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a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear?
b. Cassie decides that four of her skirts should not be worn to school. How many possible outfits can she wear to school today?
c. Two of Cassie's friends come over and share her clothes. In how many different ways can the three girls wear the seven skirts?
d. Cassie has six bracelets. In how many different ways can she wear three bracelets at a time?
What is modi method?
cot functions
rational number as decimal and check
Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
Consider the function f(x) =1/2 (2 x +2 -x ) which has the graph (a) Explain why f has no inverse function. You should include an example to support your explanation
how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
RATIONAL NUMBERS All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus it can be noticed that every integer is a rational number
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
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