Question 1 Find the value of k such that x = 2 is a critical number of f(x) =14x4−3x2+kx.

Question 1 Find the value of k such that x = 2 is a critical number of f(x) =14x4−3x2+kx.

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...

You hit a golfball upward with your pitching wedge. The position function of the ball is s(t)=-3t^2+30t where the origin is at ground level and the positive direction is vertically up. (distance...

A conical vessel with a base radius 3 cm and a vertical height of 20 cm is arranged with its vertex facing downwards. Water is being added at a constant rate of 1 cm^3/s and leaks away through a small...

N is a fixed point on the circumference of a circle, centre O, radius 12cm. A variable point moves round the circumference with a constant speed of 4cm/s. The angle PON is denoted by θ. Find...

A spherical balloon is released from rest and expands as it rises.After rising for t seconds, its radius is r cm and its surface area is A cm^2,where A=4πr^2.The initial radius of a balloon is 16...

If f(x)=tan(2x) then f'(pie/6) =

ACME company's expected sales can be modeled by g(t)=t^3-2t^2+4t-7, where g(t) is measured in thousands of dollars and t is the number of years after 2008.

Suppose a function, f(t), models the price of a stock at time t. What material could be used to make money by buying and selling the stock?

The height of the cylinder is twice the radius, x cm,of its base. If x is decreasing at a rate of 0.1cm s^-1, find the rate of change of the volume of the cylinder when x=2.

In the triangle ABC, AB=2x, AC= x+1 and ∠A =150 degrees.Show that the area of the triangle is 0.5x(x+1). If x is increasing at a rate of 2 cm s^-1,find the rate at which the area is increasing...

A cylindrical jar,of radius 3 cm, contains water to a depth of 5 cm. The water is then poured at a steady rate into an inverted container with its axis vertical. After t seconds, the depth of the...

A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the...

scott began printing his history paper at 3:15. at 3:20,he found that it had printed 12 of his 15 pages.

A potato is put in a hot oven at t=0. After t minutes, the temperatures is T(t)=350-280e-.2t degrees. What is the initial temperature of the potato, and what is the temperature of the oven? Please...

dara works in the clothing department of a large store. when she began her shift at 4p.m.,the register showed sales of $10,550. when she clocked out at 9p.m.,the register showed sales of $40,620.

I currently have 733/1100 points in my Chem class. (NOTE THIS DOESN'T INCLUDE FINAL) (76.7% according to teacher's gradebook) Here's his grading system: 90%= A 75%=B...

find average rate of change for this function f(x)=2x from x[1]=0 to x[2]=5

On Monday,my math class learned how to find the percent of change, and I was absent on Monday. And we did some problems in class today, and I still don't understand it. Can you help me to understand/explain...