We want to define and plot two functions and compute the area under each functio

Question

We want to define and plot two functions and compute the area under each function and under the difference and sum of the two functions.

a. Define function A(t)=3sint and B(t)=2Cost
b. Plot A(t) and B(t)
c. compute area under A(t) between [0,Pi]
d. compute area under B(t) between [0,Pi]
e. find area between the curves A(t) and B(t) between [0, Pi]
f. Define H(t)=A(t)+B(t)
g. plot H(t)
h. compute the area under H(t) between [0,Pi]



i know what operations to use to perform this on paper but the mathematica coding is throwing me off. thanks

Explanation / Answer

A[t_] = 3*Sin[t] B[t_] = 2*Cos[t] Plot[A[t], {t, 0, Pi}] Plot[B[t], {t, 0, Pi}] Area1 = Integrate[A[t], {t, 0, Pi}] Solve[B[t] == 0, t] (* We get x=pi/2 *) Area2 = Integrate[B[t], {t, 0, Pi/2}] + Abs[Integrate[B[t], {t, Pi/2, Pi}]] Plot[{A[t], B[t]}, {t, 0, Pi}] H[t_] = A[t] - B[t] Plot[H[t], {t, 0, Pi}]

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.