Answer:
The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.
Step-by-step explanation:
The function g(x) is a quadratic function:
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
<h3>What are functions?</h3>
Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.
This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:
1 : linear
2 : quadratic
The function:
g(x) = -2x² - 3(x- 2).
g(x) = -2x² - 3x + 6 , we have a quadratic function.
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
Learn more about functions at:
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Answer:
The length of prism is <u>9 centimetres</u>.
Step-by-step explanation:
Given:
The volume of a rectangular prism is 72 cubic centimeters.
The prism is 2 centimeters wide and 4 centimeters high.
Now, to find the length of prism:
Let the length be 
.
Width = 2 centimeters.
Height = 4 centimeters.
Volume = 72 cubic centimeters.
So, putting the formula to get the length of prism:
Dividing both sides by 8 we get:
Length = 9 centimetres.
Therefore, the length of prism is 9 centimetres.
Answer:
x=20
Step-by-step explanation:
2(x+10)=60
distribute 2 by multiplying numbers in parenthesis
2x+20=60
subtract 20 from both sides
2x=40
divide both sides by 2
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x=20
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