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melomori [17]
3 years ago
7

What is the value of the expression?

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
-square root 3 over 3
 hope this helps.
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The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to dr
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Claudia opened a savings account with $325 she says $100 per month write an equation to determine how much money D, she has afte
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2 years ago
Sketch the region enclosed by y=3x and y=x^2 . Then find the area of the region.
kolezko [41]

Answer:

A=4.5u^2

Step-by-step explanation:

The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.

The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):

y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3

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The integral will be the subtraction of the curve y=3x and y=x^2  (In the graph you can see y=3x is the upper curve):

\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2

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2 years ago
What is the length of line segment BC with endpoints (Negative 4 3) and (Negative 4, Negative 4) as shown on the coordinate plan
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C 7

Step-by-step explanation:

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3 years ago
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