Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result by differentiation . ∫ x 4 − 3 x 2 + 5 x 4 d x
Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result by differentiation . ∫ x 4 − 3 x 2 + 5 x 4 d x
Solution Summary: The author explains how to calculate the solution of the indefinite integral, which is expressed as x+3x, and check the result by differentiation.
Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result by differentiation.
∫
x
4
−
3
x
2
+
5
x
4
d
x
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 4 Solutions
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