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Webpage for Calculus:
Recent questions tagged calculus
0
votes
0
answers
1
Maths for natural science
Determine the domain of the function $f(x)=\left | x \right |+1$
Hailemariam
asked
in
Calculus
Aug 5
by
Hailemariam
46
views
calculus
functions
0
votes
0
answers
2
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
by
Hailemariam
38
views
calculus
0
votes
0
answers
3
Mathematics for Natural Science
Determine the domain of the function $f(x) = |x – 2|$
Hailemariam
asked
in
Calculus
Aug 3
by
Hailemariam
41
views
calculus
0
votes
0
answers
4
Mathematics for Natural Science
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
kidussss
asked
in
Calculus
Jul 29
by
kidussss
72
views
calculus
0
votes
0
answers
5
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
by
kidussss
47
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
6
Mathematics for Natural Science
Prove that $2n < (n + 1)!, $ for all $ n \geq 3.$
kidussss
asked
in
Combinatory
Jul 29
by
kidussss
43
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
7
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
by
kidussss
38
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
2
answers
8
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
by
kidussss
251
views
limits
calculus
0
votes
1
answer
9
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
by
kidussss
48
views
calculus
differentiation
0
votes
2
answers
10
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
kidussss
asked
in
Calculus
Jul 8
by
kidussss
69
views
calculus
differentiation
0
votes
0
answers
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
by
Kabir5454
77
views
calculus
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
by
Kabir5454
77
views
nptel-quiz
calculus
1
vote
1
answer
13
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
nielit2022jan-scientistb
calculus
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
gatecse-2022
numerical-answers
calculus
limits
0
votes
0
answers
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
by
AlgoHuman
97
views
calculus
engineering-mathematics
maxima-minima
0
votes
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
by
kabilan45
181
views
engineering-mathematics
calculus
self-doubt
0
votes
0
answers
17
Applied Test Series
What is the correct procedure to solve this limit ?
LRU
asked
in
Calculus
Nov 5, 2021
by
LRU
161
views
test-series
engineering-mathematics
calculus
limits
3
votes
1
answer
18
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
gate1995
calculus
limits
numerical-answers
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
gatecse-2021-set2
numerical-answers
calculus
continuity
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
gatecse-2021-set1
calculus
limits
numerical-answers
0
votes
0
answers
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
tifrmaths2016
differentiation
calculus
0
votes
0
answers
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
tifrmaths2018
true-false
calculus
continuity
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
nielit2016mar-scientistc
calculus
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
nielit2016mar-scientistc
engineering-mathematics
calculus
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
nielit2016mar-scientistc
engineering-mathematics
calculus
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
nielit2016mar-scientistc
engineering-mathematics
calculus
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Recent questions tagged calculus
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