Calculus Answers

state the statement is true or false the function f[x,y]={x^2y/x^4+y^2[x,y]=0 is not continuous at [0,0] and 0,[x,y]=0

Use the bissection method to approximate the root of f(x)=2x²-1 in the interval . Let ε=0.1 be the margin of error of approximation.

Calculate the surface area Integral of object obtained by rotating the function x=2y+5 for x=-1 and -2 about y axis

If c>0, then the following equality holds,

the integral from a to b dx/x equals to the integral from ac to bc dx/x.

Show your work and an explanation for each step.

F(x) = "\\smallint" "(x+9)dx \/ (x-2)(x+2)"² and F(3.1) = 5.5. Compute F( -0.5)

A projectile is launched vertically upward from the ground level with an initial velocity of 16 ft/s.

a. How long will it take for the projectile to hit the ground?

b. How long will the projectile be moving upward?

A boy in a hot air balloon drops his cellular phone when the balloon is 150 ft above the ground and rising at the rate of 10 ft/s.

a.How long will it take the cellular phone to reach the ground?

b. With what speed will it strike the ground?

of 10 genes studied in yeast, 7 are found to form a network of metabolic interactions. If this set of 7 genes was chosen arbitrarily from the 10 that were studied, how many different sets would be possible? Show your calculation and the reasoning.a