Calculus Answers

A 6 foot boy throws the javelin with an initial speed of 87 feet per second at an angle of 38° with the horizontal. What is the maximum height reached?

A 6 foot boy throws the javelin with an initial speed of 87 feet per second at an angle of 38° with the horizontal. How long is the javelin in the air?

Find the fourth roots of -1-i√3

z_1=1-i√3 and z_2=-√2+i√2
Find (z_2 )^6

z_1=1-i√3 and z_2=-√2+i√2
Find z_1/z_2 in trigonometric form.

z_1=1-i√3 and z_2=-√2+i√2
Find z_1∙z_2 in trigonometric form.

z_1=1-i√3 and z_2=-√2+i√2
Convert both to trigonometric form. 0≤θ≤2π

1) In the arithmetic series
k+ 2k+ 3k+................+100
k is a positive integer and k is a factor of 100

i) Find in terms of k, an expression for the number of terms in the series

ii) show that the sum of terms in this series is

50+500/k

iii) Find, in the terms of k, the 50th term of the arithmetic sequence
(2k+1), (4k+4), (6k+7),................

Given is a term and the common ratio of a geometric sequence, find the first four terms and the explicit formula

t5 = -16/27, r = 2/3
_, _, _, _

Tn=

The top and bottom margins of a poster are each 6 cm, and the side margins
are each 4 cm. If the area of the printed material on the poster (that is,
the area between the margins) is fixed at 384 cm2
, find the dimensions of the
poster with the smallest total area.