- #1
buffgilville
- 91
- 0
1) Use differentials to estimate f(8.05) given that f(8)=71 and
(d/dx)f(x)=sqrt of (x+56)
i used f(c+h) = f(c) + fprime(c) * h
i got 8.125, but the answer is 71.40
2) Compute dy/dx at the given values xy - 6y^2 - 2x = -24 , x=1, y=2
I keep getting 4/25
but the answer is 0
3) Give a value c that satisfies the conclusion of the mean value theorem on the interval 2 < x < 5 for the function f(x) = 6x^2 + 8x + 13 (note: all < means greater than or equal to )
I took the prime of f(x), and f '(c) = 12x + 8
12x + 8 = 5
and I got c= (-1/4)
but the answer is c = (7/4)
(d/dx)f(x)=sqrt of (x+56)
i used f(c+h) = f(c) + fprime(c) * h
i got 8.125, but the answer is 71.40
2) Compute dy/dx at the given values xy - 6y^2 - 2x = -24 , x=1, y=2
I keep getting 4/25
but the answer is 0
3) Give a value c that satisfies the conclusion of the mean value theorem on the interval 2 < x < 5 for the function f(x) = 6x^2 + 8x + 13 (note: all < means greater than or equal to )
I took the prime of f(x), and f '(c) = 12x + 8
12x + 8 = 5
and I got c= (-1/4)
but the answer is c = (7/4)