Advanced Calculus Challenge: Limits, Series, and Multivariable Mastery | Quiz Zone

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Advanced Calculus Test

Mathematics & Logic

Advanced Calculus Test

Test of advanced calculus concepts through seven demanding multiple-choice items.

#series#limits#integrals#differential equations#multivariable#Taylor series#vector calculus

Quiz Intelligence

Total Questions

7

Difficulty Level

hard

Progress

0/0

0%

Quiz Questions

Answer all questions below and test your knowledge.

1
Compute the improper integral ∫_{1}^{∞} 1/x^2 dx.
Question 1
2
Solve dy/dx = y^2 with y(0)=1. Which expression describes y(x)?
Question 2
3
What is the limit of sin(x)/x as x approaches zero?
Question 3
4
The infinite series Σ_{n=1}^{∞} 1/n^2 converges to which constant?
Question 4
5
For the power series Σ_{n=0}^{∞} n! x^n, what is the radius of convergence?
Question 5
6
Evaluate the line integral of F(x,y) = (y, x) along the straight segment from (0,0) to (1,1).
Question 6
7
What is ∫_{0}^{1}∫_{0}^{1} e^{x+y} dx dy ?
Question 7

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