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Given a string, write a recursive function to find its first uppercase letter. Your function should

return the letter.

Function Prototype: char findUppercase(char* str);


A dog gave birth of six puppies. Three of them are male while the rest are female. If you are to be

given three puppies at random, list all the elements of the sample space using the letters M and F for

male puppies and female puppies, respectively. Then assign a value x of the random variable X

representing the number of male puppies you receive.


If A={1,2,3}, identify the power set of the given set A.



P(A)=


P(A)={ }


and


P(A)=

Show that Sigma infinity n=1 ( -1)^n+1 5÷7n+2 is conditionally convergent

Show that y= c1ex + c2e2x is the general solution of y’’-3y’+2y=0 on any interval, and find the particular solution for which y(0)=-1 and y’(0)=1


Calculate de broglie wavelength and velocity of an electron carrying kinetic energy 3keV

why will demand for cars increase in the future? why demand for cars will decrease in the future?

The volume of a cube is increasing at a rate of 1200 cm3/min at the


moment the lengths of the sides are 20 cm. How fast are the lengths of


the sides increasing at that moment?

show that y=c1e^x+c2e^2x is the general solution of y''-3y'+2y=0 on any interval, and find the particular solution for which y(0)=-1 and y'(0)=1


1. Let f be the function deÖned by

f (x) = x^2/(-2x + 1)^2

(a) Determine the vertical and horizontal asymptotes (show all limits).

(b) Use the sign pattern for f'(x) to determine

(i) the interval(s) over which f rises and where it falls;

(ii) the local extrema.

(c) Use the sign pattern for f''(x) to determine

(i) where the graph of f is concave up and where it is concave down.

(ii) the inflection points (if any)


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