MTH603 Quiz 3 Solution and Discussion

cyberian

in solving the follwing differnital equation
y =x+y; y(0)=1
h=0.2

cyberian

@cyberian said in MTH603 Quiz 3 Solution and Discussion:

in solving the follwing differnital equation
y =x+y; y(0)=1
h=0.2

To solve the differential equation



𝑦
′
=
𝑥
+
𝑦
y 
′

=x+y with the initial condition

𝑦
(
0
)
=
1

y(0)=1 using the step size

ℎ
=
0.2

h=0.2, we can use the Euler method. Here are the steps:

cyberian

which of the following points the max value of 2nd deruvative of function f(x)=-(2/x) in the inteval : [1,4] exits

cyberian

@cyberian said in MTH603 Quiz 3 Solution and Discussion:

which of the following points the max value of 2nd deruvative of function f(x)=-(2/x) in the inteval : [1,4] exits

To find where the maximum value of the second derivative of the function

𝑓
(
𝑥
)
=
−
2
𝑥
f(x)=− 
x
2


[
1
,
4
]

[1,4], we will first find the second derivative of the function and then determine where it achieves its maximum value within the given interval.

zaasmi

@cyberian said in MTH603 Quiz 3 Solution and Discussion:

which of the following reason lead towards the numerical integration methods?

Analytical evaluation of integral is very complicated
All above choices are true
Integrand is given in tabular form
Analytical evaluation of integral is impossible

The reasons that lead towards the use of numerical integration methods include:

Analytical evaluation of integral is very complicated
Integrand is given in tabular form
Analytical evaluation of integral is impossible
Therefore, the correct answer is: All above choices are true

zaasmi

In Simpson’s 3/8 rule, the global error is of ………………

Select correct option:
O(h2)
O(h3)
O(h4)
None of the given choices

zaasmi

Question # 2 of 10 ( Start time: 09:05:21 PM ) Total Marks: 1
Zero-th order divided difference is defined as

Select correct option:
y[x0]=x0
y[x0]=y1
y[x0]=y0
None of the given choice

zaasmi

Question # 3 of 10 ( Start time: 09:05:56 PM ) Total Marks: 1

To take the derivative of f(x) = 2x in the interval [-3,3], which of the following partition of subintervals will be suitable?

Select correct option:
Equally spaced
Unequally spaced
Union of equally spaced and unequally spaced intervals.
Any arbitrary partition will work

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MTH603 Assignment 1 Solution and Discussion

MTH603 Quiz 3 Solution and Discussion

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