Math150FinalS11

# Math150FinalS11 - Math 150 Name FINAL PART 1 MATH 150 SPRING 2011 KUNIYUKI PART 1 135 POINTS PART 2 115 POINTS TOTAL 250 POINTS No notes books or

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Math 150 Name: ________________________ FINAL - PART 1 MATH 150 – SPRING 2011 – KUNIYUKI PART 1: 135 POINTS, PART 2: 115 POINTS, TOTAL: 250 POINTS No notes, books, or calculators allowed. 135 points total; 3 points for each of 45 problems. You do not have to algebraically simplify or box in your answers, unless you are instructed to. DERIVATIVES (69 POINTS TOTAL) D x x 7.4 () = D x x sin x = D x x 4 x 8 + 3 ± ² ³ ´ µ = (Use the Quotient Rule!) D x ln x 6 ± ² ³ ´ µ = D x sin 9 x ± ² ³ ´ = D x cos x = D x tan x = D x cot x = D x sec x = D x csc x = TURN OVER THE SHEET! THERE’S MORE!

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MORE! D x e 12 x + 1 () = D x 3 x = D x 8 x 3 = D x ln 2 x ± 1 ² ³ ´ µ = D x log 5 x = D x sin ± 1 x = D x cos ± 1 x = D x tan ± 1 x = D x sec ± 1 x = (Assume the usual range for sec ± 1 x in our class.) D x tan ± 1 3 x ² ³ ´ µ = D x sinh x = D x cosh x = D x sech x =
INDEFINITE INTEGRALS (39 POINTS TOTAL) x 6 dx ± = 1 x dx ± = 7 x dx ± = sin xdx ± = cos ± = tan ± = cot ± = sec ± = csc ± = csc 2 ± = 1 36 ± x 2 dx ² = 1 36 + x 2 dx ± = cosh ± = WARNING : YOU'VE BEEN DEALING WITH INDEFINITE INTEGRALS. DID YOU FORGET SOMETHING? TURN OVER THE SHEET! THERE’S MORE!

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INVERSE TRIG FUNCTIONS (6 POINTS TOTAL) If fx () = sin ± 1 x , what is the range of f
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## This note was uploaded on 09/08/2011 for the course MATH 150 taught by Professor Bart during the Spring '06 term at Mesa CC.

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Math150FinalS11 - Math 150 Name FINAL PART 1 MATH 150 SPRING 2011 KUNIYUKI PART 1 135 POINTS PART 2 115 POINTS TOTAL 250 POINTS No notes books or

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