Answer:
3x10^3
Step-by-step explanation:
distance must be given
average speed is distance and time
sunaina's alona work=
1/6-1/10
10-6/60
4/60
1/15
therefore sunaina can alone do the work in 15 days
-1
a, b. see below
c. L(1.9) = 3.4
d. f(1.9) = 3.39; error ≈ 0.29%
a. A graphing calculator is useful for graphing these functions.
b. The linear approximation at x=2 is ...
L(x) = f'(2)(x -2) +f(2)
The derivative is ...
f'(x) = -2x
so the linear equation is ...
L(x) = (-2(2))(x -2) +(7 -2^2) = -4x +8 +(7 -4)
L(x) = -4x +11
__
c. L(1.9) = -4(1.9) +11 = 3.4
d. f(1.9) = 7 -(1.9^2) = 7 -3.61
f(1.9) = 3.39
percent error = ((3.4 -3.39)/3.39)×100% ≈ 0.29%