Step-by-step explanation:
Now she has 6 watermelons.
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
Answer:
6.67% is as close as you can get
Step-by-step explanation:
Answer:
L = 5u
Step-by-step explanation:
area = 8 × L
L = area ÷ 8
40 ÷ 8 = 5
L = 5u
Answer:
False
Step-by-step explanation:
According to the section, "When Good Bananas Go Bad", we are made to understand that one of the reasons why the TR4 fungus can spread easily through banana roots is because, there is only one variety, which is the Cavendish variety. Experts advise that people should develop interest in other varieties like the Manzano, which has the taste of Apple and Strawberry.
Another reason given for the spread of the disease is increased human transportation. Although growing one type of banana would be beneficial for companies, the fact that they have the same genetic material, aids the spread of the disease. So, diversification is advised.
