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Calculus
f(x)=1 when x in Q,,,f(x)=0 when x is't in Q prove this function in no point have limit
Calculus
Find the derivative
e^(x+y)=x+y
e^(x+y)=x+y
Calculus
Calculate the second and third points of the iteration sequence with recurrence relation Xn+1 = AXn (n=0,1,2...), for each of the following initial points:
i) (-1,1)
ii) (1,1)
answer and workings please as i want to know how it is achieved!
i) (-1,1)
ii) (1,1)
answer and workings please as i want to know how it is achieved!
Calculus
Suppose a patient is given a continuous intravenous infusion of glucose at a constant rate of r mg/min. Then, the rate at which the amount of glucose in the bloodstream is changing at time t due to this infusion is given by
A'(t) = re−at
mg/min, where a is a positive constant associated with the rate at which excess glucose is eliminated from the bloodstream and is dependent on the patient's metabolism rate. Derive an expression for the amount of glucose in the bloodstream at time t.
Hint: A(0) = 0.
A'(t) = re−at
mg/min, where a is a positive constant associated with the rate at which excess glucose is eliminated from the bloodstream and is dependent on the patient's metabolism rate. Derive an expression for the amount of glucose in the bloodstream at time t.
Hint: A(0) = 0.
Calculus
Use the alternating series test to determine convergence or divergence of the series
∑i=1 ∞ (-1)^(i+1) {(i+3)/(i^2+10)}
showing all work
∑i=1 ∞ (-1)^(i+1) {(i+3)/(i^2+10)}
showing all work
Calculus
A commuter is driving along a highway on which the speed limit is 60 miles per hour when he
unknowingly runs into a speed trap involving two police officers. The first officer is positioned at
mile marker 92 and clocks the commuter’s car at 55 miles per hour. Five minutes later, a second
police officer at mile marker 98 clocks the car at 60 miles per hour. Can the commuter be charged
with a speeding violation?
unknowingly runs into a speed trap involving two police officers. The first officer is positioned at
mile marker 92 and clocks the commuter’s car at 55 miles per hour. Five minutes later, a second
police officer at mile marker 98 clocks the car at 60 miles per hour. Can the commuter be charged
with a speeding violation?
Calculus
how do you solve 33 anf 1 third percent as a decimal
Calculus
Supose we already know that heads have a defect that favour its hits.
We have tested that the coin is not fair and it is biased to heads.
Or we have modified the coin with the purpose to have an advantage.
What I want to know is the degree of deviation of this coin.
It is not the same situation being biased hitting 51/100 than hitting 55/100 or 65/100.
For all these posible conclusions we have to throw the coin x times.
In this situation we donnot need to decide wether the coin is biased or not.
Is there a degree of error to decide for example that the coin is biased to heads from 1 to 3%? Or 4 to 6% or whatever.
What are the smallest samples to determine this degree?
Is there a rule to relate the standard deviation number gained, the extension of the sample and the mean(the advantage, more than 50/100) of heads.
We have tested that the coin is not fair and it is biased to heads.
Or we have modified the coin with the purpose to have an advantage.
What I want to know is the degree of deviation of this coin.
It is not the same situation being biased hitting 51/100 than hitting 55/100 or 65/100.
For all these posible conclusions we have to throw the coin x times.
In this situation we donnot need to decide wether the coin is biased or not.
Is there a degree of error to decide for example that the coin is biased to heads from 1 to 3%? Or 4 to 6% or whatever.
What are the smallest samples to determine this degree?
Is there a rule to relate the standard deviation number gained, the extension of the sample and the mean(the advantage, more than 50/100) of heads.
Calculus
1. True or false: If f is a linear function, then f has an inverse? Is it f(x)=3 is a linear function?
2. Let f(x)= definite integral of the square root (1+t^3) dt with lower and upper limit are 3 and x respectively. (a) argue that f has an inverse function (b) find f^-1(0)
2. Let f(x)= definite integral of the square root (1+t^3) dt with lower and upper limit are 3 and x respectively. (a) argue that f has an inverse function (b) find f^-1(0)
Calculus
Hello, this is my math question relating to number sequences. Is there a specific equation for a number plus(+) every whole number less than it down to 1? [Ex.] 365+364+363+...1=?
