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Analyze the condition that can lead to satellite path diversity
Show that T(x1, x2, x3, x4) = 3x1 −7x2 + 5x4 is a linear transformation by finding the
matrix for the transformation. Then find a basis for the null space of the transformation.
Two charges are found to be 0.20 m apart. The charge of the first is twice the charge of the second. If the magnitude of the second charge is 1 nC, find the force experienced by the first charge due to the second charge.
The probability distribution of X, the number
of imperfections per 10 meters of a synthetic fabric in
continuous rolls of uniform width, is given by
x 01234
f(x) 0.41 0.37 0.16 0.05 0.01
Construct the cumulative distribution function of X.
What is the main difference between cardinal and ordinal utility approaches?
Write a program that will get the average of all integers from 1 to 20 using do-while loop.
The potential at the surface of a sphere (radius R) is given by
V_{0}=k \cos 6 \theta
V0
=kcos6θ ,
where k is a constant. Find the potential inside and outside the sphere, as well as the surface charge density σ (θ) on the sphere. (Assume there’s no charge inside or outside the sphere.)
determine whether the homogeneous system has nontrivial solutions by inspection (without pencil and paper).
2x1 − 3x2 + 4x3 − x4 = 0,
7x1 + x2 − 8x3 + 9x4 = 0,
2x1 + 8x2 + x3 − x4 = 0
solve the linear system by gauss-jordan elimination
− 2b + 3c = 1 ,
3a + 6b − 3c = −2,
6a + 6b + 3c = 5
solve the linear system by gaussian elimination
x − y + 2z − w = −1,
2x + y − 2z − 2w = −2 ,
−x + 2y − 4z + w = 1 ,
3x − 3w = −3
#339914 on Dec 2023