Find the domain and range of f(x)=√(1-x^2) on R
Find the domain and range of f(x)= √(1-x²)
1200=40((1-(1/(1+x)^60)/x))+((1000/(1+x)^60))
find x.
decompose "g(x)=5\/(x-1)^3"
In a certain, corona virus culture the rate of increase in the number of virus is proportional to the number of present population.
a) If the number double in 4 hours, how many will be present in 12 hours?
b) If the number 400 in 3 hours and 2000 in 10 hours then find the number of initially.
Using LMV, prove that log(1+x) > 2x/(1+x) , if x>0
The pistons in an automobile engine move up and down in the cylinders. If t is in milliseconds, the distance from the top of the piston to the top of the cylinder is given in centimeters by D=7+6 sin (4m)
(a) identify the amplitude, period and frequency of function
(b) Find the largest and the smallest clearance between the piston and the top of the cylinder.
Including all steps, charts, and derivations details, use the curve sketching methods to sketch the graph of the given function on the interval 2pie_< x _< 2pi
y= cos(2x)/ 3-2sin^2(x)
Divide 94 into three parts such that 1⁄2 the product of one pair, plus one-third the product of another pair plus one-fourth the product of the third pair may sum to a maximum value.
Assume that 𝛼 is increasing on [𝑎, 𝑏]. Note that if 𝑓 ∈ 𝑅(𝛼) on [𝑎, 𝑏], then 𝑓