Let f(x, y) be a differentiable function of 2 variables and let r(t) = 3 sin(t)i + 3 cos(t)j. If Vf(0, -3) = -3i+ 4j and Vf(-3,0) = 2i + 3j and g(t) = f(r(t)), then g'(x) = 2 Crop one question at a time

Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's…

A:

Q: (5) (sec-i x) =, d

A:

Q: Find F(t) such that F'(t) = sec³ (t) tan³ (t) and F (3) = 0.

A:

Q: f(i) = 5, f'(i) = -3i, g(i) = 3i, and g'(i) = 4. Find (fg)'(i).

A: Given fi=5,f'i=-3i,gi=3i,g'i=4. Find fg'i.

Q: (a) Use f(t) = a cos (b(t- c)) + d to model these conditions. (b) Evaluate f(1) and f(7). (a)…

A:

Q: suppose that y is a differentiable function of x and z = sin (x5y8). Express dz/dx in terms of x,…

A:

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: EX: Find the F.T. of the triangular pulse: g(t) = AA ( + ) Sols Apply differentiation property of…

A: We need to derive the expression: Aτ2sinwτ4wτ42 from the expression: 8Aw2τsin2wτ4. The expression:…

Q: Suppose the velocity of a ninja is given by v = ft, 3t², sin(π) at time t. If the position of the…

A:

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

A: