<em>CA </em>⁻¹ is undefined because there are more columns in <em>A </em>⁻¹ than there are rows in <em>C</em>.
Another triple integral. We're integrating over the interior of the sphere
Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.
For the middle integral we have
x is the inner integral so at this point we conservatively say its zero. That means y goes from and
Similarly the inner integral x goes between
So we rewrite the integral
Let's work on the inner one,
There's no z in the integrand, so we treat it as a constant.
So the middle integral is
I gotta go so I'll stop here, sorry.
Answer:
Triangle PRT is similar to triangle SRQ
Step-by-step explanation:
AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
one angle is already given : angle RPT congruent to angle RSQ
The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)
Triangle PRT is similar to triangle SRQ (AA postulate)
Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72