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.

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...

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...

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...

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

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...

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...

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...

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...

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

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.

on his 5th birthday,paul was 42 inches tall. on his 7th birthday,he was 48 inches tall.

at 1:00 the temperature outside registered 85 degrees.at 7:00, the temperature was 61 degrees.

when an amusement park opened,the counter on the turnstile at the entrance read 1278. 7 hours later,the counter read 3672.