Alright, so I figured I suck plantain at Calculus, not to mention my teacher gives all of these problems which stretches my imagination past its limit, so here are some problems. I'll bump this thread every once in a while. Some are probably easy for you guys and there's some you've probably never seen before. So...to start it off:
"An ellipse (b^2)(x^2) + (a^2)(y^2) = (a^2)(b^2) with an area of A = pi(a)(b). Assume the area is held constant at 16pi, find the changing rate of b if the a is decreasing at 1/4 units/sec when a = 2 units."
The answer is 1 u/s. How do you get it? I know this answer is 100% correct. I forgot to mention that the answer is sometimes wrong (like....33% of the problems I'll post here will have the wrong answer since we're the first class to receive his own textbook that he made back to front >_>).
Oh, and I forgot to mention that all the problems are word-for-word. My teacher is a Taiwanese who doesn't exactly have the best of grammar skills. O_O
"An ellipse (b^2)(x^2) + (a^2)(y^2) = (a^2)(b^2) with an area of A = pi(a)(b). Assume the area is held constant at 16pi, find the changing rate of b if the a is decreasing at 1/4 units/sec when a = 2 units."
The answer is 1 u/s. How do you get it? I know this answer is 100% correct. I forgot to mention that the answer is sometimes wrong (like....33% of the problems I'll post here will have the wrong answer since we're the first class to receive his own textbook that he made back to front >_>).
Oh, and I forgot to mention that all the problems are word-for-word. My teacher is a Taiwanese who doesn't exactly have the best of grammar skills. O_O