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### Question #2003774: The Fundamental Theorem of Calculus

Question: Evaluate the given definite integral using the fundamental of calculus Solution: The solution consists of 31 words (1 page)Deliverables: Word Document

### Question #2003803: The Fundamental Theorem of Calculus

Question: Apply the Fundamental Theorem of Calculus to find the derivative: \[H\left( x \right)=\int\limits_{2}^{{{x}^{2}}}{\sqrt{u-1}du}\] Solution: The solution consists of 24 words (1 page)Deliverables: Word Document

### Question #2003820: Integration by substitution and change of variables

Question: Evaluate \(\int{\frac{{{\log }_{3}}x}{2x}\text{ }}dx\) Solution: The solution consists of 29 words (1 page)Deliverables: Word Document

### Question #2003843: General Differentiation

Question: Given \(f(x)={{x}^{3}}-3{{x}^{2}}-9x+17\) a) Find \(f'(x)\) and locate the first order critical numbers b) Indicate the interval on which \(f\) is increasing and decreasing. c) Find both coordinates for the…

### Question #2003864: Other Calculus Problems

Question: There is exactly one point a where both right-hand and left-hand limit fail to exist. Describe the behavior of \(f\left( x \right)\) for x near that point. \[f\left( x…

### Question #2003883: Using the Product and Quotient Rule

Question: Differentiate \[f\left( x \right)=\frac{{{x}^{2}}-4}{{{x}^{2}}+4}\] Solution: The solution consists of 27 words (1 page)Deliverables: Word Document

### Question #2003899: Calculating Derivatives using the Chain Rule

Question: Differentiate: \[f\left( t \right)={{\left[ {{t}^{2}}+{{\left( 1+t \right)}^{4}} \right]}^{5}}\] Solution: The solution consists of 35 words (1 page)Deliverables: Word Document

### Question #2003915: Derivatives using the Chain Rule

Question: Differentiate: \[y=\sec \left( {{x}^{7}} \right)\] Solution: The solution consists of 26 words (1 page)Deliverables: Word Document

### Question #2003932: Calculating Derivatives using the Chain Rule

Question: Show that the obviously different functions \[{{F}_{1}}\left( x \right)=\frac{1}{1-x}\text{ and }{{F}_{2}}\left( x \right)=\frac{x}{1-x}\] are both antiderivatives of \(f\left( x \right)=\frac{1}{{{\left( 1-x \right)}^{2}}}\). What is the relationship between \({{F}_{1}}\left( x…