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find the length of the arc of the curve 9y2= (x2+2)3 from the point where x=0 To the point where x = 2.


A school principal claims that more than 67% of the 700 students of their school prefer printed modules. Test the hypothesis using 95% level of confidence.


Convert (3–√,−1) into polar coordinates (r,θ) so that r≥0 and 0≤θ<2π.


Write z1=3–√+i and z2=1−i in trigonometric form. Then the argument of the quotient z1z2is given by


Find the probability of getting 1 or fewer girls in 8 births


C. How many centimeters are in a meter?

D. What is the mode of the data set below:

5;6;1;4;7;3;8;2;4;3;8;9;4;6;1;2;6;5

E. Calculate the area of the darker shaded outer part below.The larger rectangle is 15cm long and 9 cm wide, the sides of the smallest square are 5cm each.


3.5 Multiply 62 by 35, firstly by breaking down 35 in its terms (30+5) and secondly by breaking down 35 in its factors (5×7). Show all your steps


during a high school spirit week student dress up in costumes. a cash price is given to students with the best costume the organization committee has $1000 to give away over 5 days the committee wants to increase the price by $50 each day how much should the committee give away on the first day?

A bowl contains 6 blue balls, 8 red balls, 6 white balls, and 10 yellow balls. What is the probability of picking a yellow ball?


If f(x,y) = x^3 + 4xy^2 + y^3, show that f(ax, ay)= a^3 f(x,y).

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