# math, calculus 2

Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals.

First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx

What is the value of a, b, c and what are f(x) and g(x) equal to?

Alternatively this area can be computed as a single integral

integrate from alpha to beta of h(y)dy
Alpha=?, Beta=?, h(y)=?

Either way we find that the area is: ?

1. 👍
2. 👎
3. 👁
1. the graphs intersect at (12,4) and (21,-5)

a = ∫[-4,12] 2√(x+4) dx + ∫[12,21] 16-x+√(x+4) dx

a = ∫[-5,4] (16-y) - (y^2-4) dy

a = 243/2

1. 👍
2. 👎
2. how did you get the -4 in your first step? i don't understand where that came from

1. 👍
2. 👎

## Similar Questions

1. ### Science

X:22 Y:18 Z:18 Air will move from______. Área z to area y Área y to área z Área x to área z Área y to área X========

2. ### calc. 1

You are designing a poster with area 625cm^2 to contain a printing area having margins of 1cm at the top and bottom and 5cm on the sides. Find the largest possible printing area. Round your answer to the nearest four decimal

3. ### Social studies

What will happen in an area where large deposits of a desired mineral are found? Select the two correct answers. The area will experience a short term economic boom.*** Tourism in the area will increase in the short term People in

4. ### math (8)

Find the area of the region enclosed by these graphs and the vertical lines x = 3 and x = 5 f(x)=x^2+5 g(x)=1

1. ### Science

Which of the following statements about topography is correct? A. The topography of an area includes the area’s elevation, relief, and landforms. B. The topography of an area includes the area’s oceans and seas. C. The

2. ### Calculus

Find the area of the region bounded by the graphs of y = 2 − x2 and y = −x.Find the area of the region bounded by the graphs of y = 2 − x2 and y = −x.

3. ### Calculus

find the area of the region bounded by the graphs of y=-x^2+5x+2 and y=2

4. ### Calculus

What is the difference between "area" and "net area" in calculus? I'm doing homework dealing with definite integrals and some problems ask for area and some ask for net area. Thank you for your help in advance. 😀

1. ### Calculus

How fast is the area of a square increasing when thh side is 3m in length and growing at a rate of 0.8m/min? I did Area=x^2 Area'=2x(x') x'=area'/2xz x'=0.8/((2)(3)) Where did I go wrong? Thanks in advance.

2. ### AP Calculus AB

What is the area of the region bounded by the graphs y=e^x, y=1, x=-1?

3. ### Calculus

Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed in two different ways using integrals 1) Compute as a sum of two integrals 2) Compute as a single integral 3) Either way, what is the area? __ So

4. ### Math

A rectangle has sides of 10 and 12 units.How can the area of a square be computed if it has the same perimeter of the rectangle?