if f'(x)=c (c a constant) for all x, use F(x)=f(x)-g(x) to show that f(x)=cx+d for some constant d

if f'(x)=c (c a constant) for all x, use F(x)=f(x)-g(x) to show that f(x)=cx+d for some constant d

A. suppose that 3≤f'(x)≤5 for all values of x. show that 18≤f(8)-f(2)≤30 B. show that sin x < x if 0<x<2pi

a. show that a polynomial of degree 3 has at most three real roots b. show that a polynomial of degree n has at most n real roots.

A farmer finds that if she plants 95 trees per acre, each tree will yield 55 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by...

Find Absolute maximum and minimum values of each function over the indicated interval, and indicate the x-values at which they occur. f(x)=x^3-x^2-8x+8 ;[-2,0]

Give each step in order and tell why each step was taken to get the answer. g(x)=sqrt of x.

List why it is true or false and give each step, also include why each step was taken.

List each step by step and explain why each step was take.

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

y=(xy)x Write an expression for dy/dx

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...

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

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...

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...

lim of 8+ x - 4x2 x→∞ √6+ x2 + 7x4

Show all working out please

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...

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...

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