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Recent questions tagged calculus

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Maths for natural science
Determine the domain of the function $f(x)=\left | x \right |+1$

Hailemariam asked in Calculus Aug 5

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mathematics for natural science
Suppose a radioactive substance decays according to the equation $y=2000e^{-0.75t}$, where $y$ represent the mass in grams after $t$ hours. Assume that the half-life of radium is $1600$ years. If $y_{0}$ milligrams of radium are initially present, write the formula for the number of milligrams $y$ present after $t$ years.

Hailemariam asked in Others Aug 4

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Mathematics for Natural Science
Determine the domain of the function $f(x) = |x – 2|$

Hailemariam asked in Calculus Aug 3

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Mathematics for Natural Science
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$

kidussss asked in Calculus Jul 29

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Mathematics for Natural Science
Let y in the form of $a + bi$, where $a$ and $b$ are real numbers, be the cubic roots of complex number $z^{20},$ where $z=\frac{2}{4 + 3i}.$ Find $a + b.$

kidussss asked in Combinatory Jul 29

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Mathematics for Natural Science
Prove that $2n < (n + 1)!, $ for all $ n \geq 3.$

kidussss asked in Combinatory Jul 29

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1 answer

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Mathematics for Natural Science
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$

kidussss asked in Combinatory Jul 29

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2 answers

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Applied Mathematics Calculus and Limit Question
Evaluate the question of the following limits. $\lim_{x\rightarrow 1} \frac{x}{(x-1)^{2}}$

kidussss asked in Calculus Jul 9

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1 answer

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Applied Mathematics Derivative
Please find derivation of the following equation. Let $f(x)=e^{x^{2}}\ln x,$ then find, ${f}'(x)$.

kidussss asked in Calculus Jul 8

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2 answers

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Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$

kidussss asked in Calculus Jul 8

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11

iit kanpur Calculas practice question
Does there exist a differentiable function f : [0, 2] → R satisfying f(0) = −1, f(2) = 4 and f’(x) ≤ 2 for all x ∈ [0, 2]?

Kabir5454 asked in Calculus May 16

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1 vote

2 answers

12

No of solution of the given equation
The Number of Points $x \in \Re$ for which $\sin ^{2} x-3x=5$ is , 0 1 more than one but finite $\infty$

Kabir5454 asked in Mathematical Logic May 15

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1 vote

1 answer

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NIELIT 2022 Jan Scientist B | Section B | Question: 88
The secant method formula for finding the square root of a real number $\text{R}$ from the equation $x^{2} - \text{R} = 0$ is: $x_{i+1} = \frac{x_{i}.x_{i-1}}{x_{i} + x_{i+1}}$ $x_{i+1} = \frac{x_{i}.x_{i-1} + \text{R}}{x_{i} + x_{i-1}}$ ... $x_{i+1} = \frac{2x_{i}^{2} + x_{i}.x_{i-1} - \text{R}}{x_{i} + x_{i-1}}$

soujanyareddy13 asked in Others Apr 12

by soujanyareddy13

68 views

3 votes

4 answers

14

GATE CSE 2022 | Question: 24
The value of the following limit is ________________. $\lim_{x \rightarrow 0^{+}} \frac{\sqrt{x}}{1-e^{2\sqrt{x}}}$

Arjun asked in Calculus Feb 15

by Arjun

906 views

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15

Global and Local Minimum
Suppose that we have an objective function X ⊆ R^n → R and Y ⊂ X. Which of the following are correct: Every global minimizer of f in X is global minimizer in Y Every local minimizer of f in Y is local minimizer in X My answer is that 1) and 2) are correct. I want to check if my answers are correct or we can prove something other with some example.

AlgoHuman asked in Calculus Feb 14

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2 answers

16

Calculus self doubt
Calculus looks difficult for me. Any resources to learn calculus for GATE

kabilan45 asked in Calculus Nov 25, 2021

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17

Applied Test Series
What is the correct procedure to solve this limit ?

