Answer:
f(4) = 49
f(-3) = -35
Step-by-step explanation:
f(4) = 12(4) + 1 = 48 + 1 = 49
f(-3) = 12(-3) + 1 = -36 + 1 = -35
Note that
in the given closed interval, so the area is exactly given by the definite integral
(no absolute values needed!)
Integrating gives
The striped rectangle has a total area of 69,375 cm².
<h3>How to calculate the area of the
striped rectangle?</h3>
To find the area of the striped rectangle we must carry out the following procedures.
Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.
According to the above, we infer that each square has an area of 4.625cm².
On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.
Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.
15 × 4.625cm² = 69.375cm²
Learn more about areas in: brainly.com/question/27683633
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Root 25 is the rational number as it equals 5
Answer:
Option A is correct.
The function for the given graph is;
Step-by-step explanation:
An exponential function is in the form of ......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)
or
Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=