100th FotD Quiz!!!
100th FotD Quiz: Test Your Knowledge!
Welcome to the 100th FotD Quiz, where you can challenge your knowledge across various fascinating topics! Put your mind to the test with questions ranging from the animal kingdom to keyboard designs, and much more.
Engage with our interactive quiz that includes:
- Multiple Choice Questions
- Thought-Provoking Scenarios
- Fun Facts Upon Completion
Suppose w = Q(x, y, z), where Q is a differentiable function. Next suppose that
x = f(t), y = g(t) and z = h(t).
Which one is an expression for dw dt in terms of Q, f, g, h and their derivatives (e.g. Qx, f 0 , etc.)?
x = f(t), y = g(t) and z = h(t).
Which one is an expression for dw dt in terms of Q, f, g, h and their derivatives (e.g. Qx, f 0 , etc.)?
Dw dt = Qx(x, y, z) dx dt + Qy(x, y, z) dy dt + Qz(x, y, z) dz dt = Qx(f(t), g(t), h(t))f 0 (t) + Qy(f(t), g(t), h(t))g 0 (t) + Qz(f(t), g(t), h(t))h 0 (t) = Qx(~r(t))f 0 (t) + Qy(~r(t))g 0 (t) + Qz(~r(t))h 0 (t)
F(x, y) ≈ f(1, 3)+fx(1, 3)(x − 1) + fy(1, 3)(y − 3)+ fxx(1, 3) 2 (x − 1)2 + fxy(1, 3)(x − 1)(y − 3) + fyy(1, 3) 2 (y − 3)2 .
V = k~v(t)k = p (−4 sin t) 2 + (cost) 2 = p 16 sin2 t +
Grad f(x, y) = (3x 2 − y − π sin(π(x + y)))~i + (−x − π sin(π(x + y)))~j,
In which of the countries below are you least likely to be bitten by a mosquito?
Iceland
Greenland (Denmark)
Russia
Canada
Norway
Tajikistan
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