rameen hamood

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These are questions asked by rameen hamood

Suppose that S={p1, p2, p3, p4},  where

              p1(x)=  71+73x−153x2−259x3−108x4+245x5,

              p2(x)=  37+189x+287x2−167x3+279x4−51x5,

              p3(x)=  -199−200x−62x2+59x3+262x4−70x5,

              p4(x)= 48+295x+18x2+235x3+209x4+279x5,  and

                p(x)= 6143+20711x+8974x2−30368x3+18964x4+17937x5.

 

To avoid typing errors, you can copy and past the following sequences to your Maple worksheet.

      

 

 

The polynomial p  is a linear combination of S  written in the form

 

αp1+βp2+γp3+δp4 .

 

Find a possible set of values for α, β, γ, δ.  Enter the values of α, β, γ, δ  as a sequence in the box below

 

[α,β,γ,δ]=

 

CAN ANYONE HELP ME WITH THIS QUESTION WITH A STEP BY STEP SOLUTION. TIA.

 

Suppose that S={u1,u2,u3,u4,u5,u6}⊂ℝ5  where

u1=  < 

u2 = <-65, -11, -47, 18, -15>

u3 = <-240, 90, -265, 495, -175:>

u4= <-53, 70, 84, -80, 61>

u5= <9, 0, 46, -55, -37>

u6 =< 176, -280, -520, 540, -96>

Find a possible set of values for λ1, λ2, λ3, λ4, λ5, λ6, not all zero, such that  

 

λ1u1+λ2u2+λ3u3+λ4u4+λ5u5+λ6u6=0 .

 

Enter the values of  λ1, λ2, λ3, λ4, λ5, λ6  as a sequence in the box below

 

[λ1, λ2, λ3, λ4, λ5, λ6]= 

 

Hint: There are infinitely many solutions for λ1, λ2, λ3, λ4, λ5, λ6 .   The solution given by Maple will be in terms of parameters. To get one possible set of values, not all zero, choose some nice values for the parameters.

 

CAN ANYONE HELP ME WITH THIS QUESTION. I DO NOT KNOW HOW TO APPROACH THIS QUESTION. CAN I GET A SETP BY STEP SOLUTION PLS. THANKS.

Write a Maple command to define the function f that is given by

f(x)=x^5+2*x^3+3 .

In the box below, enter the part of your Maple command that is to the right of the ":=".

(Do not include the semi-colon (";") at the end.)

 

The answer I typed in is x^5 + 2*x^3 + 3 but it is wrong. Can someone help me what am I missing. 

In Maple, the  function returns the ith prime number. Note that 1 is not a prime number. The first prime number is 2. For example,

 

 

First make sure that  and  are unassigned variables and then enter the Maple command

 

 

This tells Maple that  is a postive real number.  (You will see more on using "assume" later.)

 

Next, calculate the improper definite integral of

 

(8sin(x)+11cos(x))e^(−52cx)

 

for  from 0 to ∞ and assign this to the variable .  (Notice that Maple displays  as  to indicate it that an assumption has been made about .)

 

Finally calculate the limit of  times  as  tends to infinity and enter the limit in the box below.  (Enter your answer exactly using Maple syntax, not as a decimal.)

 

Can someone please help me in this? I cant really understand this.

 

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