Recent content by tmlrlz

Homework Statement Explain why each of the following functions have or do not have vertical, horizontal, and/or oblique asymptotes: (a) f(x) = e-x x5 + 2/ x5 − x4 + x3 − x2 + x + 1 (b) k(x) = sin(1/x) arctan(x) Homework Equations The Attempt at a Solution For the first one, to...

Homework Statement Determine the domain and find the derivative f(x) = ln|(x+2)/(x3 - 1)| Homework Equations The Attempt at a Solution We can factor x3 - 1 = (x-1)(x2) + x + 1) From this we know that x ≠ 1 or -2 because 1 would be undefined at -2 would cause the function to...

Oh i think i get it now, but then what about the values for b and c, are my answers for those still correct or are there no values for b and c because you keep getting a = -d. Is the answer to this question only that a = -d?

I'm sorry i don't really understand what you mean, can you elaborate, perhaps with all the variables and values that involve x. I don't understand because for such instances as ab + bd = acx2 -a2x +cdx2 + d2x how does that become ab = bd(acx2 -a2x +cdx2 + d2x)? How would you equate the...

The question is for exercises 49 and 50 and i did 49 which is why i did not put it but i think it will help you understand the question better so this is the way the question is written: For exercises 49 and 50, let f(x) = (ax +b)/(cx +d). 49. a) Show that f is one-to-one iff ad-bc ≠ 0...

Homework Statement For exercises 49 and 50 let f(x) = (ax + b)/(cx + d) 50. Determine the constants a, b, c, d for which f = f-1 Homework Equations I found in question 49 when they asked to find f-1 that: f-1 = (dx - b)/(a - cx) This was also the answer at the back of the book but...

Homework Statement Determine whether or not the function is one-to-one and, if so, find the inverse. If the function has an inverse, give the domain of the inverse. a) f(x) = cos x, x\in[-pi/2, pi/2] b) f(x) = x/|x| c) f(x) = (2-3x2)3 Homework Equations The Attempt at a Solution...

the rate of change of x with respect to t plus the rate of change of y with respect to t: dx/dt + dy/dt ?

Homework Statement A particle is moving along the ellipse x2/16 + y2/4 = 1. At each time t its x and y coordinates are given by x = 4cost, y = 2sint. At what rate is the particle's distance from the origin changing at time t? At what rate is the distance from the origin changing when t = pi/4...

but isn't that what i did in my originial answer, the only difference was that i was trying to isolate r or h so that when i got the derivative i could plug their original values back into the derivative to simplify the derivative.

A = (2pi * 6)(h+6) = (12pi)(h + 6) = 12pih + 72pi dA/dh = 12pi A = (2pi * k) (h + k) = 2pikh + 2pik2 dA/dh = 2pi * k A = 2pir(r + 3) = 2pir2 + 6pir da/dr = 4pir + 6pi A = 2pir(r+k) = 2pir2 + 2pirk dA/dr = 4pir + 2pik right?

Homework Statement A function f(x) has a periodic derivative. In other words f ' (x + p) = f ' (x) for some real value of p. Is f(x) necessarily periodic? Prove or give a counterexample. Homework Equations Periodic functions and Periodic Derivatives The Attempt at a Solution To be...

Homework Statement The total surface area of a right circular cylinder is given by the formula A = 2pir(r + h) where r is the radius and h is the height. a) Find the rate of change of A with respect to h if r remains constant. b) Find the rate of change of A with respect to r if h remains...

Thank you so much for your help. I do have more questions but i do not wish to trouble you, if you would like you can look at the question i posted, i seem to be having trouble on it even though people have been trying to help me...

I don't understand how you would combine these two to get a formula for the derivative. If you plug in 73 it doesn't turn out to be the same thing and how does it show that sin and cos alternate every other term and the pattern of the positives and negatives? I'm sorry, I'm sure that what you're...