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hqt
  • Member for 10 years, 6 months
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8 votes
1 answer
9k views

Multi variable integral : $\int_0^1 \int_\sqrt{y}^1 \sqrt{x^3+1} \, dx \, dy$

7 votes
8 answers
1k views

Evaluating $\int_{0}^{1} \sqrt{1+x^2} \text{ d}x$

6 votes
2 answers
10k views

Min/Max of $f(x,y) = e^{xy}$ where $x^3+y^3=16$

5 votes
3 answers
142 views

Functional Equation : $f(x) = f(x + y^2 + f(y))$

4 votes
5 answers
3k views

Formula to estimate sum to nearly correct : $\sum_{n=1}^\infty\frac{(-1)^n}{n^3}$

4 votes
2 answers
2k views

Maple: how to solving composite function

4 votes
3 answers
212 views

Does $\int_0^\infty\frac{\cos^2x}{x^2+5x+11}dx$ converge or diverge?

4 votes
4 answers
52k views

Find volume of region bound by $y=x, y=x^2$ around x-axis

3 votes
3 answers
905 views

$f(1)=-3$ and $ f'(x)\geq7$ how small is $f(5)$?

3 votes
1 answer
157 views

Directional Derivative: why there is no cos($\alpha$) in formula

2 votes
1 answer
242 views

Find basis for $\ker T$ with $T:P_2 \to P_2: T(p(x)) = p(x) + p(-x)$

2 votes
2 answers
630 views

$s(x)$ is a arc length function, find $s'(x)$

2 votes
1 answer
83 views

Modulo equation : $\frac{n^{k+1}-1}{n-1} \equiv a{\pmod p}$

1 vote
1 answer
229 views

Lagrange's method to find min/max question

1 vote
1 answer
536 views

Why we can multiple dx on both side in df/dx equation

1 vote
1 answer
111 views

find $rank(T)$ when $T: P_2\to P_2:T(p(x)) = p(x+1)$

1 vote
2 answers
710 views

Find a basis of $\ker T$ and $\dim (\mathrm{im}(T))$ of a linear map from polynomials to $\mathbb{R}^2$

1 vote
1 answer
114 views

Find m satisfied $\dim(U^\perp) = 2$

1 vote
1 answer
1k views

Find a shortest distance from point to $\operatorname{span} U$

0 votes
1 answer
144 views

Find matrix with $T: P_2 \to R^2: T(a+bx+cx^2) = (a-b, b+c)$

0 votes
1 answer
74 views

Compute lim from Graph

0 votes
3 answers
14k views

Sum of two divergence series is always divergence series?

0 votes
1 answer
56 views

Partial Derivation: $\lim_{(x,y)\to(0,0)}\frac{x^2+\sin^2y}{2x^2+y}$

0 votes
1 answer
36 views

Find conditions for a polynomial $p$ to be in a vector space $U$

0 votes
1 answer
149 views

Is $ U = \{f(x)| f(x) \in P_{3}, \operatorname{deg} f(x) = 3\}$ a subspace of $P_{3}$?

0 votes
3 answers
485 views

Prove : $\rm{col}(B) \subseteq \rm{null}(A)$

0 votes
1 answer
742 views

Matrix Manipulation : trick to sum elements of vector

-1 votes
1 answer
80 views

Find formula for transformation from $R^3$ to equation of line