Register

TIFR ECE 2023 | Question: 11

• retagged by
504 views
0 0 votes

Consider the function

$$f(x)=x e^{|x|}+4 x^{2}$$

for values of $x$ which lie in the interval $[-1,1]$. In this domain, suppose the function attains the minimum value at $x^{*}$. Which of the following is true?

  1. $-1 \leq x^{*}<-0.5$
  2. $-0.5 \leq x^{*}<0$
  3. $x^{*}=0$
  4. $0<x^* \leq 0.5$
  5. $0.5<x^* \leq 1$

Please log in or register to answer this question.

Answer:
← Previous · TIFR ECE 2023 | Ques...Next → · TIFR ECE 2023 | Ques...
← Previous in category · TIFR ECE 2015 | Ques...Next in category → · TIFR ECE 2023 | Ques...
Position:
Show:
Voting & Accepting an answer helps improve the community

Related questions

0 0 votes
0 0 answers
545
545 views
admin asked Mar 14, 2023
545 views
TIFR ECE 2023 | Question: 10
Convolution between two functions $f(t)$ and $g(t)$ is defined as follows:$$f(t) * g(t)=\int_{-\infty}^{\infty} f(\tau) g(t-\tau) d \tau$$Let $u(t)$ be the unit-step func...
0 0 votes
1 1 answer
639
639 views
admin asked Mar 14, 2023
639 views
TIFR ECE 2023 | Question: 2
$\begin{array}{rlr}a^*=\max_{x, y} & x^2+y^2-8 x+7 \\ \text { s.t. } & \qquad x^2+y^2 \leq 1 \\ & \qquad \qquad y \geq 0\end{array}$Then $a^{\star}$ is$16$$14$$12$$10$Non...
0 0 votes
0 0 answers
436
436 views
admin asked Mar 14, 2023
436 views
TIFR ECE 2023 | Question: 9
Consider an $n \times n$ matrix $A$ with the property that each element of $A$ is non-negative and the sum of elements of each row is $1$.Consider the following statement...
0 0 votes
0 0 answers
806
806 views
admin asked Mar 14, 2023
806 views
TIFR ECE 2023 | Question: 3
Let\[\mathcal{P}=\left\{(x, y): x+y \geq 1,2 x+y \geq 2, x+2 y \geq 2,(x-1)^{2}+(y-1)^{2} \leq 1\right\} .\]Compute\[\min _{(x, y) \in \mathcal{P}} 2 x+3 y\]$2$$3$$4$$6$N...

Add Synced Question

×