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 ten multiple-choice problems and reveal the worked solutions.1 / 3🇷🇴 RO M1Beginnercomplex-numbersCompute the modulus of .Submit answerProblems & worked solutions🇷🇴 RO M1Problem 1 — Complex NumbersCompute the modulus of z=3+4iz = 3 + 4iz=3+4i.Show answer & worked solutionA. 333B. 444C. 555 2026-05-16All posts2026-05-18
🇷🇴 RO M1Problem 1 — Complex NumbersCompute the modulus of z=3+4iz = 3 + 4iz=3+4i.Show answer & worked solutionA. 333B. 444C. 555
🇷🇴 RO M1Problem 2 — Conic SectionsFind the radius of the circle x2+y2−4x+6y+4=0x^2 + y^2 - 4x + 6y + 4 = 0x2+y2−4x+6y+4=0.Show answer & worked solutionA. 111B. 222C. 333✓ correctD. 444(x2−4x)+(y2+6y)=−4⇒(x−2)2−4+(y+3)2−9=−4⇒(x−2)2+(y+3)2=9(x^2 - 4x) + (y^2 + 6y) = -4 \Rightarrow (x - 2)^2 - 4 + (y + 3)^2 - 9 = -4 \Rightarrow (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
🇷🇴 RO M1Problem 3 — Definite Integrals∫1elnx dx\displaystyle\int_1^e \ln x \, dx∫1elnxdx equals:Show answer & worked solutionA. 111✓ correctB. eeeC. e−1e - 1e−1D. 000∫lnx dx=xlnx−x+C\int \ln x \, dx = x \ln x - x + C∫lnxdx=xlnx−x+C. Evaluate: (e⋅1−e)−(1⋅0−1)=0−(−1)=1(e \cdot 1 - e) - (1 \cdot 0 - 1) = 0 - (-1) = 1(e⋅1−e)−(1⋅0−1)=0−(−1)=1
