Answer:
Step-by-step explanation:
132°
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:
x is 55 degrees because the whole angle is a total of 180 degrees. All you have to do is do 180 minus the given angle, 125
Answer:
The variables are A and B. A for Andy, and B for Brett. B=18, and A=26
Step-by-step explanation:
A+B=44
A=B+8
B + 8 + B = 44
2B+8=44
2B = 36
B = 18
A = 26
Answer:
$1.54 per pound
Step-by-step explanation:
The
pound bag of yarn costs $5.25.
To find the unit rate, we divide 5.25 by
To the nearest tenth,each pound costs $1.54 to the nearest cent.
This is what we call the unit rate. The rate per pound.
