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Question

asked 2020-11-09

Q) The system of differential equations \(\displaystyle{x}′={t}{y}+{5}{\left({\sin{{t}}}\right)}{y}−{3}{e}^{{t}},{y}′={t}^{{2}}{x}−{7}{x}{y}−{1}\) is a ﬁrst-order linear system of differential equations.

asked 2021-02-26

The top string of a guitar has a fundamental frequency of 33O Hz when it is allowed to vibrate as a whole, along all its 64.0-cm length from the neck to the bridge. A fret is provided for limiting vibration to just the lower two thirds of the string, If the string is pressed down at this fret and plucked, what is the new fundamental frequency? The guitarist can play a "natural harmonic" by gently touching the string at the location of this fret and plucking the string at about one sixth of the way along its length from the bridge. What frequency will be heard then?

asked 2021-07-03

A college student makes the following statement: If I receive an A in both Calculus I and Discrete Mathematics this semester, then I’ll take eitherCalculus II or Computer Programming this summer. For each of the following, determine whether this statement is true or false. (a) The student doesn’t get an A in Calculus I but decides to take Calculus II this summer anyway. (b) The student gets an A in both Calculus I and Discrete Mathematics but decides not to take any class this summer. (c) The student does not get an A in Calculus I and decides not to take Calculus II but takes ComputerProgramming this summer. (d) The student gets an A in both Calculus I and Discrete Mathematics and decides to take both Calculus II and Computer Programming this summer. (e) The student gets an A in neither Calculus I nor Discrete Mathematics and takes neither Calculus II norComputer Programming this summer.

asked 2021-08-11

In the picture below, determine how many circles with a radius of 0.04" can fit into a 5.0" box. Enter your answer as a whole number