New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Application of Derivatives question

2022 · 30 Jun · Shift 1 · Q38

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Application of Derivatives
2022 · 30 Jun · Shift 1 · Q38

Application of Derivatives question

2022 · 30 Jun · Shift 1 · Q38

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1

A hostel has 100 students. On a certain day (consider it day zero) it was found that two students are infected with some virus. Assume that the rate at which the virus spreads is directly proportional to the product of the number of infected students and the number of non-infected students. If the number of infected students on 4th day is 30, then number of infected students on 8th day will be

\underline{\hspace{2cm}}

.

Numerical answer

More from Application of Derivatives

The function $f (x) = x^{3} - 6 x^{2} + a x + b$ is such that $f (2) = f (4) = 0$ . Consider two statements : Statement 1 : there exists x1, x2 $\in$ (2, 4), x1 < x2, such that f'(x1) = $-$ 1 and f'(x2) = 0. Statement 2 : there exists x3, x4 $\in$ …2021 · MCQ
Let f be a real valued function, defined on R $-$ { $-$ 1, 1} and given by f(x) = 3 loge $\frac{x - 1}{x + 1} - \frac{2}{x - 1}$ . Then in which of the following intervals, function f(x) is increasing?2021 · MCQ
The maximum value of $f (x) = sin^{2} x 1 + sin^{2} x sin^{2} x 1 + cos^{2} x cos^{2} x cos^{2} x cos 2 x cos 2 x sin 2 x, x \in R$ …2021 · MCQ
Consider the function $f : R \to R$ defined by $f (x) = ⎩ ⎨ ⎧ (2 - sin (\frac{1}{x})) ∣ x ∣ 0 x \neq = 0 x = 0$ Then $f$ is :2021 · MCQ
Let f : [ $-$ 1, 1] $\to$ R be defined as f(x) = ax2 + bx + c for all x $\in$ [ $-$ 1, 1], where a, b, c $\in$ R such that f( $-$ 1) = 2, f'( $-$ 1) = 1 for x $\in$ ( $-$ 1, 1) the maximum value of f ''(x) is $\frac{1}{2}$ . If f(x) $\le…2021 · Numerical
Let $A = [a_{ij}]$ be a 3 $\times$ 3 matrix, where $a_{ij} = ⎩ ⎨ ⎧ 1 - x 2 x + 1,,, i f i = j i f ∣ i - j ∣ = 1 o t h er w i se .$ …2021 · MCQ
Let 'a' be a real number such that the function f(x) = ax2 + 6x $-$ 15, x $\in$ R is increasing in $(- \infty, \frac{3}{4})$ and decreasing in $(\frac{3}{4}, \infty)$ . Then the function g(x) = ax2 $-$ 6x…2021 · MCQ
The sum of all the local minimum values of the twice differentiable function f : R $\to$ R defined by $f (x) = x^{3} - 3 x^{2} - \frac{3 f ^{''} ( 2 )}{2} x + f^{''} (1)$ is :2021 · MCQ