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mathematics
june 2018
3

Mathematics Questions and Answers June 3, 2018

Expert-verified solutions to help you succeed

find the 5 unit moving of function g ( x ) = 1 1 - x ^ 3

Let C be the positively oriented square with vertices ( 0 , 0 ) , ( 1 , 0 ) , ( 1 , 1 ) , ( 0 , 1 ) . Use Green's Theorem to evaluate the line integral integral _ C 1 0 y ^ 2 xdx + 3 x ^ 2 ydy .

Beginning with 2 3 grams of a radioactive element whose half - life is 3 5 years, the mass y ( in grams ) remaining after t years is given byy = 2 3 1 2 t / 3 5 , t 0 . How much of the initial mass remains after 1 9 0 years? ( Round your answer to three decimal places.

Solve for x only in the following set of simultaneous equations by using D - operator methods: Dx ( D 1 ) y = 2 et x + ( D 1 ) y = e 3 t

Submission 1 ( 3 . 7 5 / 6 . 2 5 points ) Monday , July 2 8 , 2 0 2 5 0 6 : 4 0 PM EDT LarCAApCalc 2 8 . 4 . 0 4 8 . A fast - food restaurant determines the cost and revenue models for its hamburgers. C = 0 . 5 x + 7 1 0 0 , 0 x 5 0 , 0 0 0 R = 1 1 0 , 0 0 0 ( 6 4 , 0 0 0 x x 2 ) , 0 x 5 0 , 0 0 0 ( a ) Write the profit function for this

onstruct a function f:R Rf: \ mathbb { R } \ to \ mathbb { R } f:R R such that: limx 0 f ( x ) \ lim _ { x \ to 0 } f ( x ) limx 0 f ( x ) exists, and For every x 0 x e 0 x = 0 , the limit limx xf ( x ) \ lim _ { x \ to x } f ( x ) limx x f ( x ) does not exist.

Determine the following indefinite integral. 9 - 2 s i n y c o s 2 y d y 9 - 2 s i n y c o s 2 y d y =

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