Recent content by ugeous

Great! Thank you Dick! :-)

Hello again! The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is 100 cm^2? I think I have found the solution, but want to have someone else check it over b/c I am not 100% sure...

Finally got it! Thank You!

Right!

-sqrt2/2, sqrt2/2 i believe.

This question is driving me crazy... I did find critical point, but I can't seem to find the second one. I know that usually you have more than one critical point when x can be more then one value, and still satisfy the equation. In this case, I had sin(x)=-cos(x). By dividing both sides by...

OK, I see. I used Dick's method (seems to be the fastest), and got the correct answer for maximum value(check with calculator), but how would I find the minimum value here? Equation that gave me max value was tan (x) = -1. Do I just need to use a different method for min value?

Find max/min values of f(x)=cos(x)-sin(x) in the interval of -pi (smaller or equals)x(smaller or equals)pi I took the derivative and ended up with f`(x)=-sin(x)-cos(x). By setting it equals to zero, i get sin(x)=-cos(x). This is where I'm stuck. Don't know where to go from here. thx!

Thanks man!

Oh, right! sec(cube root x) * tan(cube root x) * 1/3(x^-2/3) Is this correct?

Hello! Question asks: Find dy/dx. Do not simplify. y = sec(cube root x) My answer is dy/dx = sec(cube root x) * tan(cube root x) Am I correct? thanks!

just wanted to confirm with you guys (finding this topic a little difficult) by converting tan^2x i get lim 2sin^2x x->0 cos^2x(x^2) limit x->0 of sin^2x/x^2 gives 1 correct? then I am simply left with 2/cos^2x which gives me final answer 2. Am I correct? Thanks for help/comments.

Ooooh... I have thought of a completely different thing here. I understand it now. thanks guys!

Remind me please, do you rewrite tan as sin/cos before taking derivative or after? I think it is before, but not 100% sure. Thanks

lim (2 tan^2 x)/x^2 x->0 I am just uncertain about how to do this question. Do I find a derivative or something else? Just need some guidance. Thanx.