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Find the derivative of \( f(x) = e^{\sin(x)} \)

Using the substitution rule for definite integrals, which is equal to \[ \int_1^2 \frac{(\ln x)^2}{x} dx \]

Find the limit \[ \lim\limits_{x \to -3} \frac{x^2 – 2x – 15}{x + 3} \]

What is the limit definition of this definite integral? \[ \int_{-\pi/2}^{3\pi/2} \cos(x)\, dx \]

Find the derivative of \( f(x) = (\ln 4x)^3 \).

Evaluate \[ \int_2^4 \frac{4x^3 + 2}{x^2} dx \]

Evaluate the integrals:   (a) \( \mathop{\int}_{0}^{1} 27x^2 \sqrt{3x^3 + 1} \, dx \)   (b) \( \int \frac{\sec^2(x)}{\tan(x)} \, dx \)

What is the most credible source of Synergies?

Use Figure B to answer the following question: What is the amount of Equity for Pro Forma New Buyer? (Box labeled “E” in the figure)

Use Figure B to answer the following question: What is the amount of Goodwill for Pro Forma New Buyer?  (Box labeled “G” in the figure)