If f(t)= ⌠1/t (1/x)ln(tx) dx 1/T⌡ where...

If f(t)= ⌠1/t (1/x)ln(tx) dx 1/T⌡ where...

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...

You can't distribute the natural log? I don't understand.

Use the intermediate value theorem to prove that the equation x^3=x+8 has at least one solution

This is an equation used in a synthetic network generator 〈k〉 = ((2*π^(D/2)*δ*μ*I1) / Γ(D/2) ) * 〈κ〉^2 where 〈k〉 is the desired average degree of the...

Please help me differentiates this.

A tarp has the dimensions of 30cm and 310cm This tarp is held up by a rope in the centre of it, find the maximum usable area underneath it for a 173cm tall person.

A 5000 seat theatre has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performace to generate a total revenue of $141,500?

The Megabus was driving on 101 when it suddenly braked, having a constant deceleration of 18 ft/second-squared. It produced skid marks that measured 190 feet before coming to a complete stop. How...

The equation is y=sqrt(1-x2). The picture is a concave down curve that goes to 1 in both the y and x direction. I found the lower sum to be 0.6985 but I can not seem to get the uppper sum correct...

A roast turkey is taken from an oven when its temperature has reached 185ºF and is placed on a table in a room where the temperature is 75ºF. (a) If the temperature of the turkey...

Find the derivative of y = coth-1 (sec(x)). Simplify if possible. I applied the Chain Rule. -sech(x)tanh(x) _____________ (1 - sec(x)2)1/2 I don't...

Suppose that Alice and Bob both begin driving cars at 10:00pm Friday evening, and that Alice is initially 10 miles to the East of Bob. If Alice is driving North-East at a speed of 50√ 2 miles per...

3. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is moving...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It is found that the beam of light is moving alon the shore at a rate of 220pi m/s when...

Differentiate y = x/e^x

I can't figure out how to get that pesky zero out of the denominator!

I know I need to use the chain rule but I never get the right answer when I try on this problem