## MAT B41 — Week 10

Posted in 2018 -- MAT B41, Lecture Notes by pgadey on 2018/07/17

(Photo by Ian Alexander) Homework #5 (tex) is available. Drop deadline next Monday.

There has been a minor change to the syllabus: Homework 6 will now be assigned in Week 11 and due in Week 12.

Geogebra Demonstrations:

Suggested Exercises:

• 5.1 Introduction to Double and Triple Integrals: 1,2,3,8,9,13
• 5.2 The Double Integral over a Rectangle: 1,2,3,4,5,6
• 5.3 The Double Integral over a More General Regions: 1,2,3,7,13

Past Finals:

• Final 2015: Find the volume of the solid $B$ bound by the parabolic cylinder $x = (y-4)^2 + 3$ and the planes $z=x+2y-4$, $z=x+4y-7$, and $x+2y=11$.
• Final 2015: Evaluate $\int_D e^{x+y} dA$ where $D$ is the region bounded by $y=x-1$ and $y=12-x$ for $2 \leq y \leq 4$.
• Final 2016: Evaluate $\int_D (1-2x) dA$ where $D$ is triangle with vertices $(0,0)$, $(2,3)$, and $(5,3)$.
• Final 2016: Evaluate $\int_0^1 \int_x^{\sqrt[3]{x}} e^{x/y} dy dx$.

Notes:

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