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Unlike the mammalian heart, the reptilian heart has only three chambers, two atria and one ventricle.

The next two questions are the math questions for the exam. Make sure to write down supporting written work these problems.DO NOT SUBMIT OR CLOSE YOUR TEST before answering all the questions.

Evaluate the following integral: ∫ cos ⁡ x sin 3 ⁡ x   d x {“version”:”1.1″,”math”:”\int \sqrt{\cos x} \sin^3 x ~dx”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

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Set up, but do not evaluate, the integral for the arc length of the parametric curve defined by x ( t ) = 1 3 t 3 y ( t ) = 1 2 t 2 t ∈ [ 0 , 4 ] {“version”:”1.1″,”math”:”\begin{align*} x(t) &= \frac{1}{3} t^3 \\[5pt] y(t) &= \frac{1}{2} t^2 \\[10pt] t &\in [0,4] \end{align*}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

Evaluate the following integral: ∫ 1 e 3 1 x ln ⁡ x   d x {“version”:”1.1″,”math”:”\int\limits_1^{e^3} \frac{1}{x\sqrt{\ln x}} ~dx”}

Find the interval of convergence for the following series. Make sure to test the endpoints of your interval. ∑ n = 1 ∞ ( − 1 ) n x n n + 3 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty (-1)^n \frac{x^n}{\sqrt{n+3}}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

The formula for pulse duration is

Feline dilated cardiomyopathy was more common in house cats until the addition of _____________________ to commercial diets. 

Evaluate the following integral: ∫ 25 x 2 x 2 + 25   d x {“version”:”1.1″,”math”:”\int \frac{25}{x^2 \sqrt{x^2 + 25}} ~dx”}