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4. [-12 Points] DETAILS LARCALC11 13.5.007. Consider the following. W X- x = 4, y =...
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
Consider the following. w = In(x2 + y), x = 2t, y = 5 - t (a) Find af by using the appropriate Chain Rule. (b) Find by converting w to a function of t before differentiating. -/1 POINTS LARCALC11 13.R.054. Differentiate implicitly to find oux x2 = 9 x + y -11 POINTS LARCALC11 13.R.069. Find an equation of the tangent plane to the surface at the given point. z = x2 + y2 + 9, (1, 2, 14)
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Consider the following. W = V 81 - 5x2 - 5y2, X = r cos(2), y = r sin(O) (a) Find Ow/ar and ow/80 by using the appropriate Chain Rule. aw ow an = (b) Find Ow/or and Ow/ae by converting w to a function of r and before differentiating. aw dr ow 20 Submit Answer
10. (-/6.25 Points] DETAILS LARCALC11 2.R.037. Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 4x sec(x) 11. [-76.25 Points] DETAILS LARCALC11 2.R.050. Find the second derivative of the function. h() = 18 cos(t) - 17 sin(t) h"(t) =
13. [-/3 Points) DETAILS LARCALC11 3.1.031. Find the absolute extrema of the function on the closed interval. g(x) - 2x2 X-6 (-3, 2] minimum (x, y) = (smaller x-value) (larger x-value) minimum (x, y) - maximum (x,y) = Need Help? Medit Talk to a Tutor 14. (-/2 points) DETAILS LARCALC11 3.1.508.XP. Find the absolute extrema of the function on the closed interval. 4 h(s) = [0, 1] 3 minimum (s, h) - maximum (s, h) = Need Help? Watch it...
(1 point) х Suppose w 9 y + where у 2 + sin(2t), and z = z X = e e5t, y 2 + cos(7t). as X. dw A) Use the chain rule to find as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e e5t d dw 5/y(e^5t)+-x/y^2+1/z(2cos(2t))+(-y/3^2)*(-7sin(7t)) dt Note: You may want to use exp() for the exponential function. Your answer should be...
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
For the functions w = xy + yz + xz, x=u +21, y=u-2v, and zuv, express dw du dw and ar using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate dw du dw and ov at the point (u, v) = اله | العيا dw dw Express and du ov as functions of u and v dw du dw av Evaluate dw and du ow ar at Nim dw du...
10. [-/8 Points) DETAILS LARCALC11 7.4.019. Find the arc length of the graph of the function over the indicated interval. + 273/2, Osy54 Need Help? Read Talk to a Tutor 11. [-/8 Points] DETAILS LARCALC11 7.4.015. Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) x = \n (snew). (1 Need Help? Read it Watch it Talk to a Tutor 12. (-/10 Points DETAILS LARCALC11 7.4.013.MI.
1. -/5 POINTS LARCALC11 2.6.003. 0/2 Submissions Used Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. y = x (a) Find dy/dt, given x = 1 and dx/dt = 8. dy/dt = (b) Find dx/dt, given x = 64 and dy/dt = 7. dx/dt =