In summary, to solve the initial value problem with the given piecewise function, first solve for the case where 0 < k < 4, and then use that solution to find A and B in order to solve the problem for the general case. Homework Statement Consider the initial value problem y'' +1...
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In summary, the problem is that the homework statement is giving a piecewise function which has an on/off moment at 4 and 5 seconds, but the graph does not match. The student is struggling to solve the equation for f(t) which should be written as a function of unit step functions and...
How to solve a piecewise word problemJonas owns a popular coffee shop called Java the Hut. The shop hours are 7 am to 8 pm and Saturdays are always the stores busiest days. Jonas was working hard to sell as much coffee as possible, so He opened up at exactly 7 and sold 80 cups of...
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Learn about piecewise functions. See a piecewise function example to learn how to write a piecewise function and to learn about evaluating piecewise functions. Related to this Question A cubic spline is defined by S(x) = \left\{\begin{matrix} 1+a(x-1)-b(x-1)^{3}, (1,2) 1+c(x...
Step 2 Set the two limits equal to each other and solve. 103+bbb=7=7−103=113103+b=7b=7−103b=113 Answer: b=113b=113 Practice ProblemsProblem 1 Evaluate limx→2f(x)limx→2f(x) when ff is defined as follows. f(x)={32x+7,3x+4,x<2x≥2f(x)={32x+7,x<23x+4,x≥...
I know how to apply piecewise functions with numbers, but it does not allow me to use variables on the start-end intervals or in the "function", where you specify the function for each tram. Do you know a way to do it? I really need to define a function, continuous and derivable,...
symsx y R r=(((x-2).^2)+((y-4).^2)==R.^2); z=(x/2)+1; [xc,yc]=solve(((x-2).^2)+(y-4).^2==R^2, (x/2)+1==y) %(b) subs(r,R,2) holdon fimplicit(((x-2).^2)+((y-4).^2)-R.^2) fimplicit(z) ...
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