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The function f(x, y) =cos √x^3 +y^3 is a homogenous function. Say true or false.

Two written questions that can be given to learners for classwork to test their understanding of the subtraction of fractions.

What are the two assessment methods, other than a written test,which you would use to assess learners' understanding of the subtraction of fractions and a reason for each choice of method.

The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes. a) Find the probability that the time interval between two successive barges is less than 5 minutes. b) Find a time interval 𝑡 such that we can be 95% sure that the time interval between two successive barges will be greater than 𝑡.


Reduce the quadratic form X2+3Y2+3Z2-2yz to the canonical form through orthogonal transformation

Solve for the general solution using method of undetermined coefficients D4-1y=e-x

Given that X and Y are independent random variables and E(X) = 4, E(Y) = 7, Var(X) = 3, Var(Y) = 6; find Var(5X - 6).


using D' Alembert method, find the deflection of a vibrating string of unit length having fixed ends, with initial velocity zero and initial deflection f(x)=asin2nx


Four coins are tossed. Let z be the random variable representing the number of heads that turn up. Find the values of the random variable Z

Rene scored at the 65th percentile on a test given to 12,600 students. How many students scored higher than Rene?


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