8.11Calculus
LockedPractice
Solve problems
Problems unlock one after another, from simple all the way to genius. Every one you solve adds XP.
- 1,198 problems
- 9 difficulty levels
- +5 to +405 XP per problem
Sign in to solve and collect XP. Your progress is saved.
All problems
Showing 1,009–1,056 of 1,198
- Difficulty 8 of 9+320 XP
8.12Calculus
LockedA symmetric system at time ln 2
Difficulty 8 of 9+320 XP8.13Calculus
LockedA mixed second-order derivative
Difficulty 8 of 9+320 XP8.14Calculus
LockedThe volume under a surface
Difficulty 8 of 9+320 XP8.15Calculus
LockedA domain of convergence with a square
Difficulty 8 of 9+320 XP8.16Calculus
LockedAn equation with power coefficients
Difficulty 8 of 9+320 XP8.17Calculus
LockedA derivative in the direction of a vector
Difficulty 8 of 9+320 XP8.18Calculus
LockedA triple integral over a box
Difficulty 8 of 9+320 XP8.19Calculus
LockedA series with odd denominators
Difficulty 8 of 9+320 XP8.20Calculus
LockedAn equation with a y² term
Difficulty 8 of 9+320 XP8.21Calculus
LockedAn estimate by the total differential
Difficulty 8 of 9+320 XP8.22Calculus
LockedAn integral along a quarter circle
Difficulty 8 of 9+320 XP8.23Calculus
LockedA Fourier sum at two points
Difficulty 8 of 9+320 XP8.24Calculus
LockedAn equation in differential form
Difficulty 8 of 9+320 XP8.25Calculus
LockedA tangent plane to a graph
Difficulty 8 of 9+320 XP8.26Calculus
LockedWork along a parabolic arc
Difficulty 8 of 9+320 XP8.27Calculus
LockedThe cosine of the ratio y/x
Difficulty 8 of 9+320 XP8.28Calculus
LockedThe chain rule and a gradient
Difficulty 8 of 9+320 XP8.29Calculus
LockedAn iterated integral with a cube root
Difficulty 8 of 9+320 XP8.30Calculus
LockedA Fourier series with period 4
Difficulty 8 of 9+320 XP8.31Calculus
LockedA double root and a logarithm
Difficulty 8 of 9+320 XP8.32Calculus
LockedA limit of the form 1^∞
Difficulty 8 of 9+320 XP8.33Calculus
LockedA sideways parabola
Difficulty 8 of 9+320 XP8.34Calculus
LockedOdd squares from the absolute value
Difficulty 8 of 9+320 XP8.35Calculus
LockedA linear equation with a variable coefficient
Difficulty 8 of 9+320 XP8.36Calculus
LockedThe value at a saddle point
Difficulty 8 of 9+320 XP8.37Calculus
LockedA disc away from the centre
Difficulty 8 of 9+320 XP8.38Calculus
LockedA sine series of the cosine
Difficulty 8 of 9+320 XP8.39Algebra
LockedAn entry of a matrix exponential
Difficulty 8 of 9+320 XP8.40Calculus
LockedA constrained extremum on an ellipse
Difficulty 8 of 9+320 XP8.41Calculus
LockedThe centre of mass of a non-uniform lamina
Difficulty 8 of 9+320 XP8.42Calculus
LockedThe sum function of a series with a product below
Difficulty 8 of 9+320 XP8.43Calculus
LockedResonance at frequency 3
Difficulty 8 of 9+320 XP8.44Calculus
LockedA Taylor polynomial of x to the y
Difficulty 8 of 9+320 XP8.45Calculus
LockedAn integral over a tetrahedron
Difficulty 8 of 9+320 XP8.46Calculus
LockedA rational function expanded around one
Difficulty 8 of 9+320 XP8.47Calculus
LockedSteady oscillations of a damped spring
Difficulty 8 of 9+320 XP8.48Calculus
LockedThe intercepts of a tangent plane to an ellipsoid
Difficulty 8 of 9+320 XP8.49Calculus
LockedAn integral along an unfriendly curve
Difficulty 8 of 9+320 XP8.50Calculus
LockedWhere a series with a quotient converges
Difficulty 8 of 9+320 XP8.51Calculus
LockedA third-order equation
Difficulty 8 of 9+320 XP8.52Calculus
LockedAn improper integral with a half-integer power
Difficulty 8 of 9+320 XP8.53Calculus
LockedA tetrahedron under a tangent plane
Difficulty 8 of 9+320 XP8.54Calculus
LockedBetween two paraboloids
Difficulty 8 of 9+320 XP8.55Calculus
LockedA difference of powers over a logarithm
Difficulty 8 of 9+320 XP8.56Calculus
LockedSalt in a filling tank
Difficulty 8 of 9+320 XP8.57Calculus
LockedThe cheapest box with a lid
Difficulty 8 of 9+320 XP8.58Calculus
LockedA tilted rectangle
Difficulty 8 of 9+320 XP