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Hunter-Best [27]
2 years ago
15

1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides

Mathematics
1 answer:
salantis [7]2 years ago
3 0

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

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While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and th
netineya [11]
H=9;8)B=(5;4) (ball)R=(7;0) (hit point)B'=symetric of B axis perpendicular of x in RB'=(7+(7-5);4)=(9;4)Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14
Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 
no, you will not make your putt.

I hope this helps you and have a great day!! :)

6 0
3 years ago
A right triangle is inscribed in a circle as shown. What is the area of the shaded region. Diameter of 12 and 9 cm in triangle
Ksivusya [100]

Answer:

36\pi -18\sqrt{7}

Step-by-step explanation:

Every inscribed right triangle has its hypotenuse as the same size of the Diameter. Assuming that, this is the case check the picture below.

So the hypotenuse= D=2R=12

  1. Shaded Area = Area of the Circle- Area of the Triangle
  • Area of Circle:

A_{circle}=\pi (6)^{2}=36\pi

  • Area of the Triangle:

Finding the Triangle base via the Pythagorean Theorem

a^2=b^2+c^2\\12^2=9^2+c^2\\144-81=c^2\\c=\sqrt{63}\\c=3\sqrt{7}\approx 7.94

Now plugging in the base of the triangle on that formula:

A=\frac{bh}{2}\\A=\frac{3\sqrt{7}*12}{2}\\A=18\sqrt{7}

Finally,

Shaded Area = 36\pi -18\sqrt{7} cm^{2} \approx 65.48 cm^{2}

3 0
4 years ago
Please help __________
stich3 [128]
Parallel I think is the right answer
8 0
3 years ago
Read 2 more answers
5. y = 3x + 9<br> y = 3(x + 3)<br> I I<br> No solution<br> Infinite solutions
Natasha_Volkova [10]

Answer:

Infinite solutions

Step-by-step explanation:

3*x is 3x and 3*3 is 9

I used foil to make the equations look equal to each other.

since they're both equal to y you can set them equal to each other also.

3x+9=3(x+3)

3x+9=3x+9

bruh

8 0
4 years ago
What is the fraction form of the following decimal expansion?<br> 1.7 continued
allsm [11]

Answer:

1 is in the unit place and 7 is in the tenths place and the fraction for this is 1 and 7/10 the one is a whole number and the seven tenths is a fraction and thats your answer

4 0
3 years ago
Read 2 more answers
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