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Wendy has 5 pairs of pants and 8 shirts. How many different combinations could she form with these items?
Multiply the number of choices for each item to find out the number of combinations (5 × 8 = 40). There are 40 combinations.
if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2
Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse
Let f : R 3 → R be de?ned by: f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y
1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia
Find out if the following set of vectors are linearly independent or linearly dependent. If they are linearly dependent get the relationship among them. Solution : Ther
solving
Scalar Multiplication - Vector arithmetic Another arithmetic operation that we wish to look at is scalar multiplication. Specified the vector a → = (a 1 , a 2 , a 3 ) and any
Are there more rational numbers than integers?#
Determine or find out if the subsequent series is convergent or divergent. If it converges find out its value. Solution To find out if the series is convergent we fir
THINKING MATHEMATICALLY : Have you ever thought of what mental processes you are going through when you are solving a mathematical problem? Why don't you try the following proble
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