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 
Plot Help I Preview

 

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:
Use Maple to find the solution of the initial value problem 
2 
_4_ 
Y 
d x2 
0 with initial conditions y (0) 
1 and y' (0) — 
3 
Using Maple syntax, type in your answer in the box below, or copy (Ctrl-C) 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 
Plot Help I Preview

 

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 
Plot Help I Preview

 

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(

 

 

Created with Microsoft OneNote 2016.