Browsed by
Category: Domain Range

Force due to gravity

Force due to gravity

Input interpretation
gravitational force (physical quantity)
Common symbol
F
Basic dimensions
[mass] [length] [time]^(-2)
Standard unit for gravitational force
N (newton)
Usage type
scalar | vector
Base physical quantity
force
Find sum of series

Find sum of series

Input interpretation
sum_(x=0)^infinity x^k
Result
sum_(x=0)^infinity x^k converges when Re(k) + 1<0
Partial sum formula
sum_(x=0)^n x^k = H_n^(-k) + 0^k
Domain of sinx

Domain of sinx

Input interpretation
domain | sin(x)
Result
R (all real numbers)
(assuming a function from reals to reals)
Number line
Range of function
{y element R : -1<=y<=1}
Plots
Range of e^x

Range of e^x

Input interpretation
range | e^x
Result
{y element R : y>0} (all positive real numbers)
(assuming a function from reals to reals)
Number line
Domain of function
R (all real numbers)
Injectivity
injective (one-to-one) on its domain
Plots
Domain of 1/x

Domain of 1/x

Input interpretation
domain | 1/x
Result
{x element R : x!=0}
(assuming a function from reals to reals)
Number line
Range of function
{y element R : y!=0}
Injectivity
injective (one-to-one) on its domain
Plots