Ultimate Programmer

im not too sure what this means...

What are the first 4 terms a0,a1,a2,a3 if the function 1/(1+16x^4) is expressed as a power series....

"the sum as n goes from zero to infinity of an"

What are the first 4 terms a0,a1,a2,a3 if the function 1/(1+16x^2) is expressed as a power series...."the sum as n goes from zero to infinity of an"

Find an equation for the plane that contains the line x = 2t – 8, y = 3t + 3, z = 5 – t, and the point (5, 4, 0).

** can you please show the steps

Find the distance between the parallel planes x+2y-z=-1 and 3x+6y-3z=3

please show all the work + steps please

Two objects attract each other with a gravitational force of magnitude 9.20 x 10^-9 N when separated by 19.1 cm. If the total mass of the two objects is 5.00 kg, what is the mass of each?

____kg (heavier mass)

____kg (lighter mass)

Two objects attract each other with a gravitational force of magnitude 9.20 x 10^-9 N when separated by 19.1 cm. If the total mass of the two objects is 5.00 kg, what is the mass of each?

A tennis ball of mass 52.0 g is held just above a basketball of mass 619 g. With their centers vertically aligned, both are released from rest at the same moment, to fall through a distance of 1.05 m, as shown in the figure below.

(a) Find the magnitude of the downward velocity with which the basketball reaches the ground. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. ____m/s<-----------THIS IS 4.53 M/S

(b) Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?___m

A tennis ball of mass 52.0 g is held just above a basketball of mass 619 g. With their centers vertically aligned, both are released from rest at the same moment, to fall through a distance of 1.05 m, as shown in the figure below.

(a) Find the magnitude of the downward velocity with which the basketball reaches the ground. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. ____m/s

(b) Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?___m

A tennis ball of mass 52.0 g is held just above a basketball of mass 619 g. With their centers vertically aligned, both are released from rest at the same moment, to fall through a distance of 1.05 m, as shown in the figure below.

(a) Find the magnitude of the downward velocity with which the basketball reaches the ground. Assume an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. ____m/s

(b) Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound?___m

Two blocks of masses M and 3M are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3M moves to the right with a speed of 1.95 m/s.

(a) What is the velocity of the block of mass M? Assume right is positive and left is negative. (I GOT THIS ANSWER TO BE -5.85, which is correct).

(b) Find the system's original elastic potential energy, taking M = 0.330 kg. _________????

**for part b, i thought the answer was 0, but it wasnt correct. JUST NEED HELP ON PART B!

Three forces acting on an object are given by 1 = ( 2.00i - 2.20j ) N, 2 = ( - 4.90i - 3.50j ) N, and 3 = ( 42.0j ) N. The object experiences an acceleration of magnitude 3.70 m/s2.

(a) What is the direction of the acceleration? _______° (from the positive x axis)

(b) What is the mass of the object? _______kg

(c) If the object is initially at rest, what is its speed after 19.0 s? _____m/s

(d) What are the velocity components of the object after 19.0 s? (___i+___j) m/s

Three forces acting on an object are given by 1 = ( 2.00i - 2.20j ) N, 2 = ( - 4.90i - 3.50j ) N, and 3 = (? T?

Three forces acting on an object are given by 1 = ( 2.00i - 2.20j ) N, 2 = ( - 4.90i - 3.50j ) N, and 3 = (?

Three forces acting on an object are given by 1 = ( 2.00i - 2.20j ) N, 2 = ( - 4.90i - 3.50j ) N, and 3 = ( 42.0j ) N. The object experiences an acceleration of magnitude 3.70 m/s2.

(a) What is the direction of the acceleration? _______° (from the positive x axis)

(b) What is the mass of the object? _______kg

(c) If the object is initially at rest, what is its speed after 19.0 s? _____m/s

(d) What are the velocity components of the object after 19.0 s? (___i+___j) m/s

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the following curves.

y = sqrt x , y = x^2

Find V by cylindrical shells.

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the following curves.

y = sqrt x , y = x^2

1. Find V by slicing

2. Find V by Cylindrical shells

Question #1

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the following curves.

y = sqrt x , y = x^2

1. Find V by slicing

2. Find V by Cylindrical shells

Question #2

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis.

y^2 = 5x, x = y

Find the volume V of this solid.

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the following curves.

y = sqrt x , y = x^2

1. Find V by slicing

2. Find V by Cylindrical shells

Find the domain of the function.

1.) f(x) = 4x / x^2 + 2x - 6

**can you please show all the steps including the quadratic formula if necessary***