97. The velocity of a body falling from rest varies directly as the time of falling. If the velocity of a ball is 160 feet after 5 seconds of fall, what will it be at the end of the 10th second?

n =

98. In an arithmetic progression, a=√=1, d=1+√−1, = 20. Find 7 and s.

99. Write the (r+1)th term of (a+b)”.

101. Plot the graphs of 4 x2 + 9 y2 = 36, x+2y=3. Check by solution.

102. Insert 4 geometrical means between √−1 and 32. 103. Prove the formula for 7 in each of the progressions. 104. Form the quadratic equation which has for one root the positive value of √7+4√3, and for the other root the arithmetic mean between 4-2√3 and zero.

105. If m:n =n: s=s:t, show that n+s is a mean proportional between m +n and t + s.

=

106. Solve xy
107. Solve and test the solution: Vx2.

· 2 m2 + 5 m + 2, x2 + y2 = 5 m2 + 8 m + 5.

mx + n − x = m.

12

that does not contain x.

109. Solve for s and t: s2+ st+2ť2 = 46,

110. Plot the graphs of x2 + y2+x+y=34, x + y −7=0.

111. What is the value of 1.027027

?

112. Find x if 32x-2 = (9-1)x−3.

113. If a + b = 61, and a2 — b2 = 1, find the values of a

and b.