Calculus and Beyond Homework Help Forum

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Free calculus and beyond homework help via qualified mentors. Math courses from calculus on-wards homework. Please use the template when requesting help and show your work.
How Do You Solve a Differential Equation Using an Ansatz?
  • Hamiltonian
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Verify property of inner product
  • psie
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21
Integration of functions of form ##\dfrac{1}{ax+b}##
  • chwala
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10
Probability density function of Z=X+Y and Z=XY
  • docnet
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19
Limit of probabilities of a large sample
  • MAXIM LI
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1
Minimize integral using orthogonal basis
  • psie
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2
How Does Integration by Factors Relate to the Product Rule and FTC?
  • Delta2
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Prove 9 is eigenvalue of ##T^2\iff## 3 or -3 eigenvalue of ##T##.
  • zenterix
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Do these two statements imply an underlying induction proof?
  • zenterix
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7
Dirac delta function approximation
  • Lambda96
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13
Why can one do this "trick" in the First Order Linear D.E. method?
  • Ebby
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19
Operator T, ##T^2=I##, -1 not an eigenvalue of T, prove ##T=I##.
  • zenterix
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2
Show logical notation for being prime
  • Painguy
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1
Finding a periodic solution to ODE
  • psie
  • · Replies 16 ·
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16
Plotting the approximation of the Dirac delta function
  • Lambda96
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3
Electromagnetism: Force on a parabolic wire in uniform magnetic field
  • Aurelius120
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20
On pointwise convergence of Fourier series
  • psie
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3
Parametric curve question (determining unknown point)
  • cherry
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2
Calculate the limit cos(x)/sin(x) when x approaches 0
  • Lambda96
  • · Replies 12 ·
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12
Finding the power loss in a wire of varying cross-sectional area
  • Glenn G
  • · Replies 8 ·
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8
Solve an ODE using Fourier series
  • psie
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2
How to Approach Solving a Nonlinear Second Order ODE with a Quadratic Term?
  • Safinaz
  • · Replies 4 ·
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4
How should I show that ## B ## is given by the solution of this?
  • Math100
  • · Replies 2 ·
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2
Fourier series of translated function
  • psie
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1
How should I calculate the stationary value of ## S[y] ##?
  • Math100
  • · Replies 2 ·
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2
Variation of parameter VS Undetermined Coefficients
  • Davidian
  • · Replies 7 ·
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7
Evaluate limit of this integral using positive summability kernels
  • psie
  • · Replies 2 ·
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2
Can you help me understand this modification to a formula?
  • renobueno
  • · Replies 14 ·
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14
Help me prove integral answer over infinitesimal interval
  • gionole
  • · Replies 9 ·
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9
How should I use the Jacobi equation to show this?
  • Math100
  • · Replies 4 ·
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4
How Can I Solve This Differential Equation for x(y)?
  • gionole
  • · Replies 7 ·
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7
Why Does Taylor's Theorem Use +O(ε) Instead of -O(ε)?
  • gionole
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3
How should I use the Jacobi equation to determine the nature of this?
  • Math100
  • · Replies 5 ·
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5
Solving Klein Gordon’s equation
  • Safinaz
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1
How to determine the integration constants in solving the Klein Gordon equation?
  • Safinaz
  • · Replies 7 ·
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7
Probability of hitting Homeruns at the Country Club
  • mathmajor23
  • · Replies 3 ·
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3
Solving system of differential equations using elimination method
  • berlinvic
  • · Replies 10 ·
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10
Electromagnetism question: Current flowing between concentric spheres
  • ka_reem13
  • · Replies 3 ·
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3
Orthogonality of 2 complex exponentials
  • Nana113
  • · Replies 11 ·
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11
Prove orthogonality of these curves
  • berlinvic
  • · Replies 7 ·
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7
How does Rotating an Ellipse change its equation?
