What is the area enclosed by the curves y=x^3-8x^2+18x-5 and y=x+5

a. What is the area enclosed by the curves y = x∧3 – 8x∧2 + 18x -5 and y = x + 5? a. 10.667 b. 11.833 c. 14.583 d. 21.333 e. 32 b. An object traveling in a straight line has position x(t) at time t. If the initial position is x(0) = 2 and the velocity of the object is v(t) = (1 + t∧2)∧(1/3), what is the position of the object at time t = 3? a. 0.431 b. 2.154 c. 4.512 d. 6.512 e. 17.408 c. On the graph of y = f(x), the slope at any point (x,y) is twice the value of x. If f(2)= 3, what is the value of f(3) a. 6 b. 7 c. 8 d. 9 e. 10

Answer

a for intersection 23-8x?+18x – 5 = 2+5 z?-822+19% -10=0 1, 2,5 areu will be as 2 A = -3x+181-5). 1 (zdas ) À = $ 22-83°4182-a ya flug slobe f (x) given F(x) = 2x by integrating Sf(x1 = (2x dx Fix) = n2+ c ginen f(2)= 3 3= 4 to -> (5-1 2 f(x)= x2-1

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