Back to postsDaily · 2026-05-17Daily math problems for May 17, 2026 — Complex Numbers, Analytic Geometry, CalculusOne bite-sized math problem set for the day. Solve the 3 multiple-choice problems and reveal the worked solutions.1 / 3🇷🇴 RO M1Beginnercomplex-numbersCompute the modulus of .33445577Submit answerProblems & worked solutions🇷🇴 RO M1Problem 1 — Complex NumbersCompute the modulus of z=3+4iz=3+4i.Show answer & worked solutionA. 33B. 44C. 55✓ correctD. 77∣z∣=32+42=25=5∣z∣=32+42=25=5.🇷🇴 RO M1Problem 2 — Conic SectionsFind the radius of the circle x2+y2−4x+6y+4=0x2+y2−4x+6y+4=0.Show answer & worked solutionA. 11B. 22C. 33✓ correctD. 44(x2−4x)+(y2+6y)=−4⇒(x−2)2−4+(y+3)2−9=−4⇒(x−2)2+(y+3)2=9(x2−4x)+(y2+6y)=−4⇒(x−2)2−4+(y+3)2−9=−4⇒(x−2)2+(y+3)2=9. Radius =3=3.🇷🇴 RO M1Problem 3 — Definite Integrals∫1elnx dx∫1elnxdx equals:Show answer & worked solutionA. 11✓ correctB. eeC. e−1e−1D. 00∫lnx dx=xlnx−x+C∫lnxdx=xlnx−x+C. Evaluate: (e⋅1−e)−(1⋅0−1)=0−(−1)=1(e⋅1−e)−(1⋅0−1)=0−(−1)=1.Practise these topicsComplex NumbersConic SectionsDefinite Integrals 2026-05-16All posts2026-05-18
🇷🇴 RO M1Problem 1 — Complex NumbersCompute the modulus of z=3+4iz=3+4i.Show answer & worked solutionA. 33B. 44C. 55✓ correctD. 77∣z∣=32+42=25=5∣z∣=32+42=25=5.
🇷🇴 RO M1Problem 2 — Conic SectionsFind the radius of the circle x2+y2−4x+6y+4=0x2+y2−4x+6y+4=0.Show answer & worked solutionA. 11B. 22C. 33✓ correctD. 44(x2−4x)+(y2+6y)=−4⇒(x−2)2−4+(y+3)2−9=−4⇒(x−2)2+(y+3)2=9(x2−4x)+(y2+6y)=−4⇒(x−2)2−4+(y+3)2−9=−4⇒(x−2)2+(y+3)2=9. Radius =3=3.
🇷🇴 RO M1Problem 3 — Definite Integrals∫1elnx dx∫1elnxdx equals:Show answer & worked solutionA. 11✓ correctB. eeC. e−1e−1D. 00∫lnx dx=xlnx−x+C∫lnxdx=xlnx−x+C. Evaluate: (e⋅1−e)−(1⋅0−1)=0−(−1)=1(e⋅1−e)−(1⋅0−1)=0−(−1)=1.
