math Actual Questions and Correct Answers
Q1
Find 5(1+ln2) y(1) if y solves y+y = 2t, y(0)=1/(1+ln2).
Answer: 10
Q2
Find 4 f(0) if f(x)=∫₀^{g(x)} sin⁴(πs/4) ds, g(x)=e^{11x}.
Answer: 11
Q3
Find 24 f(0) if f(x)=∫₀^{g(x)} sin²(πs/2) ds, g(x)=e^{13x}.
Answer: 12
Q4
Find 39√3/(4√2) e^A if A = ∫₃² 1/(x³−x) dx.
Answer: 13
Q5
Find −5( y(ln2) − ln2 − 11/5 ) if y solves y=(t−y)², y(0)=0.
Answer: 14
Q6
Find −15(e^{−1/2}−1)y(1/2) if y solves y = 2ty² + y, y(0)=1.
Answer: 15
Q7
Find 2M+19−8ln2 if M = ∫₂¹ x ln(x²) dx.
Answer: 16
Q1
Find 5(1+ln2) y(1) if y solves y+y = 2t, y(0)=1/(1+ln2).
Answer: 10
Q2
Find 4 f(0) if f(x)=∫₀^{g(x)} sin⁴(πs/4) ds, g(x)=e^{11x}.
Answer: 11
Q3
Find 24 f(0) if f(x)=∫₀^{g(x)} sin²(πs/2) ds, g(x)=e^{13x}.
Answer: 12
Q4
Find 39√3/(4√2) e^A if A = ∫₃² 1/(x³−x) dx.
Answer: 13
Q5
Find −5( y(ln2) − ln2 − 11/5 ) if y solves y=(t−y)², y(0)=0.
Answer: 14
Q6
Find −15(e^{−1/2}−1)y(1/2) if y solves y = 2ty² + y, y(0)=1.
Answer: 15
Q7
Find 2M+19−8ln2 if M = ∫₂¹ x ln(x²) dx.
Answer: 16
