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Find the probability of having 53 Sundays in (i) a leap year (ii) a non leap year (Ans:2/7 , 1/7 ) Ans: An ordinary year has 365 da
1) Find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal) 2) Sketch the level curves of f(x,y) = x^2-2y^2
The Definition of the Derivative : In the previous section we saw that the calculation of the slope of a tangent line, the instantaneous rate of change of a function, and the ins
A juicer is available for 3500 cash but was sold under installment plan where the purchaser agreed to pay 1500 cash down and 3 equal quarterly installments. If the dealer charges i
Example of addition of Fractions: 105/64 + 15/32 + 1/6 =____ would require the denominator to be equal to 64 x 32 x 6 = 12,288. This type of number is very hard to use.
What is the ratio of the areas of sectors I and II ? (Ans:4:5) Ans: Ratio will be 120/360 Π r 2 : 150/360 Π r 2 4/12 : 5/12 =
apllication in business and economics
#question.As office manager of her firm, Marcellyne has been directed to buy new filing cabinets. She knows that cabinet A costs $10, requires 6 square feet of floor space, and hol
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
Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a
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