For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
For Exercises 5-8 a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the determinant from part (a), can an inverse matrix or Cramer's rule be used to solve the system? c. Solve the system using an appropriate method. x − 3 y + 7 z = 1 − 2 x + 5 y − 11 z = − 3 x − 5 y + 13 z = − 1
Solution Summary: The determinant of the coefficient matrix for the given system of equations is 0.
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY