Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

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Undergrad Dot product of a vector and a derivative of that vector

  • Ashiataka
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Sketching graphs with extreme values with the Given Information

  • ardentmed
  • · Replies 6 ·
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Finding Limits Using Limit Laws (Not L'Hopital's Rule)

  • ardentmed
  • · Replies 5 ·
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Calculating Area from Differentials

  • ardentmed
  • · Replies 5 ·
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5

Graduate Is My Interpretation of the 2nd Order Derivative Correct?

  • test1234
  • · Replies 2 ·
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Differentiation Techniques in Calculus

  • ardentmed
  • · Replies 5 ·
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Concavity, Inflection Points, and Intervals of Increase and Decrease

  • ardentmed
  • · Replies 3 ·
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What is the rate of change of angle in a 90 degree triangle?

  • ardentmed
  • · Replies 3 ·
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Differentiation With L'Hopital's Rule

  • ardentmed
  • · Replies 7 ·
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Related Rates and Exponential Growth

  • ardentmed
  • · Replies 6 ·
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Exponential Growth And Composite Functions

  • ardentmed
  • · Replies 6 ·
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Graduate Trouble with a separable differential equation

  • eric_999
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Undergrad Changing the function w.r.t in integration

  • kartikwat
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Logarithmic Differentiation And Exponential Growth Questions

  • ardentmed
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Equation of the Normal and Ellipses Questions

  • ardentmed
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Derivative by limit definition and intermediate value theorem applications

  • ardentmed
  • · Replies 4 ·
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Average Value Theorem, Limits, and Slopes.

  • ardentmed
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Calculus I Simplifying and Substitution

  • ardentmed
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Undergrad Why does the fundamental theorem of calculus give F(x) = F(x) - F(a)?

  • Dethrone
  • · Replies 16 ·
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4

Graduate Integral -- analytical way to prove this integral is non-negative?

  • Mark_M
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1
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7

How do I solve parametric and polar curve problems in Calculus 2.1?

  • Jboeding
  • · Replies 11 ·
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11

Minimizing Material Used for a Box

  • ardentmed
  • · Replies 3 ·
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Graduate How can a Fourier expansion contain all the same info as original f'n?

  • thecommexokid
  • · Replies 15 ·
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Integral of x·arctan(x)/(1+x²)³ with u-substitution

  • leprofece
  • · Replies 1 ·
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Range of $\frac{1}{x} + x = 1/x^2 + x$ is all R

  • leprofece
  • · Replies 6 ·
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Undergrad How to Derive the Lorentz Factor from Pythagoras?

  • MathiasArendru
  • · Replies 10 ·
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Volumes of Solids of Revolution using Shells

  • ineedhelpnow
  • · Replies 13 ·
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Is this correct?How much work is needed to compress a spring and lift a mass?

  • ineedhelpnow
  • · Replies 9 ·
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Find First 5 Nonzero Terms of Maclaurin Series for $e^{4x} \sqrt{1+x}$

  • ineedhelpnow
  • · Replies 2 ·
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Graduate Nice Resource to learn Advanced Calculus

  • Septim
  • · Replies 2 ·
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2
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Improper Integral and Force on a Dam

  • ineedhelpnow
  • · Replies 8 ·
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Slope of polar curve at indicated point

  • ineedhelpnow
  • · Replies 2 ·
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Graduate Why is the output different for this integral in Mathematica?

  • JulieK
  • · Replies 4 ·
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Why Split Improper Integrals?

  • Dethrone
  • · Replies 6 ·
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Undergrad Calculus Beyond Integration: What's Next?

  • alvin51015
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Determine Convergence/Divergence: Series Answers

  • ineedhelpnow
  • · Replies 3 ·
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Undergrad Simpson's Rule Formula: Number of Partitions ∞

  • gfd43tg
  • · Replies 1 ·
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Intervals of Increase and Inflection Points Question

  • ardentmed
  • · Replies 3 ·
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Concavity and Inflection Points II

  • ardentmed
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How Much Work is Required to Stretch a Spring 3 Meters from Equilibrium?

  • ineedhelpnow
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Graduate Total Differentials: Taking the Total Differential of Reduced Mass

  • eprparadox
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Ways to quickly determine if a series converges or diverges

  • ineedhelpnow
  • · Replies 3 ·
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Finding the maximum of P(x) = x(√(100-x²) + √(81-x²))/2

  • anemone
  • · Replies 2 ·
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Integral Relation: $|a| > |b|$

  • polygamma
  • · Replies 2 ·
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Taylor Series Expansion and Radius of Convergence for $f(x)=x^4-3x^2+1$

  • ineedhelpnow
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Graduate What is the relationship between variational calculus and integration by parts?

  • Travis091
  • · Replies 1 ·
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Finding the sum of ∑(2^n)/(3^n·n!)

  • ineedhelpnow
  • · Replies 1 ·
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Undergrad How to Integrate Complex Functions Like ∫(sec(x^2))(e^cot(x))dx?

  • dasboot58
  • · Replies 12 ·
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Undergrad Why Is Understanding Partial Fraction Decomposition Important?

  • eric_999
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Undergrad Can cos^2(kt)+sin^2(kt) always equal 1, regardless of the value of k?

  • mill
  • · Replies 4 ·
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Undergrad Is it wrong? (A theorem of limits)

  • Adit
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What are the intervals and radius of convergence for two series with typos?

  • ineedhelpnow
  • · Replies 8 ·
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Calculating the Area of Region Bound by a Curve and its Asymptotes

  • Dethrone
  • · Replies 11 ·
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Solving Functions Problems: Lagrange and Rolle's Theorem

  • laura1231
  • · Replies 1 ·
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Find k and m for line perpendicular to plane through U, W, V

  • shawen
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Find point where F'(a)=a for f(x)=-x²+3x-7

  • shawen
  • · Replies 1 ·
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Is the Series Absolutely Convergent, Conditionally Convergent, or Divergent?

  • ineedhelpnow
  • · Replies 11 ·
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11

Undergrad Assumptions in Mathematical Word Problems

  • Amad27
  • · Replies 20 ·
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20

Composite Functions and Exponential Growth

  • ardentmed
  • · Replies 1 ·
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Graduate How to prove gradients vectors are the same in polar and cartesian co.

  • davidbenari
  • · Replies 3 ·
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3

Linear Approximation With Trigonometry

  • ardentmed
  • · Replies 1 ·
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Root Test/Comparison for $\sum_{k=1}^{\infty}\frac{(-3)^{k+1}}{4^{2k}}$

  • ineedhelpnow
  • · Replies 2 ·
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Graduate Series expansion of the signum function of sine

  • carbon9
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Undergrad Rewriting quadratics as u² - k² or u² + k² with substitution

  • eric_999
  • · Replies 1 ·
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Integration with trig identities and absolute value

  • Dethrone
  • · Replies 11 ·
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How to Solve this Partial Fraction Decomposition Problem?

  • shamieh
  • · Replies 1 ·
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1

Undergrad How do Taylor and Maclaurin series of the same function converge to the same value?

  • eprparadox
  • · Replies 3 ·
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Finding f(x) and a from limit definition of derivative

  • ardentmed
  • · Replies 1 ·
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1

Finding domains of composite functions with square roots and fractions

  • ardentmed
  • · Replies 2 ·
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2

How to Solve This Trigonometric Limit as x Approaches Infinity?

  • Francolino
  • · Replies 4 ·
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4

Undergrad Should I think of integrals as sums or antiderivatives?

  • davidbenari
  • · Replies 13 ·
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13

Graduate Time to reach 99% steady-state in pharmacokinetic infusion model

  • kochibacha
  • · Replies 2 ·
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2

Undergrad Why does ∫(1/(2(2x-1)))dx give different answers with different substitutions?

  • eric_999
  • · Replies 3 ·
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3

Undergrad Line integral in a uniform force field

  • Born
  • · Replies 8 ·
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Find Sum of Series to Within 0.01

  • ineedhelpnow
  • · Replies 6 ·
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6

Calculus book recommendations for self-study

  • Farmtalk
  • · Replies 5 ·
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5

Undergrad Is $k \geq 3$ enough to conclude $(k - 1)^2 > 2$ in mathematical induction?

  • ineedhelpnow
  • · Replies 13 ·
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If dx/dt=kx, and if x=2 when t=0 and x=6 when t=1, then k=

  • karush
  • · Replies 1 ·
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How Do You Find the Range and Oblique Asymptote of \( x + \frac{1}{x} \)?

  • leprofece
  • · Replies 6 ·
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How do I expand $\frac{e^{z^2}}{z^3}$ into a Laurent series?

  • aruwin
  • · Replies 7 ·
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Undergrad Solve Systems of Equations 17.3-(17.3)e^(-92.34940680845194549420x)^y

  • Ledsnyder
  • · Replies 2 ·
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Sum of Series $\approx$ Error Estimation

  • ineedhelpnow
  • · Replies 1 ·
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How to Expand a Complex Function into a Laurent Series?

  • aruwin
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5
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8
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Undergrad Function with a removable discontinuity

  • OceanSpring
  • · Replies 11 ·
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Curves defined by parametric curves

  • ineedhelpnow
  • · Replies 10 ·
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Fastest Route to Reach Blonde on Beach: 400/3 m

  • leprofece
  • · Replies 6 ·
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Finding the Coefficient in a Power Series Sum

  • aruwin
  • · Replies 5 ·
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5
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What is the Radius of Convergence for zsin(z^2)?

  • aruwin
  • · Replies 7 ·
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What is the area of the region between two parametric curves?

  • ineedhelpnow
  • · Replies 18 ·
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18

Calculating sin ( 0.5 arcsinx)

  • Dethrone
  • · Replies 4 ·
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How do i determine if a sequence converges or diverges

  • ineedhelpnow
  • · Replies 19 ·
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What is the Area of the Region Bounded by r=sinθ in the Sector 0≤θ≤π/2?

  • ineedhelpnow
  • · Replies 3 ·
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Simplifying the inverse Laplace Transform using the inverse shift formula

  • Drain Brain
  • · Replies 9 ·
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9