An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. 1...

An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. 1...

An object is moving in a straight line from a fixed point. The displacement s(in metres) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. Find...

Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...

You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?

how to solve integration of (3x+5)^4

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

If f(x) is a function such that f(x) + f''(x)=0 and g(x)= (f(x))²+(f'(x))² and g(3)= 8, then g(8)= ?

how do you prove that the derivative of x^n is nx^n-1

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...

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

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...

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...

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

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

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 ∫ x f(x) dx =

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...

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

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...