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Help with a few Calculus problems?
1) Let f(t)=t*(the square root of 4-t) on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. (Am I suppose to get rid of one of the t's by subtracting it to the other side or keep both of them?)
2) Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. (Using the product rule, I got the max at 4 and min at -60/289, both of which are wrong.)
3) Consider the function f(x) = x^4 - 32x^2 + 6, -3 is less than or equal to x is less than or equal to 9. This function has an absolute minimum value equal to ? and an absolute maximum value equal to ?. (I'm not too sure on how to start this one.)
-Thanks a lot for any help.
1 Answer
- ted sLv 71 decade agoFavorite Answer
3 hours and no reply...and I can see why. Your comments lead me to believe your algebra skills need much improvement..and you are in calculus! The 3rd problem is the easiest and yet you state you have no idea how to start....how were you able to start the 1st two???. The 2nd is a quotient , yet you want to use a product rule, and the 1st is a product and you are thinking about using terrible algebra....listen in class or at least read the text...(1) find the critical numbers, (2) check the function values at these points,(3) compare with the function values at the endpoints....practice!!