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the production costs per week for generating x widgets is given byc x 500 350 x - 009 x2 0 le x le 1000answer
an apartment complex contains 250 apartments to rent if they rent x apartments then their monthly profit is specified by in
proof for properties of dot productproof of urarr bull vrarr wrarr urarr bull vrarr urarr bull wrarrwell begin with the three vectors urarr u1 u2
rules to verify how many significant numbers has in a calculated quantity1 all nonzero digits are significant as like 457 cm has three
business applicationsin this section lets take a look at some applications of derivatives in the business world for the most of the part these
use newtons method to find out an approximation to the solution to cos x x which lies in the interval 02 determine the approximation to six
newtons method if xn is an approximation a solution of f x 0 and if given by f prime xn ne 0 the next approximation is given
compute the dot product for each of the subsequent equation a vrarr 5irarr - 8jrarr wrarr irarr 2jrarr b ararr 0 3 -7 brarr 2
i the size examines cannot be operated to derive relations other than product of power functions for example s ut 12 at2 or y y0 cosomegat and
dot product- vector the other topic for discussion is that of the dot product let us jump right into the definition of dot product there is given
proof of the properties of vector arithmeticproof of avrarr wrarr avrarr awrarrwe will begin with the two vectors vrarr v1 v2 vnand w w1 w2
properties of vector arithmeticif v w and u are vectors each with the same number of components and a and b are two numbers then we have then
standard basis vectors revisited in the preceding section we introduced the idea of standard basis vectors with no really discussing why they were
determine or find out if the sets of vectors are parallel or nota ararr 2-41 b -6 12 -3b ararr 410 b 29solution a these two vectors are parallel
parallel vectors - applications of scalar multiplicationthis is an idea that we will see fairly a bit over the next couple of sections two
rule 1 in order to sum or subtract two physical quantities the quantities must have the similar dimension the final physical quantity has the similar
determine dy amp deltay if y cos x2 1 - x as x changes from x 2 to x 203 solutionfirstly lets deetrmine actual the change in y deltay
determine the differential for determine the differential for
differentials in this section we will introduce a notation we will also look at an application of this new notationgiven a function y f x we call
kelvin kelvin is the fundamental unit of temperature it has quantity of zero where the molecular activity of gases ceasesmole mole is the fundamental
coulomb coulomb is the fundamental unit of charge it is explained as the charge required to obtain 9109 newton of force among two equal charges
the elctric field in a certain region of space has components ex 60 nc ey 70 nc and ez 0 find the electric flux though the surface x 6y 0 lt x lt
scalar multiplication - vector arithmeticanother arithmetic operation that we wish to look at is scalar multiplication specified the vector ararr a1
i meter the presently accepted definition of meter is the length of path travelled by light in space in 1299792458th secondii kilogram kilogram is
the earths rotation about its axis changes measurably over time you dont have to worry about the details all you need to know is that our days are