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IGNOU MTE 7 2024 Solution

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Rs. 50

Last Date of Submission of IGNOU MTE-07 (BSC) 2024 Assignment is for January 2024 Session: 30th September, 2024 (for December 2024 Term End Exam).
Semester Wise
January 2024 Session: 30th March, 2024 (for June 2024 Term End Exam).
July 2024 Session: 30th September, 2024 (for December 2024 Term End Exam).

Title Name	ignou MTE 7 solved assignment 2024
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BSC
Course Name	Bachelor in Science
Subject Code	MTE 7
Subject Name	Advanced Calculus
Year	2024
Session	-
Language	English Medium
Assignment Code	MTE-07/Assignmentt-1//2024
Product Description	Assignment of BSC (Bachelor in Science) 2024. Latest MTE 07 2024 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU MTE-07 (BSC) 2024 Assignment is for January 2024 Session: 30th September, 2024 (for December 2024 Term End Exam). Semester Wise January 2024 Session: 30th March, 2024 (for June 2024 Term End Exam). July 2024 Session: 30th September, 2024 (for December 2024 Term End Exam).
Assignment Code	MTE 7/2024

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Rs. 50

Questions Included in this Help Book

Ques 1.

State whether the following statements are true or false. Justify your answer.

a) $\lim_{x\rightarrow 0}\left ( \frac{1}{x^2} -\frac{1}{sin^2x}\right )$ is in $\left ( \frac{0}{0} \right )$ form.

Ques 2.

b) $f(x,y)=\frac{sin\left ( \frac{x^2y}{x^3+y^3} \right )}{1n\left ( \frac{x+y}{x} \right )}$ is a homogeneous function of degree

Ques 3.

Domain of $f(x,y)=\frac{xy}{x^4+y^3}$ is $R^2.$

Ques 4.

d) The function $f (x,y)=x^3+y+1,x^2+y^2)$

is locally invertible at $(1,2).$

Ques 5.

e) The function $f(x,y)=x^3+y+1x^2+y^2)$ is locally invertible at $(1,2).$

Ques 6.

e) The function $f(x,y)=x^3+y^3$ is integrable on ]2,1[ × ]3,1 $[1,2]\times [1,3].$

Ques 7.

a) Examine whether $\lim_{x\rightarrow 0}\frac{e^{1/x}}{e^{1/x}+1}$ exists or not.

Ques 8.

b) If $f(x,y)=\left\{\begin{matrix} x \,sin\left ( \frac{1}{y} \right )+y\,sin\left ( \frac{1}{x} \right ),&xy\neq 0 \\ 0, & xy=0 \end{matrix}\right.,$

is continuous at the origin.

Ques 9.

a) Find the mass of an object which is in the form of a cuboid $[0,1]\times [2,4]\times [1,3].$ The density at any poin $(x,y,z)$ on the cuboid is given by $\delta (x,y,z)=x(2+y^2+z^2).$