SOLUTION: Q4 (a) Find the maxima, minima, and inflection points of y = 3x5 - 5x3. Indicating those points, draw the graph of y = 3x5 - 5x3. (b) An open lid tank to be made by concrete ha

Question 1183467: Q4 (a) Find the maxima, minima, and inflection points of y = 3x5 - 5x3. Indicating those points, draw the graph of y = 3x5 - 5x3. (b) An open lid tank to be made by concrete has width 50cm, inside capacity of 4000 m3 and square base. Find the inner dimension of the tank with the minimum volume of concrete. (c) Using definite integrals, design a mathematical model to find the inner volume of a circular tube of a vehicle wheel. (d) Draw the curves of y2 = 4ax and y2 = a(8 - 4x) in the same diagram, where a > 0. i) Find the area S enclosed by the curves. ii) If the area S is rotated of an angle 21 about: (a) x-axis; (B) y-axis; then find the volumes of the generated bodies.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Basic rule of the forum: ONE and only one problem per post.

Re-post the problems separately.

RELATED QUESTIONS
Determine the abscissae of the maxima, minima and inflection points. y = x^4 + 6x^3 - 5 (answered by Alan3354,gbnbgb)

Consider the leading term of the polynomial function. What is the end behavior of the... (answered by jim_thompson5910)

Consider the leading term of the polynomial function. What is the end behavior of the... (answered by josgarithmetic)

Consider the leading term of the polynomial function. What is the end behavior of the... (answered by Boreal)

graph the function y=3cos(x-2pi/3) To draw the graph, plot all points corresponding to... (answered by Alan3354)

Determine the abscissae of the maxima, minima and inflection points. y = x^4 + 6x^3 - 5 (answered by richard1234)

Find the x and y intercepts, asymptotes, x-coordinates of the critical points, open... (answered by josgarithmetic)

Sketch by hand F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of (answered by Fombitz)

Evaluate f(x) = 3x5 � 5x3 + 2x2 + 6 for: a. x = 0 b. x = 2 c. x = -2 d. 2x (answered by scianci)