Past record shows that in summer season water level of earth decreases and water supply is interrupted so a society constructs a rectangular tank to fulfil water supply for its residents on a piece of land 8X3 m2 in such a way that the length and breadth of tank are less than length and breadth of land respectively by twice of its height x.
Answers
Step-by-step explanation:
1) volume of the tank as a function of x = 4x³-22x²+24x
2) for having maximum value for volume, x = 2/3 m
3) dimensions of tank constructed = 20/3 m, 5/3 m, 2/3 m
4) max volume of the tank is 7.4 m³ so the ans is "none of these".
5) max volume for the cuboidal tank is 27 m³
Answer:
Step-by-step explanation:
Answer:a,d,a,d,a
Step-by-step explanation:46. (8-2x)(3-2x)x is the expression for volume as volume =lbh. On simplifying answer will be 4x^3-22x^2+24x
47. The above expression should be differentiated with respect to x, i.e find derivative of that expression with respect to x. Now equate the derivate to 0. We get x=3 or x=2/3. X=3 not possible because land breadth itself 3m, then tank breadth will be 3-2x=3-2(3)=-3 which is not possible as length is always positive. So x=2/4
48. Height=x=2/3
Length=8-x=20/3
Breadth=3-x=5/3
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