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Dahasolnce [82]
3 years ago
12

Consider the following. y = x2 y = 20 − x Maple Generated Plot (a) Find the area of the region by integrating with respect to x.

onsider the following. y = x2 y = 20 − x Maple Generated Plot (a) Find the area of the region by integrating with respect to x.

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

  area = 121.5

Step-by-step explanation:

See below for a plot and the integral. We assume you are interested in the entire bounded region.

__

  \displaystyle\text{area}=\int_{-5}^4{(20-x-x^2)}\,dx=\left.20x-\dfrac{x^2}{2}-\dfrac{x^3}{3}\right|_{-5}^4\\\\=20(4-(-5))-\dfrac{4^2-(-5)^2}{2}-\dfrac{4^3-(-5)^3}{3}\\\\=180+\dfrac{9}{2}-63=121.5

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Check to solve each problem. Please help!
e-lub [12.9K]

Answer: number 3 is 32 number 4 is 40 minutes

Step-by-step explanation:You see in number 3 it says a millipede has 14 more legs than a caterpillar. Also it states the total of the legs are 46. This means you must subtract. 46-14 is equal to 32. And for number 4 it states the total time of all her classes are 1 hour and 10 minutes. The yoga class is 30 minutes longer. This means you must subtract those 30 minutes from the 1 hour and 10 minutes. 1 hour and 10 minutes- 30 minutes is equal to 40 minutes. This is the answer.

Hope this helps!!  

7 0
3 years ago
Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
zavuch27 [327]

Answer:

C.

Step-by-step explanation:

The line that is a perpendicular bisector of the segment connecting the two points.

6 0
2 years ago
Read 2 more answers
Hannah paid $8.63 at the grocery store for beans and potatoes. She bought 4 pounds of beans at $0.62 per pound and 5 pounds of p
irina [24]

Answer:

$1.23

Step-by-step explanation:

First start off by multiplying $0.62 by 4 to find out the total she paid for all four pounds of beans. This would give you $2.48 spent on beans. Subtract $2.48 from the total amount spent ($8.63). You now have $6.15 left on what she could have spent on 5 pounds of potatoes. Do $6.15 divided by 5 to get an answer of $1.23. Hannah paid $1.23 per pound for the potatoes.

5 0
3 years ago
What is the right answer​
Airida [17]

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.

8 0
3 years ago
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1 year ago
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