Answer:
Hypotenuse = 8.94
Step-by-step explanation:
Answer:
the answer is 0
Step-by-step explanation:
(1/3)(21)-1-(1/2)(12)
The first thing you do is that you multiply 1/3 times 21/1 which equal 7 then you multiply 1/2 times 12/1 which that equal 6 then you solve 7-1-6 and you get 6-6 which equal 0 i hope this help you and i hope you have a goood day.
Answer:
dcsdjccjwciwenwenvjlwenfilweknf f
Step-by-step explanation:
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:
0.03
27
Step-by-step explanation:
Use the formula y=mx+b
m= slope
b= y-int
Rate of change can also be interpreted as the slope.
0.03
The initial value can be interpreted as the y-intercept.
27