  • resurgance2001
  • · Replies 13 ·
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13
Find the area of a segment of a circle using integration
  • nafisanazlee
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8
Show that the limit (1+z/n)^n=e^z holds
  • Lambda96
  • · Replies 6 ·
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6
Need a real life example where a partial derivative is used in motion
  • nrsakinh
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3
Partial Derivative Simplification
  • BlackMelon
  • · Replies 3 ·
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3
Obtain a nonzero solution of ##y''-4y'+x^2(y'-4y)=0## by inspection
  • zenterix
  • · Replies 7 ·
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7
Avoid unpleasant integrals in solving IVP
  • psie
  • · Replies 3 ·
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3
Prove ##a\cdot b = b \cdot a ##using Peano postulates
  • issacnewton
  • · Replies 3 ·
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3
Checking series for convergence
  • Lambda96
  • · Replies 5 ·
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5
Prove ##(a\cdot b)\cdot c =a\cdot (b \cdot c)## using Peano postulates
  • issacnewton
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Find the volume of the solid bound by the three coordinate planes
  • chwala
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2
Applying Stoke's Theorem: A Hint
  • BloonAinte
  • · Replies 26 ·
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26
Solve the problem involving the given double integral
  • chwala
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Linear homogenous system with repeated eigenvalues
  • psie
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2
Find the local maxima and minima for##f(x,y) = x^3-xy-x+xy^3-y^4##
  • chwala
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Find the constrained maxima and minima of ##f(x,y,z)=x+y^2+2z##
  • chwala
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2
Line Integral Solution for Curve γ: Simplifying Substitutions
  • Graham87
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Inner product between velocity and acceleration is zero (parametric)
  • Lambda96
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6
Find the dimensions that will minimize the surface area of a Rectangle
  • chwala
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Line Integral of circle in counterclockwise direction
  • songoku
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5
Limit and Integration of ##f_n (x)##
  • songoku
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8
Proof related to derivative and Big O notation
  • songoku
  • · Replies 19 ·
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19
Show that ##f(x,y)=u(x+cy)+v(x-cy)## is a solution of the given PDE
  • chwala
  • · Replies 9 ·
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9
Solution verification of ODE using Frobenius' method
  • psie
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3
Prove ##(a+b)\cdot c=a\cdot c+b\cdot c## using Peano postulates
  • issacnewton
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3
Solve this integral involving a fraction with a trig function
  • Rhdjfgjgj
  • · Replies 11 ·
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11
Proving limits for roots and exponents
  • Lambda96
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13
Injective Function: Proving Correctness with Singlets ##S## and ##T## in ##X##
  • pepos04
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On weakly singular equations and Frobenius' method
  • psie
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7
Prove ##a \cdot 1 = a = 1 \cdot a## for ##a \in \mathbb{N}##
  • issacnewton
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1
How to convert to the number of sand and Nylon particles from mass
  • Skw
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3
Prove that ## 1^{p}+2^{p}+3^{p}+\dotsb +(p-1)^{p}\equiv 0\pmod {p} ##.
  • Math100
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6
Prove ##1 + a=s(a)=a+1## for ##a \in \mathbb{N}##
  • issacnewton
  • · Replies 1 ·
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1
Why Does the Set (0,2) Have No Maximum?
  • member 731016
  • · Replies 2 ·
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2
Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
  • zenterix
  • · Replies 7 ·
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7
Prove every subset of countable set is either finite or else countable
  • zenterix
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1
Prove that every subset ##B## of ##A=\{1,...,n\}## is finite
  • zenterix
  • · Replies 4 ·
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4
On asymptotically stable systems and bounded solutions
  • psie
  • · Replies 4 ·
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4
Complex contour integral proof
  • GGGGc
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1
Continue solutions of ODEs around the origin
  • psie
  • · Replies 2 ·
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2
I'm getting the wrong answer for the Indefinite Integral of: (x^2+2x)/(x+1)^2
  • azizlwl
  • · Replies 3 ·
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3
What is the formula for the norm of a vector cross product?
  • Lambda96
  • · Replies 5 ·
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5
Put the eigenvalue function in self-adjoint form
  • GGGGc
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2
Prove if ##x<0## and ##y<z## then ##xy>xz## (Rudin)
  • zenterix
  • · Replies 2 ·
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2
Finding probability related to Poisson and Exponential Distribution
  • songoku
  • · Replies 6 ·
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6
Calculating an n X n determinant
  • TGV320
  • · Replies 5 ·
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5
Writing correct sign of quantities
  • Rhdjfgjgj
  • · Replies 7 ·
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7
I have troubles finding the limit of this piecewise function
  • El foolish Phenomeno
  • · Replies 9 ·
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9
Tricky Problem: Prove range T = null ##\phi## when null T' has dim 1
  • zenterix
  • · Replies 8 ·
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8
Find the volume bounded by hyperboloid and plane z = ± d
  • songoku
  • · Replies 14 ·
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14
Induction with binomial coefficient
  • Lambda96
  • · Replies 15 ·
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15
Use of calculus in a launch of a rocket - Relevant Assumptions
  • Saba
  • · Replies 5 ·
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5
Finding the Fourier cosine series for ##f(x)=x^2##
  • chwala
  • · Replies 4 ·
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4
Integral involving powers of trig functions
  • Memo
  • · Replies 7 ·
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7
Prove ##|\{ q\in\mathbb{Q}: q>0 \} |=|\mathbb{N}|##.
  • zenterix
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3
Find the integral of ∫1/(1+tanx)dx
  • Rhdjfgjgj
  • · Replies 3 ·
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3
Calculation of moment of inertia of cylindrical surface
  • zenterix
  • · Replies 4 ·
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4
Help understanding this integral solution using trig substitution please
  • Memo
  • · Replies 12 ·
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12
Given surjective ##T:V\to W##, find isomorphism ##T|_U## of U onto W.
  • zenterix
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1
Center of mass of spherical shell inside of cone (Apostol Problem).
  • zenterix
  • · Replies 3 ·
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3