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Write a function that takes an array A and reduces it to row echelon form, returning the modified array A. To do this, iterate over each row. Find the first non-zero column. Perform row operations so that (a) this first non-zero entry is set to one, and (b) all entries in this column but in rows with larger index are set to zero.
3.9. A hunter desires to go to a point northeast but because of a canyon
he goes ½ mile due east and then turns left and travels ¾ mile in a straight
direction in degrees did he travel in going the ¾ mile?
3-7. A stream has parallel banks and ie 1000 ft across. A boat has traveled
500 it in a straight line making 30° with the bank. At this instant find the distance the boat has gone parallel to the bank and the shortest distance to
the opposite bank.
3-5. A vector is 4 in. long and has a direction-sense of 60°.
(a) Resolve
the vector into horizontal and vertical components,
(b) Find the components
of this vector on lines making 15° and 75° with the horizontal. (c) Find the
components of this vector along and perpendicular to a line making 30° with
the horizontal,
3-3.
Given five vectors whose lengths and direction-senses are as follows:
Ac, is 1.5 in. long and 90°; Aa, is 1.25 in, long and 315°; Aay is 2 in. long and
0°; AQ, is 1.25 in. long and 225°; Ad, is 1.5 in. long and 45°. Find the vector
sum of the first four, and subtract Ad, from this resultant vector.
3-1. A vector Bb is 1 in. long and has a direction-sense of 45°. Vector Cc
is 1½ in. long and has a direction-sense of 150°. Find their vector sum.
ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f(x) = -4x5+ ______x-4 - 2468
2. f (x) =____x-3- _____x1/4 - 12x
3.f(x)= ____ "\\sqrt[4]{x}" "\\sqrt[4]{x^3} - \\underset{x^6} + \\frac{2}{3} x^6"
4.f (x) = "\\underset{x^-6}{=} -" ____ x2 + "\\sqrt[4]{x}"
.Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find a) A ∪ B. b) A ∩ B. c) A − B. d) B − A
An elevated level of sodium ions in the blood would be 0.155 mol L-1 and would be cause for concern. The average adult female has a total blood volume of 4.70 L. Calculate the total mass of sodium ions present when this concentration is found, assuming a blood volume of 4.70 L.
Consider an electric circuit with an inductance of 5 henries
and a resistance of 12 ohms in series with an e.m.f 120sin200t
volts. Find the current
#340153 on Dec 2023