Calculus

All levels of calculus from Calculus I through Differential Equations and beyond.
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Calculus: lim_{x->0} [ (1 + x)^{2/x} / e^2 ]^{4/sin(x)}
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5
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1K
Dr.Peterson
Dr.Peterson
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Why does the answer I get is always -2/3 when the solution says its -3
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5
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1K
stapel
stapel
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"Check Stokes' theorem in the plane where f(x,y)=y^2i+x^2j and the region formed is bounded by the circle (x^2+y^2=4)."
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1
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676
blamocur
blamocur
R
Calculus Maximum or Minimum: cylindrical boiler, flat base, hemispherical top; length h meters, top's radius r meters. Find ratio of r to h so that...
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2
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755
blamocur
blamocur
N
calculus problem: For which non-negative values of a does the function y=(x^2+3x)/x+a have a clear discontinuity point?
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3
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867
Dr.Peterson
Dr.Peterson
B
f(x) = sqrt( (e^x) - 1 ): find the domain, find 1st and 2nd derivatives, and test for concavity
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3
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1K
blamocur
blamocur
K
I need help: Suppose that f is a function with f(110) = 55 and f'(110) = 4. Estimate f(113).
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6
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1K
Steven G
Steven G
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Geogebra help: how can i show the solid of revolution between two curves on geogebra?
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1
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808
The Highlander
The Highlander
E
Trigonometric Integration: int (e^{sin(x)} + sqrt{cos(x)+tan(x)})^{pi} / [ln(ln(csc(x)) sqrt{sec^2(x)+cot^2(x)}] dx
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1
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715
BigBeachBanana
BigBeachBanana
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Integrating e values with variable exponents: x = int (9 - 9e^{-3t}) dt
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1
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702
BigBeachBanana
BigBeachBanana
R
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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3K
lookagain
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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
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821
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
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1K
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
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4K
mario99
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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
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2K
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
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1K
Dr.Peterson
Dr.Peterson
P
Second order derivative
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3
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1K
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
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629
Dr.Peterson
Dr.Peterson
W
Question regarding the tangent line of a partial derivative and its graph?
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2
Views
815
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
681
Dr.Peterson
Dr.Peterson
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