i have tried to understand this but i cannot and my homework is due at 6 pm! Please help

i have tried to understand this but i cannot and my homework is due at 6 pm! Please help

Calculus Question - Please help An object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at...

if y=log(1+tanx/1-tanx) then prove that dy/dx =sec^2x

if y=log(1+tanx/1-tanx )^0.5 then prove dy/dx=sec^2x

The answer which I got was (e^(-x))sin(x/2)-cos(x/2)(e^(-x)) However all the math solvers on the internet are giving different answers. Could you clear things up and tell...

(Hint for h to be maximum, dh/dt=0)

The length of a rectangle is given by the function l(t)=6t+5 and its height is given by the function h(t)=the sq root of t, where t is time in seconds and the dimensions are in centimeters. Find...

I', really stuck on this one HW question: I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0) equals: (d^2C/dz^2) + (Pa^2/D...

then âŤ x f(x) dx =

the problem is stated as above. I'm just not sure where to start.

A cable company is to connect cable to a house. house is located 3 km from highway, and cable source is located 20km down the highway from the closest point to the house. The cost to lay the cable...

A fitness club sells its memberships at a fee of $100/month. The club sells 30 memberships per month. CEO of this club estimates that every $10 discount in membership fee, number of users will increase...

So far I have: y=-2+5 y1 = (-2(x+h)+5-(2x+5))/h (-2-2h+5-2x-5)/h (-4x-2h)/h If I set h=0 it becomes -4x/0 which...

Suppose that the demand of a certain item is x=100e^(â0.02p) Evaluate the elasticity at 40:

A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary...

So I was trying to find a solution to some unusual integral. Let say int(e^(sinx) dx). And then it came to my mind that it might exist a well defined function of x, f(x), such that lim n-> infinity...

A plane flying horizontally at an altitude of 4 mi and a speed of 465 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing...

Take the above function. If x=1, the velocity is 0 and position is -22. FInd v(t) at any time. Find x(t) at any time. I have no clue how to answer this. Absolutely no...

Two corridors 3m and 4m wide meet at right angles. Find the length of the shortest thin straight road that can pass horizontally around the corner.

VOLUME : A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 cm...