Motion in Space: If 7(t) represents the position function, then the velocity function O = F"(t), the acceleration function d(t) = '(t) = F"(t), and speed is given by |v(t)l. A particle moves with position function 7(t) = 2/2 ti+ e2t j + e-2t R. Find the velocity, acceleration, and speed of the particle. [12 points each for (e), d(+), [ū(e)| ]

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Q: 2. (a) Define what it means by for y = f(x). %3D

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A: Given data, P(A U B)=0.90 P(A)=0.70 P(B|A)=0.40 P(B)=?

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A: Given,    f ′ (x) = 2x2 and f (4) = 5

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A: Please refer the attached image for complete solution.

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A: We need to express y as a function of x. The constant C is a positive number.; ln(y + 4) = 5x + ln C

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Q: What is the equation of the midline of the function f(x) = 5.6 sin (1.2x2.3) +1.8? y = -2.3 Oy=-1.8…

A: f(x)=5.6sin(1.2x-2.3)+1.8we know mid line of sin function is x-axis on x-axis y is zero