Calculus

All levels of calculus from Calculus I through Differential Equations and beyond.
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Calculus Area between curve and x-axis: curve y=a+bx+cx^2 drawn through (-h,y_1),(0,y_2),(h,y_3); find a,b,c in terms of y_1,y_2,y_3,h, and...
2
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20
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1K
lookagain
L
R
Solving a limit without using L'hospital's rule and series: lim_{x->0} (ln(1+x) - x)/(x sin(x))
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0
Views
472
Rene
R
R
Calculus Maximum and Minimum: open rectanglar tank to have vol. 144m^3; edges of sides in 3:1 ratio; show that cost is...
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6
Views
632
BigBeachBanana
BigBeachBanana
Janosik
Volume of water: A conical glass is tilted against a wall. It is filled to the brim with water. Calculate the volume of water.
2
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23
Views
2K
mario99
M
U
How to integrate 1/x * 1/ln(x) dx by parts: I get: ∫1⁄x 1⁄ln(x) dx = ln(x) * 1/ln(x) - ∫ ln(x) (-ln^-2(x) * 1/x) dx = 1 + ∫ 1/ln(x) * 1/x dx => 0=1
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1
Views
710
BigBeachBanana
BigBeachBanana
M
Telescoping series: I need to solve the sum from k=4 to infinity of (9/(k-1)^2) - (9/(k+2)^2)
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4
Views
641
Dr.Peterson
Dr.Peterson
P
Second order derivative
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3
Views
544
Dr.Peterson
Dr.Peterson
A
Area of polars help! find the area between the outer and inner loops of r = 1 + 2cos3(theta)
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1
Views
308
Dr.Peterson
Dr.Peterson
W
Question regarding the tangent line of a partial derivative and its graph?
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2
Views
420
Dr.Peterson
Dr.Peterson
M
Need Help! "Your task is to determine which shape maximises the volume of water that can be held by a gutter of a fixed length of material."
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2
Views
358
Dr.Peterson
Dr.Peterson
C
Inquiry about rate of change of distance: angle sun makes w/ ground is increasing at 0.26* / min.
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4
Views
607
Dr.Peterson
Dr.Peterson
B
Are my calculations correct a=dv/dt question (Find a = dv/dt, given v=2000−14t−0.006t^4 m/s)
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3
Views
483
alyh
A
H
Am I on the right track? Integration by substitution: (1/2) int e^x (e^x - 5)(1 + 2e^x)^8 2e^x dx
Replies
8
Views
1K
Steven G
Steven G
I
Time Interval for Material Derivative: Does the definition of the material derivative include an indication of the time period under consideration?
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2
Views
515
I'mLearning
I
H
Integration: int (6x^2 + 4z + 2)/(x^3 + x^2 + x); I let u = x^2 + x + 1, du/dx = 2x + 1
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10
Views
1K
Steven G
Steven G
L
Find the derivative of 3cos^-1(sqrt x)
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9
Views
904
mario99
M
J
my professor said to use trigonometric substitution for int (ln^3 w)/(w sqrt(ln^2 w)) dw
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3
Views
482
BigBeachBanana
BigBeachBanana
M
One to the power of infinity: I don't agree with her that 1^∞ is one of the indereminant forms
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4
Views
1K
mario99
M
R
Can someone please explain the solution to this functions question?
Replies
11
Views
1K
blamocur
blamocur
C
Derivative for sin(x)/1+cos(x): Why is it 1/1+cos(x) but not -1/1+cos(x)?
Replies
6
Views
825
Dr.Peterson
Dr.Peterson
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