Provide the appropriate response.Find the least number divisible by each natural number less than or equal to 10.
A. 3,628,800
B. 30,240
C. 2520
D. 100
Answer: C
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Solve the initial value problem.Differential Equation: = (-cos t)i + (4t3+ 8)jInitial Condition: r(0) = 4j
A. r(t) = (sin t)i + (12t2 + 4)j B. r(t) = (-sin t)i + (t4+ 8t + 4)j C. r(t) = (-sin t)i + (t4 + 4)j D. r(t) = (-sin t)i + (t4)j
Solve the problem.Sabrina plans to paint one side of a fence that seperates her yard from her neighbor's yard. The base of the fence is in the xy-plane with shape x = 30cos3t, y = 30sin3t, 0 ? t ? , and the height at (x, y) is 1 +
y, all measured in feet. How much paint will she need if a gallon covers 150 square feeet?
A. 7 gallons
B. 1 gallons
C. 225 gallons
D. gallons
For the pair of functions, find the product (fg)(x).f(x) = 4x + 3, g(x) = x2 + 6x - 7
A. x3 - 27x2 - 22x - 24 B. x2 - 10x + 4 C. 4x3 + 27x2 - 10x - 21 D. 5x3 + 29x2 + 10x - 20
Find the matrix product mentally, without the use of a calculator or pencil-and-paper calculations.
A.
B.
C.
D.