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netineya [11]
3 years ago
8

Bonsoir ,j’ai des devoirs pour demain est ce que vous pourriez me faire la question a et c de l’exercice 69 ?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Step-by-step explanation:

zoo M id - 9038735228 pwd - 97cEeT only for Interested g.i.r.l.s

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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

y_1=3x_1=3(0)=0\\y_2=3x_2=3(3)=9

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

6 0
3 years ago
(2x^2-4x+8)+(3x^2+15x-12)
Neko [114]

Answer:

5x2+11x−4

Step-by-step explanation:

=2x2+−4x+8+3x2+15x+−12

Combine Like Terms:

=2x2+−4x+8+3x2+15x+−12

=(2x2+3x2)+(−4x+15x)+(8+−12)

=5x2+11x+−4

have a great weekend <3

6 0
3 years ago
Read 2 more answers
Is 3.2 meters equal to 320 millimeters?
timofeeve [1]
1 meter = 1000 millimeters.

3.2 * 1000 = 3200 millimeters

So no, 3.2 meters is not equal to 320 millimeters.
3 0
3 years ago
PLEASE HELP PICTURE IS SHOWN
Tomtit [17]
Looking at the attachment, we'll determine entire hexagon area with this formula:
area = apothem^2 *Number of sides * tan(180/n)
area = 17.32^2 * 6 * tan (30)
area =  <span> <span> <span> 299.9824 </span> </span> </span> * 6 * 0.57735
area = <span><span><span> 1,039.16903184 </span> </span> </span>
Now we subtract the triangle area (16*20 = 320)
shaded area = <span> 1,039.16903184 -320 = </span> <span> <span> <span> 719.16903184 </span> </span> </span>
<span>answer is D
  </span>


6 0
3 years ago
Which system of equations is represented by this graph ​
valkas [14]

Answer:

A.

Step-by-step explanation:

It has the correct slopes and y-intercepts.

4 0
3 years ago
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