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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”}

Math Question 1: Calculate27÷(8-5)2

Evaluate the following integral: ∫ 1 e 3 x 2 ln ⁡ x   d x {“version”:”1.1″,”math”:”\int\limits_1^e 3x^2 \ln x ~dx”}

Aristotle’s concept of ethos is related to:

Which creates the fastest speed of sound?