Maple1231W4T5 - Further Calculus

Sunday, 19 August 2018

7:29 PM

$Machine generated alternative text: Find the partial fraction decomposition of where p (x) = 11 - 86 - 82 x7 + 885 + 2598 - 1337 A - 26066 x3 - 59509 - 62701 x - 31377 and 10 -2x9 —59m +104/ +710x6 +956x -3746T 4 — 15272 and enter it in the box below To prevent typing errors, you can copy and paste - 25895 x - 22650 - 7875 p 11 *x-31377; into your Maple worksheet and copy and paste the Maple output into the answer box. This question accepts formulas in Maple syntax Plot Help I Preview$

Machine generated alternative text:
convert parfac, x
2x—3
(x (G 21 3)

Machine generated alternative text:
Use Maple to find the solution of the differential equation
d
— sin@) + 3 x
subject to the initial condition y(O) = O.
Using Maple syntax, copy (Ctrl-C) your answer from your Maple worksheet and paste (Ctrl-V) in the answer box the solutiom Do NOT enter the y(x)- part of the Maple output
This question accepts formulas in Maple syntax
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Machine generated alternative text:
dsolve( x) y(x) = sin(x) 3 sy(O) = O))
cos(x) + — sin(x) + 3 x 3
2

Machine generated alternative text:
dsolve( {y(x) xS2) dtmy(x), = = 1 , D(y) (O) = 3))
I -+61

Machine generated alternative text:
Consider the product
1900
11
170
Create a Maple expression using "product" or "mul" that produces this product and enter it in the box below (Your answer should be of the form "'product(_,_)" and not include and assignment '
or semi-colon
170 1900)
This question accepts formulas in Maple syntax
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Machine generated alternative text:
Suppose that a function f has derivatives of all orders at a. The the series
DO
is called the Taylor series for f about a, where f (n) is the n th order derivative of f.
Suppose that the Taylor series for e sin (3 x) about 0 is
f(k) (a)
k!
ao + alt -k +
Enter the exact value of in the box below
243/280
• • •4-a9X

Machine generated alternative text:
tolor( exp( 3 x)
81 x-6
31 912
sin(3 x),
1-0:10);
81 x:
243
70
o(