lim x → 2 g(x^2) / (3x + f(x)) ?
87. The velocity of a particle moving along the x - axis is given by v (t) = (1 - t^3) / (1 + t) for t ≥ 0 . Which of the following statements is true about the particle at time t = 1.5 ?
Answer :
88. The figure shows the graphs of the polar curves r = 4 (sin ( 2θ))^2 and r = 1 for 0 ≤ θ ≤ π/2. What is the area of the shaded region ?
89. The graph of the function f shown consists of a semicircle centered at the origin and three line segments. If g(x) = -2∫x (f (t) +1) dt , then g (8) ?
Answer :
90. The position of a particle moving in the xy-plane is given by the parametric equation x (t) = 5 ln (t + 5) and y (t) = 5 sin (πt). At ant point on the curve, the slope of the line tangent to the path of the particle is given by dy/dx = π cos (πt) (t + 5). What is the value of d^2y / dx^2 at t = 1 ?
Answer :
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