Answer:
a. Rational; b. rational
Step-by-step explanation:
A rational number is the quotient of two integers.
a. ⁴/₇ + ⁻¹/₃
The solution is rational.
b. √4 ⅖
The solution is rational.
The right option is (c). The Mean Value Theorem does not apply since f(x) is not differentiable on (-1,8). Because the derivative of f is 2/3 x^(-1/3) which is undefined at x=0.So, that would imply that it is not differentiable along the interval.
Answer:
the answer is a
Step-by-step explanation:
Answer:
28.125
Step-by-step explanation:
A bar weights 3 ounces, she has a box of 150 so you multiply
150 times 3 = 450
well one pound equals 16 ounces, so you divide
450 divide by 16 = 28.125
<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
