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### Question #2002360: Substitution and Change of variables

Question: Integrate \(\int{\frac{{{\sec }^{2}}x}{2+\tan x}}dx\) Solution: The solution consists of 29 words (1 page)Deliverables: Word Document

### Question #2002521: Integration By Parts

Question: Evaluate \[\int{\arcsin \sqrt{y}dy}\] Solution: The solution consists of 96 words (2 pages)Deliverables: Word Document

### Question #2000022: Fundamental Theorem of Calculus (FTC)

Question: Evaluate the following: a) \[\frac{dy}{dx}\] if y= \[\frac{x}{\sin x}\] b) f “(x) if f(x)=x5+3x2-6 c) \[\frac{dy}{dx}\] if x2y3+y3=4 d) the rate of change of f(x)=esinx at x=0 e) \[\int\limits_{1}^{2}{\frac{1}{x}dx}\]…

### Question #2000039: Chain Rule

Question: As pumpkin pie filling is poured into its shell, it forms a circle. The radius of the pie filling is increasing at a rate of one centimeter per second.…

### Question #2000037: Substitution and Change of variables

Question: Evaluate the following: a) \[\int\limits_{1}^{2}{({{x}^{2}}+3})dx\] b) \[\int{x{{({{x}^{2}}+1)}^{7}}dx}\] c) \[\int{\sec x\tan xdx}\] Solution: The solution consists of 68 words (1 page)Deliverables: Word Document

### Question #2002686: Derivatives: General Problems

Question: Find the equation of the plane perpendicular to the curve described by the parametric equation\[R\left( t \right)=i\left( t+2 \right)+j\left( {{t}^{2}}+1 \right)+k\left( {{t}^{3}}+1 \right)\], for \[t>0\], at point that corresponds…

### Question #2002757: Other Calculus Problems

Question: Given \(f(x)=\frac{x-4}{{{x}^{2}}-16}\), find all points where f is not defined (and therefore not continuous). For each such point, tell whether or not the discontinuity is removable. Solution: The solution…

### Question #2002965: Derivatives: General Problems

Question: Apply the second derivative test to find the local and global extrema and the points of inflection of \(f\left( x \right)=7-6x-{{x}^{2}}\). Solution: The solution consists of 60 words (1…

### Question #2002981: Other Calculus Problems

Question: Use an infinite series to approximate \(\sin \left( \frac{\pi }{17} \right)\) accurate to 3 decimal places Solution: The solution consists of 81 words (1 page)Deliverables: Word Document