Let F(x)=∫ sin(t^2) dt from 0 to x for 0≤x≤3. a) Use the Trapezoidal Rule with four equal subdivisions of the closed interval [0, 2] to approximate F(2). b) On what interval or intervals is F increasing? Justify your answer. c) If the average rate of change of F on the closed interval [0, 3] is k, find ∫ sin(t^2) dt from 0 to 3 in terms of k.

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.

lr = 24

step-by-step explanation:

note that p is the midpoint of lr. to find the measurement of lr, set the equation:

lr = lp + pr

plug in the corresponding numbers to the corresponding variables:

lr = (15) + (9)

simplify:

lr = 24

24 is your measurement of lr.

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