Recent content by GustX

Ok, I wrote a number wrong when i factored just then but original problem so it is 3(t-2)(t-6) if whether I should look at the signs of the factors of the derivative to find out where on the interval its positive or negative positive and negative? Weird that it would be incorrect but...

when factored its 3(t-2)(t-4) you mean the signs atm or after i find the zeros? Since the quadratic gave me t =2 t = 4 it should change in these two points but only 1 (t =2) is in the interval so only 1 change matters but when i input t values t >= 2 the sign doesn't change from the...

lol I never woulda thought it that far

Ah I see, I changed it up and it seems closer to the answer, but how do you transform from (-27x^8+12x^11 - 3x^14)/ ((x^9)^2) to( what do we do to the denominator) -27/x^10 + 12/ x^7 - 3/ x^4 which is the answer

1st Part (-6x^2+6x^5)(x^9) - ( 3-2x^3 + x^6) (9x^8) 2nd Part -6x^11 + 6x^14 - (27x^8 - 18x^24 + 9x^14) 3rd Part -6x^11+6x^14 - 27x^8 + 18x^24-9x^14 lol its hard to type math with itex finished posting.

Homework Statement Find the derivative of the function y = (3-2x^3+x^6 )/x^9 Homework Equations Derivatives The Attempt at a Solution I have tried to use the quotient rule and got to -6x^11 + 6x^14 - 27x^8 + 18x ^24 - 9x ^14 / (x^9)^2 Which doesn't look close to the answer -27/x^10 +...

Homework Statement At time t, the position of a body moving along the s-axis is s= t^3 -12t^2 + 36t m(meters) Find the total distance traveled by the body from t = 0 to t = 3. Homework Equations Derivatives The Attempt at a Solution I got the derivative which is 3t^2 - 24t + 36(meters) I...

Ah i kinda see so I'm not supposed to use inverse cos, just find what value of x makes it equal to -1/2. So there was no way to solve for it without memory of it. is there a particular part of math that should be reviewed solve this type of problem, cartesian circle(radians and angles)?

lol yea I have tried that as well and got 2.09439 which didn't seem similar 3 +6cos(x) = 0 x = cos^-1(-1/2) x = 2.094395102 but that wasn't which similar to the given answers of my sheet which are [itex] x = 2pi/3 , x = 4pi/3 I'm not sure how to get to these

Homework Statement Does the graph of the function y = 3x + 6sinx have any horizontal tangents in the interval 0 ≤ x ≤ 2 If so, where? Homework Equations Derivative rules The Attempt at a Solution I tried finding the derivative and setting it equal to zero. y' = 3 + 6(cosx) 3 + 6(cosx) = 0...

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