We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
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I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
(1/2)(3v+28)
Step-by-step explanation:
of= multiply
sum= add
The given vectors are and
Two vectors are said to be orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.
Let us consider the dot product of the vectors
which is not equal to zero. Hence, the given vectors are not orthogonal.
Two vectors are said to be parallel if one vector is a scalar multiple of the other vector.
Here we can observe that the from the given vectors, one vector can not be expressed as the scalar multiple of the other vector.
Hence, the given vectors are neither parallel nor orthogonal.
"Definition of direct variation. 1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other."
The answer is D
All of the other relationships are consistent.
A is x × 3
B is x × 4
C is x × 2
D is x × 2 then 3 then 4.
D is not a direct variation.
Let me know if you have questions about my answer! :)