Recent content by Jen23

-3x^3 / x = -3x^2 0x^2 / x = +0x 5x / x = 5 -2 / x = 0 <---- (I think I solved this one incorrectly but not quiet sure. Would the answer just be -2/x sine we cannot divide it?) Therefore the quotient that I get in the end is -3x^2 + 5. My remainder ended up being -2. Sorry if my format is...

Homework Statement What is the remainder when -3x^3 + 5x - 2 is divided by x? The Attempt at a Solution Not sure how to complete this one, I would assume that it is the same as x+0? How would you divide the last term, (-2). Please show your steps as this will help me a lot! Thanks!

Yes it does become more complicated finding the roots! Thanks for showing how we got x=0.6448517208

Okay I will give it a shot and try to solve using the link provided, I haven't done this before but I will try it!

Yes, I am positive I have the equation right, I made sure and checked the book a couple of times and see if I missed anything, but this is exactly how it is written. If this equation was able to be factored, I would have done so until I get a quadratic equation to use the quadratic formula if...

Homework Statement Solve for x: 3x^3 + 2x^2 + 75x - 50 = 0 The Attempt at a Solution I have tried substituting multiple values for "x" so that we get a factor, f(x)=0 I cannot seem to find an "x" value that will make this function=0. Is there a way to factor this function or did the book...

so if 1 / cot^2x = tan^2x = sin^2x / cos^2x Then all we have to do is: = (sin^2x/cos^2x ) + (cos^2x/cos^2x) =( sin^2x + cos^2x)/ cos^2x = 1 / cos^2x Thanks so much haha, I didn't even notice that. Also another...

Homework Statement Express (1+cot^2 x) / (cot^2 x) in terms of sinx and/or cosx Homework Equations cot(x) = 1/tan(x) sin^2(x) + cos^2(x) = 1 The Attempt at a Solution I do not know if I am solving this problem correctly. Is there an easier route than the way I have solved it, if it is solved...

I also thought using 1 and 2 is on the farther end of getting a better approximation. I am going to stick to what I originally came up with since it is a closer approximation, maybe the book had an error. Thank you for your feedback! I appreciate it.

Yes, that is what I was thinking, I had just calculated and estimate the slope of the tangent line. We can calculate this instantaneous rate as x approaches that certain value (example, using 1.0001, 1.00001,..). I included four decimal places at least for accuracy. The book did use the point...

Okay I see what you are saying, thanks for taking the time to read and reply to my question!

Homework Statement Estimate the instantaneous rate of change of the function f(x)=3x^2 + 4x at (1,7) Homework Equations ∆f(x)/∆x = f(x2)-f(x1) / x2-x1 The Attempt at a Solution I know that x=1 given the point, but to find the instantaneous rate of change I can use x=1.001 as this is a very...