Show all working out please

Show all working out please

a paper cup as the shape of a cone with height 10 cm and radium 3 cm at the top. if water is poured into the cup at a rate of 2cm^3/s, how fast is the water level rising when water is 5 cm deep

y= sin^2 [cos√(sinπx)] what is the derivative chain rule?

A university is trying to determine what price to charge for tickets to football games. At a price of $2525 per ticket, attendance averages 40 comma 00040,000 people per game. Every decrease of $55...

1. Solve for x: log2 4x = 16 2. Find the derivative of f(x) = (e3x)4 two different ways, and the derivative of g(x) = ln (x3) two different ways. 3. If you invest $1,000,000 at 6%...

the sides of an equilateral triangle are increasing at a rate of 10cm/min. at what rate is this area of the triangle increasing when the sides are 30 cm long? i ended up with 260cm^2/min...

Given the function h: |x − 1| < 0.2 =⇒ |h(x) − 4| < 1. a) Can you guarantee that there exists δ > 0 such that |x − 1| < δ =⇒ |h(x) − 4| < 0.5? If the answer is yes, provide one...

function C(t)=K[(e^-at) - (e^-bt)], where a,b snd K are positive constants and b>a, is used to model the concentration at time t of a drug into the bloodstream. (a) show lim t-->infinity...

use linear approx. to estimate the given number 3√1001 (cubed root)

Let f(x)=x^2 and g(x)=(x-74)^2+27. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously.

a man starts walking north at 4ft/s from point p. five minutes later a women starts walking south at 5ft/s from a point 500 ft due east of p. at what rate are the people moving apart 15 mins after...

stuck on this problem, please help me?

Find the nth roots of the complex number for the specified value of n: -17i, n=6

calculus Ab

Use epsilon delta argument to prove the lim |x| = 2 as x -> 2

Graph the conic and find the values of e, a, b, and c: r=14/3+4cos(theta)

Find the slope of the function's graph at the given point. Then find an equation for the line tangent to the graph there. f left parenthesis x right parenthesis equals 4 x squared plus 2 xf(x)=4x2+2x,...

The speed of the rocket 4 second after liftoff is nothingft/sec

Find an equation for the line tangent to y equals 2 minus 5 x squaredy=2−5x2 at (negative 2−2,negative 18−18)

the circumference of a sphere was measured to be 84 cm with possible error of 0.5 cm (a) use differentials to estimate the max error in the calculated surface area. what is relative...