Just to go into more detail than I did in our PMs and the comments on your last question...
You have to keep in mind that the limits of integration, the interval
, only apply to the original variable of integration (y).
When you make the substitution
, you not only change the variable but also its domain. To find out what the new domain is is a matter of plugging in every value in the y-interval into the substitution relation to find the new t-interval domain for the new variable (t).
After replacing
and the differential
with the new variable
and differential
, you saw that you could reduce the integral to -1. This is a continuous function, so the new domain can be constructed just by considering the endpoints of the y-interval and transforming them into the t-domain.
When
, you have
.
When
, you have
.
Geometrically, this substitution allows you to transform the area as in the image below. Naturally it's a lot easier to find the area under the curve in the second graph than it is in the first.
Correct
a right triangle will have 1 right angle and 2 acute angles.
an obtuse triangle will have 1 obtuse triangle and 2 acute angles.
Answer:
Length = 8
Step-by-step explanation:
If Area = L • W then if we have the area and the width we should divide the Area by the width to get the length.
6 2/5 divided by 4/5 = 8
Steps:
1) convert 6 2/5 to improper fraction and switch sign: 32/5 • 5/4 = 8
Hope I helped!
Answer:
The width of the andre is 5×5×5=15
Then surface area will be length ×width=15×10=50
Answer:
3/4
Step-by-step explanation: