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4. [-12 Points] DETAILS LARCALC11 13.5.007. Consider the following. W X- x = 4, y = y (a) Find dw/dt by using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of t before differentiating. dw dt
10. [-/1 Points] DETAILS LARCALC11 13.R.069. Find an equation of the tangent plane to the surface at the given point. z = x2 + y2 + 2, (1, 3, 12)
3. Given w = x2 + y2, where x = eat and y = (4+t)2, use the chain rule to determine du
3. [-12 Points] DETAILS LARCALC11 13.5.003. Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 t = 2 X = 4, y = 5t dw = dt Evaluate dw/dt at the given value of t. Need Help? Read It Talk to a Tutor
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-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
Let z = x2 + y2 be the surface, and x = -1+t, y = 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following Select one: The acute angle between tangent to the surface and the given line at the -1 4 point (0,3, 9) is į – cos V537 The normal to the surface at the point (0,3, 9) is 6 j - k. The line is normal to the surface. The...
aw au B. Find the points in which the line x = 1 + 2t, y = -1 – t, z = 3t, meets the three coordinate planes. C. Evaluate and at the given point. w = In (x2 + y2+ z2), x = ue") y = ue'sinu, z = uecosu, (u, v) = (-2,0) A. Find the volume of the solid. II. z = 4 - 4(x2 + y2) z = (x2 + y2)2 - 1
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1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j + ick)...
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph
1. Sketch the graph of x(t) = sin(2t),y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and...
Let z = x2 + y2 be the surface, and x = -1+t, y= 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following 4 Select one: The acute angle between tangent to the surface and the given line at the -1 point (0,3,9) is į – cos V6 37 The normal to the surface at the point (0,3, 9) is 6 j-k. The line is normal to the surface. The line intersects at...