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1) (a) Show that the equation of the tangent line to the parabola
y2 = 4px at the point (x0, y0) can be written as
y0y = 2p(x + x0)
(b) What is the x-intercept of this tangent line? Use this fact to draw the tangent line.
how many seconds after the rock is thrown will it reach maximum height, and what is that height in meters? how many seconds after the rock is thrown will it reach the ground?
Basic probability problems
Consider English alphabets, how many 5 letters words can be form, if the 2nd letter can NOT be (B,D,E), 4nd letter must be (A,N) and the letter must not repeated.
imeter of the rectangle is 310ft. the width is 35ft less than the length. Find the width and length of the rectangle.
Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.
cterial colony doubles every five hours. Can you find the hourly growth factor and hourly growth rate?
an automobile manufacturer has assembly plants in detroit and cleveland each of which can assemble cars and trucks. the
A weather balloon is located on a bearing of N 42 E from the western station and a bearing of N 15 E from the eastern station. How far away is the balloon from the eastern station? From the Western Station?
What is the probability of underfilling the bottles by at least 30ml?
A poster is to have an area of 250 in2 with 3 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Is there a difference between solving a system of equations by the algebraic method and the graphical method?
a paper mill produces two grades of paper viz.x and y. bacause of raw material restrictions it cannot produce more than
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