Calculus

All levels of calculus from Calculus I through Differential Equations and beyond.
R
Help with power series sum_{n=1, infinity} [(x-2)^n]/[(n^2)(3^n)] (Find interval of convergence)
Replies
11
Views
954
roineust
R
J
I am so confused on this question (calculus): Invent a function to satisfy lim_{x->0+} f(x) = 3 and....
Replies
3
Views
466
Dr.Peterson
Dr.Peterson
J
Finding roots of equation before integrating: x^2 + 4/(x^2) = 5
Replies
5
Views
475
jonnburton
J
I
Can you help me to explain how can i obtain this derrivative result?
Replies
2
Views
379
blamocur
blamocur
A
Nice problem. Is there an elegant solution? (Find curve for set of chords' midpoints)
Replies
1
Views
520
blamocur
blamocur
H
If F and G are constant-less indefinite integrals, must there exist an x such that F(x)+G(x) = F(20+G(10) ?
Replies
12
Views
949
Hormuz
H
M
Use Stokes' theorem (physics): Prove formula for motional emf reduces to Faraday's law if...
Replies
1
Views
428
fresh_42
F
L
How to solve this integral? dbl-int_{S} (2x+10)dydz + (x^4-3y)dzdx + (2z+e^{xy})dxdy, S: (x+1)^2 + y^2 + (z+1)^2 = 1
Replies
2
Views
552
stapel
stapel
M
Is the gradient theorem equivalent to the curl theorem if F is conservative?
Replies
1
Views
392
blamocur
blamocur
R
Please solve this sum: lim_{n->infinity} (1/n^3) sum_{k=1}^n (int_0^1 (x^k)/(2022x+2023) dx)^{-1} (int_0^1 (x^k)/(2023x+2022) dx)^{-1}
Replies
1
Views
471
stapel
stapel
K
I am stuck on the partial fraction pard on the inproper integral
Replies
3
Views
536
Steven G
Steven G
O
Taylor series of an improper integral
Replies
16
Views
2K
blamocur
blamocur
T
Derivative of polynomial function: P_3(x) = (9f(x_4) - 27f(x_3) + 27f(x_2) - 9f(x_1))/(2b^3) *...
Replies
5
Views
693
Dr.Peterson
Dr.Peterson
K
Help with using the fact that the limit, as t->x, of (sec(t) - sec(x))/(t - x) = f(x) to find f'((pi)/4)
Replies
5
Views
691
Steven G
Steven G
A
How do I take z in terms of x and y? F=yI+2J+xzK m/sec; show flux of water is 69 m^3/
Replies
3
Views
4K
stapel
stapel
U
Prove relationship between right derivative and derivative: f'+(a) = lim x->a+ f'(x)
Replies
6
Views
547
blamocur
blamocur
C
Prove that the following sum is positive for $\lambda>1$ and $0< \alpha < 1$.
Replies
2
Views
347
CesarRocha
C
E
Shell method - need help: rotate region enclosed by y = x^3 + x + 1, y = 1, x = 1 about x = 2
Replies
5
Views
740
Dr.Peterson
Dr.Peterson
R
Gap in understanding Taylor series
Replies
15
Views
1K
topsquark
topsquark
B
A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base
Replies
2
Views
549
Dr.Peterson
Dr.Peterson
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