Vector Calculus Questions and Answers

3 Describe what is meant by the statement the period of y 1 sin x is 27

Find any asymptotes and holes in the graph of the rational function Verify your answers by using a graphing utility Enter your answers as a comma separated list If an answer does not exist enter DNE f x x 2x 1 7x x 8 vertical asymptote s hole s horizontal asymptote s X y X

Write the quotient in standard form Simplify your answer completely 11 2 i

Write the complex conjugate of the complex number 5 4i Multiply the number by its complex conjugate Simplify your answer completely

Write the complex number in standard form 4 36 2 2 3i

Review the incomplete steps in the derivation of the tangent sum identity Step 1 Original expression Step 2 Rewrite using the definition of tangent Step 3 Apply the sine sum identity and cosine sum identity Step 4 Step 5 Simplify using the definition of tangent tan x y sin x y cos x y sin x cos y cos x sin y cos x cos y sin x sin y Which action can be taken to the expression in Step 3 to give an expression for Step 4 divide both the numerator and denominator by sin x sin y divide both the numerator and denominator by sin x cos y O divide both the numerator and denominator by cos x sin y tan x tan y 1 tan x tan y