example: Calculate the limit of a function, while x approaches -1 f(x)=x+arccos(x/1-x^2)-1/(x^2)*e^(1/2*x^2) //the function arccosX (X is a real number) is defined for X∈[-1,1], but...

example: Calculate the limit of a function, while x approaches -1 f(x)=x+arccos(x/1-x^2)-1/(x^2)*e^(1/2*x^2) //the function arccosX (X is a real number) is defined for X∈[-1,1], but...

Air is being released from a spherical balloon at a rate of 100cm^3/sec. Which of the following is the instantaneous rate at which the radius of the balloon is changing when the radius is 5 cm (The...

A clown is standing on a cliff that is 528 ft tall. The clown hurls a tomato into the air with a velocity of 128ft/sec. How fast is the tomato traveling when it hits the ground below? I...

Find the value or values of c that satisfy the equation f(b)−f(a)/ b−a a. 5.820 b.4.820 c.5.885 d.+-4.820

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

After an extensive study, the Interstate Commerce Commission has concluded that, though maintenance and replacement costs for vehicles are considerable, they do not vary significantly from carrier...

The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form...

A 13 foot ladder rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall. Let x be the distance from the bottom of the ladder to the wall. Assume the wall is perpendicular...

Let sinx=1-x, use newtons method to find the solution accurate to 8 decimal places. Show initial guess, iteration equation, and all intermediate values prior to final answer?

Find the indefinite integral of sec(x)+tan(x) dx

Use the method of completing the square to sketch (a) 𝑦 = 𝑥2 + 10𝑥 + 4 (b) 𝑦 = 6 + 𝑥 − 𝑥2.

Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 5 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to...

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...

f is function of a single variable; assume it is at least twice differentiable. Let z = g(x,y) be a function of x and y and let u = u(z) = f(g(x,y)). Establish the following...

write the quadratic 3x2+9x+6 in standard form (so it is clear what the vertex of the parabola would be)

Empire bank offers a savings account that compounds quarterly at an interest rate of 3% per year. a) Calculate the effective rate of interest for each savings account. b)...

A sum of $1200 is invested at an interest rate of 7.5% per year. fine the amount in the account after four years if interest is compounded monthly?

log base(ab) [2log base(ab)(√a)-1/2log base(ab)√ab(b)]=(log base(ab) (a))^2-(log base(ab)(b))^2 I do not know

suppose that f(x) is an even function and let ∫0^1 f(x)dx = 5 and ∫0^7 f(x)dx = 1. What is ∫-7^-1 f(x)dx? This is my work I expand ∫-7^-1 f(x)dx to F(-1) - F(-7) F(-1)...

∑ ( 1/( (5i)^n + n) )