Need answers to these questions only

Qfuhygm
timer Asked: Jan 16th, 2018

Question Description

these are multi variable calc problems. Typically seen in calc 3 classes. I really only need the answers to these problems. Please double check the work as well. I have a hard time solving these

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If u(t) = (sin(36), cos(26), e) and v(t) = (t, cos(26), sin(36)), use Formula 4 of this theorem to find duce) - Vres] Need Help? Watch It Talk to a Tutor -11 points Scalc8 13.2.048. My Notes If u(t) = (sin(26), cos(26), e) and v(t) = (t, cos(2), sin(26)), use Formula 5 of this theorem to find u(e) x (D) dc Need Help? Talk to a Tutor 1. + -13 points Scalc8 14.6.502.XP. My Notes U= Consider the following equation. f(x, y) = sin( 3x + 4y), P(-12,9), - }{/31 -1) (a) Find the gradient of f. Vf(x, y) = (b) Evaluate the gradient at the point P. vf(-12, 9) = (c) Find the rate of change of fat P in the direction of the vector u. DJ-12, 9) = Need Help? Watch It Talk to a Tutor 2. -11 points Scalc8 14.6.011. My Notes Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y) = 7e* sin(y), (0, 1/3), v = (-6, 8) DulO, 7/3) - Need Help? Talk to a Tutor 3. + -/3 points Scalc7 14.6.023.MISA My Notes This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, y) = sin(xy), (5,0) Step 1 Recall that the direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector f(a, b). For f(x, y) = sin(xy), we have Vf(x, y) = Submit Skip (you cannot come back) Il Sprint 71% 9:07 PM webassign.net -12 points Scalc8 14.6.510.XP. My Notes Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, y, z) = x2 + y2 + 22, (6, 2, -8) maximum rate of change direction vector Need Help? Watch It Talk to a Tutor 5. + -12 points Scalc8 14.6.029.MI.SA. My Notes This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find all the points at which the direction of fastest change of the function rx, y) = x2 + y2 - 10x - 16y is i+j. Step 1 The direction in which the maximum rate of change of axy) occurs at a point (a, b) is given by the vector ba, b). For R(x, ) = x2 + y2 - 10x - 16y, we have Vf(x,y) - Submit Skip (you cannot come back) Need Help? Talk to a Tutor 6. + -13 points Scalc8 14.6.032. My Notes The temperature at a point (x, y, z) is given by T(x, y, z) = 200e-x2 - 5y2 - 922 where T is measured in °C and x,y,z in meters. (a) Find the rate of change of temperature at the point P(4, -1, 5) in the direction towards the point (5, -5,6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P. Need Help? Talk to a Tutor Theorem Suppose u and v are differentiable vector functions, c is a scalar, and f is a real-valued function. Then 1. [u(t) + v(t)] = u'(t) + v'(t) dt 2. 2. [cu(t)] = cu'(t) dt 3. [f(t)u(t)] = f'(t)u(t) + f(t)u'(t) d [u(t) . v(t)] = u'(t) . v(t) + ult) . v'(t) [u(t) x v(t)] = u'ſt) v(t) + ult) * v'(t) 6. Or u [u(f(t))] = f'(t)u'(f(t)) (Chain Rule) dt 4. dt 5. dt d 6. Il Sprint 9:08 PM 71% webassign.net If f(x,y) = xy, find the gradient vector v2, 3) and use it to find the tangent line to the level curve f(x,y) = 6 at the point (2, 3). gradient vector tangent line equation Sketch the level curve, the tangent line, and the gradient vector. 0 KN AK 7 Need Help? Watch it Talk to a Tutor 8 + -11 points Scalc8 14.6.512.XP. My Notes At what point on the paraboloid y = x2 + 22 is the tangent plane parallel to the plane 7x + 2y + 5z = 6? (If an answer does not exist, enter DNE.) (x, y, z) = Need Help? Talk to a Tutor 9. + -/1 points Scalc8 14.6.055. My Notes Find any points on the hyperboloid x2 - y2 - 72 = 2 where the tangent plane is parallel to the plane z = 5x + 5y. (If an answer does not exist, enter DNE.) (X,Y,Z) = Need Help? Watch It Talk to a Tutor
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