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12 Σεπ 2019 · We will derive formulas to convert between cylindrical coordinates and spherical coordinates as well as between Cartesian and spherical coordinates (the more useful of the two). Here is a set of practice problems to accompany the notes for Paul Dawkins Calculus II course at Lamar University.
- Improper Integrals
Improper Integrals - Calculus II (Practice Problems) - Pauls...
- Polar Coordinates
10.6 Integral Test; 10.7 Comparison Test/Limit Comparison...
- Hydrostatic Pressure and Force
Hydrostatic Pressure and Force - Calculus II (Practice...
- Absolute Convergence
Absolute Convergence - Calculus II (Practice Problems) -...
- Special Series
Special Series - Calculus II (Practice Problems) - Pauls...
- Integral Test
In this section we will discuss using the Integral Test to...
- Integration Strategy
10.6 Integral Test; 10.7 Comparison Test/Limit Comparison...
- Parametric Equations and Curves
Section 9.1 : Parametric Equations and Curves. To this point...
- Improper Integrals
The Calculus 2 Practice Tests cover all the main concepts of calculus, including derivatives, Euler’s method, integrals, Lagrange error, L'Hopital's rule, limits, parametric, polar, Taylor and Maclaurin series, and vectors.
Calculus II (UN1102) Section 2 Final Exam Example Time Limit: 3hrs Name: UNI: Please write your name and UNI above. The exam consists of eight problems, each worth 20 points. No calculators are allowed in the exam. Please write neatly, and please justify your answers. You are free to use any trigonometric identities that you remember without ...
PRACTICE EXAM. SOLUTIONS. Please answer all of the questions, and show your work. You must explain your answers to get credit. You will be graded on the clarity of your exposition! Date: December 12, 2018. Consider the region bounded by the graphs of f (x) = x2 + 1 and g(x) = 3 x2.
16 Νοε 2022 · In this section we will discuss using the Integral Test to determine if an infinite series converges or diverges. The Integral Test can be used on a infinite series provided the terms of the series are positive and decreasing. A proof of the Integral Test is also given.
Calculus II Final Exam Practice Problems. (a) Sketch the conic section. Find and label any foci, vertices, and asymptotes. ( x − 3 ) 2 − 9 y 2 = 36. (b) Find the equation of the ellipse with foci (0, 2) and semi-major axis length 3. (a) Find the area of one petal of the rose r = 4sin(3 ).
Calc II: Practice Final Exam 4 Part II. Sequences and Numerical series. 1. Determine whether the sequence converges or diverges. If it con-verges, nd the limit. (a) an= nsin(2=n) It converges to 2, using L’Hopital (lim x!0 sin2x x = 2:) (b) an= 2n=n! 0 <an 4=n!0; hence an converges to 0 by the squeeze theorem. 2.