Calculus Answers

What is the axis of symmetry for the graph of y=2x2-4x+2

Trace the following curves (x^2+y^2)x=2x^2+y^2

If ln=int_zero to infinity e^-x sin^n (x)dx,prove that (1+n^2)ln=n(n-1)ln-2 for n≥2.

Calculate the volume of the solid formed by revolving about the line y=1 the region bounded by the parabola

𝑥

2 = 4𝑦 and that line. Take the rectangular elements of area parallel to the axis of revolution.

Activity in Limit Theorems

Directions: Assume the following.

lim f(x) = 3/4;

x→c

lim g(x) = 12;

x→c

lim h(x) = -3;

x→c

Compute the following limits.

1. lim (4 • f(x))

x→c

2. lim (g(x) - h (x))

x→c

3. lim √12 • f(x)

x→c

4. lim (g(x) + h(x)) / f(x)

x→c

5. lim (f(x) + h(x))

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c

Activity in Limit Theorems

Directions: Assume the following.

1. lim f(x) = 3/4

x→c

2. lim g(x) = 12

x→c

3. lim h(x) = -3

x→c