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Solve for the values of x for each of the following exponential equations and
inequalities.
1. 6π₯+2 = 362π₯β3
2. 5π₯β1 = 625
3. 54π₯ β₯ 253π₯+2
Determine whether each of these functions is a bijection from R to R (real).a) f (x) = 2x + 1b) f (x) = x2 + 1c) f (x) = x3
On a certain map, the straight-line distance between The Pas and Winnipeg is 4.1cm. If the scale
of the map is 1cm = 120 km, how far apart are The Pas and Winnipeg, to the nearest kilometer?
The iq of 300 students in a certain school in Quezon province is approximately normally distributed with mean of 100 and standard deviation is 15??
Let {an} sequence is defined as a1=3, an+1=1/5(an)
converges to zero
Read job vacancies on the classified ads section of a newspaper.Then draw conclusions about the tyoe of people who apply for each job
Suppose that π is differentiable and πβ²β²(π) exists. Prove that πβ²β²(π)=limββππ(π+β)β2π(π)+π(πββ)β2. Give an example where the above limit exists, but πβ²β²(π) does not exist.
A machine makes parts with a variance of 14.5 cm in length. A random sample of 50 parts has a mean length of 106.5 cm. What are the 95% and 99% confidence intervals for the length of parts?
Solve the initial value problem (IVP):
(D^2+4D+4)=9e^x
y(0)=2
y'(0)=1
Determine the domain of the function f(x)=-x-10/-3x^3+5x^2+10x