LRU asked in Calculus Nov 5, 2021

by LRU

161 views

3 votes

1 answer

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GATE CSE 1995 | Question: 7(B)
Compute without using power series expansion $\displaystyle \lim_{x \to 0} \frac{\sin x}{x}.$

Lakshman Patel RJIT asked in Calculus Apr 25, 2021

by Lakshman Patel RJIT

599 views

6 votes

2 answers

19

GATE CSE 2021 Set 2 | Question: 25
Suppose that $f: \mathbb{R} \rightarrow \mathbb{R}$ is a continuous function on the interval $[-3, 3]$ and a differentiable function in the interval $(-3,3)$ such that for every $x$ in the interval, $f’(x) \leq 2$. If $f(-3)=7$, then $f(3)$ is at most __________

Arjun asked in Calculus Feb 18, 2021

by Arjun

2.5k views

2 votes

2 answers

20

GATE CSE 2021 Set 1 | Question: 20
Consider the following expression.$\displaystyle \lim_{x\rightarrow-3}\frac{\sqrt{2x+22}-4}{x+3}$The value of the above expression (rounded to 2 decimal places) is ___________.

Arjun asked in Calculus Feb 18, 2021

by Arjun

2.6k views

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21

TIFR-2016-Maths-A: 4
Let $f:\mathbb{R}\rightarrow \mathbb{R}$ be the function defined by $f\left ( x \right )=\frac{\sin \: x}{\left | x \right |+\cos \: x}$. Then $f$ is differentiable at all $x\in\mathbb{R}$ $f$ is not differentiable at $x=0$ $f$ is differentiable at $x=0$ but ${f}'$ is not continuous at $x=0$ $f$ is not differentiable at $x=\frac{\pi }{2}.$

soujanyareddy13 asked in Others Aug 30, 2020

by soujanyareddy13

64 views

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22

TIFR-2018-Maths-A: 5
True/False Question : The function $f\left ( x \right )=cos\left ( e^{x} \right )$ is not uniformly continuous on $\mathbb{R}$.

soujanyareddy13 asked in Calculus Aug 30, 2020

by soujanyareddy13

71 views

2 votes

2 answers

23

NIELIT 2016 MAR Scientist C - Section B: 2
The function $f(x)=x^{5}-5x^{4}+5x^{3}-1$ has one minima and two maxima two minima and one maxima two minima and two maxima one minima and one maxima

Lakshman Patel RJIT asked in Calculus Apr 2, 2020

by Lakshman Patel RJIT

384 views

1 vote

1 answer

24

NIELIT 2016 MAR Scientist C - Section B: 10
$\underset{x \rightarrow 0}{\lim} \dfrac{x^{3}+x^{2}-5x-2}{2x^{3}-7x^{2}+4x+4}=?$ $-0.5$ $(0.5)$ $\infty$ None of the above

Lakshman Patel RJIT asked in Calculus Apr 2, 2020

by Lakshman Patel RJIT

278 views

0 votes

1 answer

25

NIELIT 2016 MAR Scientist C - Section B: 11
$\displaystyle \int_{0}^{\dfrac{\pi}{2}} \sin^{7}\theta \cos ^{4} \theta d\theta=?$ $16/1155$ $16/385$ $16\pi/385$ $8\pi/385$

Lakshman Patel RJIT asked in Calculus Apr 2, 2020

by Lakshman Patel RJIT

197 views

0 votes

0 answers

26

NIELIT 2016 MAR Scientist C - Section B: 12
$\displaystyle \lim_{x \rightarrow a}\frac{1}{x^{2}-a^{2}} \displaystyle \int_{a}^{x}\sin (t^{2})dt=$? $2a \sin (a^{2})$ $2a$ $\sin (a^{2})$ None of the above

Lakshman Patel RJIT asked in Calculus Apr 2, 2020

by Lakshman Patel RJIT

183 views

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Recent questions tagged calculus