=1
A) (x-1)(x-3) / y-1 = x^2-4x+3 / x-1
B) (x-1) /(x-1)(x-3) = just the oppsite of above
is any of these correct?
I think B is correct but right now I can't...
I don't know much about it , and reading the scetion is difficult to understand. I have been going to math lab and looking for a tutor to assist me with my struggles. but at least i am on the right track.
You said that this function passes through 0. Do I need to pick a point greater than...
Can anybody help me get started on this the radical in the Numerator gots me lost.
F(x) = 3-sq root x / 9-x has a removable discontinuity at x=9. define a new function g(x) such that g=f everywhere except at x = 9 , but is continuous everywhere.
It has been at least 5 years since my last math class and I am kinda struggling.
The question is:
Use the intermediate value theorem to show that there is a root of ln x = e^-x on the interval (1,2). Find the correct root to 3 decimal values
What i have so far
f(1) = ln 1...
:confused: Suppose a firm in a perfectly competive industry is producing a output of 10 units. The firms total revenue at this output is $80 and its total cost is $30. The firms marginal cost associated with the 11 unit of a output is $12. What can i say about an increase in production should...
In this figure the path of the light passes from air to glass. Calculate the index of refraction
n1 = air = 1
n2 = glass = ?
Sin theta 1 = 30degrees
sin theat 2 is = 20 degrees
formula used n2 = n1*sin theta 1 / sin theta 2
sin of 30/ sin of 20 = n2 = 1.46 is this correct