# MCQs in Calculus Part III - Answers

Answers key for the Compiled MCQs in Calculus Part 3 of the series as one topic in Engineering Mathematics in the ECE Board Exam.

Below are the answers key for the Multiple Choice Questions in Calculus – MCQs Part 3.

101. C. 32/3

102. A. 88/3

103. B. 64/3 square units

104. A. 21.33

105. A. 75

106. A. 5.33

107. D. 10.67 sq. units

108. A. 4.25

109. D. 5.595

110. D. 10.7

111. A. 8

112. D. 32/3

113. C. a^2

114. A. 0.4 from the x-axis and 0.5 from the y-axis

115. B. (0,1.6)

116. B. (3/5, 3/4)

117. B. 4.6 units

118. A. 5.33

119. A. 355.3

120. B. 2228.83

121. B. 181

122. D. 26.81

123. C. 59.22

124. D. 50.26

125. B. 2.13

126. A. Fourth order, first degree

127. C. 2xy dx + (2 + x^2) dy = 0

128. C. 2y dx = (x^2 + 1) dy

129. C. y’ = y/(2x)

130. C. 1.55

131. B. x^3 – 3y + 2 = 0

132. C. y = y^2 + C

133. B. sin x cos y = ln (c sin x)

134. C. x^2 – 2y – 1 = 0

135. B. y(k) = 20 + 5k

136. A. sqrt(x^2 + y^2) + y = C

137. A. (x – 1) y” – xy’ + y = 0

138. A. y = C (sec x + tan x)

139. D. ln (xy) = x + 2y) + C

140. C. x^2 - 2xy - y^2 = C

141. B. ydx=(x+1)dy

142. B. xdy – ydx = 0

143. A. 2xdx – ydy = 0

144. C. (x – h)dx – (y – k)dy = 0

145. C. x + yy’ = 0

146. C. 92.16

147. B. 116 years

148. A. 6.70%

149. A. y = Ce^(-x)

150. A. 33.59 min.

### Online Questions and Answers in Calculus Series

Following is the list of practice exam test questions in this brand new series:

Calculus MCQs
PART 1: MCQs from Number 1 – 50                        Answer key: PART I
PART 2: MCQs from Number 51 – 100                        Answer key: PART II
PART 3: MCQs from Number 101 – 150                        Answer key: PART III
PART 4: MCQs from Number 151 – 200                        Answer key: PART IV
PART 5: MCQs from Number 201 – 250                        Answer key: PART V
PART 6: MCQs from Number 251 – 300                        Answer key: PART VI

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