Let f:â„2â†’â„2 be defined by f(x,y) = (ex+y, ex-y). The area of

Sail E0 Webinar

Question

Let f:â„2â†’â„2 be defined by f(x,y) = (ex+y, ex-y). The area of the image of the region {(x,y) âˆˆâ„2:0 < x,y < 1} under the mapping f is

Options:

A . 1

B . e - 1

C . e2

D . e2 - 1

Answer: Option D

-NA-

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Let x0 = 0. Define xn+1 = cos xn for every nâ‰¥0. Then ....

Question 2. Which of the following is a field? ....

Question 3. Let {an} be the sequence of consecutive positive solutions of the equation tan x = x and let {bn} be the sequence of co....positive solutions of the equation tan √x = x. Then

Question 4. For each Î» > 0, let XÎ» be a random variable with exponential density Î»e-Î»x on(0,âˆž). Then, Var(log XÎ�....variable with exponential density Î»e-Î»x on(0,âˆž). Then, Var(log XÎ»)

Question 5. The number of non-isomorphic abelian groups of order 24 is ______ ....

Question 6. Suppose X is a real-valued random variable. Which of the following values CANNOT be attained by E[X] and E[X2], respect....following values CANNOT be attained by E[X] and E[X2], respectively?

Question 7. Consider the following linear programming problem: Maximize x + 3y + 6z - wsubject to ....â‰¥ 0, w â‰¥ 0.Then the optimal value is ______

Question 8. Which of the following subsets of â„2 is NOT compact? ....

Question 9. Let â„‹ be a Hilbert space and let {en : n â‰¥ 1} be an orthonormal basis of â„‹. Suppose T:â„‹ â�....bounded linear operator. Which of the following CANNOT be true?

Question 10. Let f : â„‚\{3i}â†’â„‚ be defined by f(z) = (z-i)/(iz+3). Which of the following statements about f is F....(z-i)/(iz+3). Which of the following statements about f is FALSE?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0