Let (x, y, z) sin(xy z) and P (0, 1, ) Calculate D u (P), where u is a unit vector making an angle 30 with P ...

The directional derivative DufP is the following dot product Duf P Vfpu P Since u ...

Let (x, y, z) = sin(xy + z) and P = (0, 1, ). Calculate D u

Question:

Let ƒ(x, y, z) = sin(xy + z) and P = (0, −1, π). Calculate D_u ƒ(P), where u is a unit vector making an angle θ = 30° with ∇ƒ_P.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Jan 16, 2024 09:01 AM

See More Questions

Time value of money supports the comparison of cash flows recorded at different time period by a) Discounting all cash flows to a common point of time b) Compounding all cash flows to a common point...
Assume that transaction costs are zero and there is no credit risk in any transaction. Suppose that: (1) the price at time 0 of a 2-year annual-pay coupon bond with face value $100 and a coupon rate...
If the dollar-euro exchange rate on June 30, 2010, is $1.225 per euro, then the euro-dollar exchange rate would be? Please show work. A) 2.45 per dollar B) 0.816 per dollar C) 1.225 per dollar D) 1...
Our thoughts return to Ambrose and his nuts and berries. Ambroses utility function is U(x1, x2) = 4x1 + x2, where x1 is his consumption of nuts and x2 is his consumption of berries. (a) Let us find...
At low to moderate pressures the equilibrium state of the watergas shift reaction CO + H 2 O = CO 2 + H 2 is approximately described by the relation where T is the reactor temperature. K e is the...
A pulse of light takes 2.63 ns (see Table 1-4) to travel 0.500 m in a certain material. Determine the material's index of refraction, and identify this material. TABLE 23-1, Indices of Refraction...
If the maximum allowable bending stress for the W16 $\times 50$ structural A992 steel beam is $\sigma_{\text {allow }}=30 \mathrm{ksi}$, determine the maximum height $h$ from which a 30-lb...
The manager of Sarahs Ice Cream store needs an accurate forecast of the demand for ice cream. The store orders ice cream from a distributor a week ahead, and if too little is ordered the store loses...
what ways do mindfulness-based stress reduction (MBSR) techniques contribute to reducing stress, and what are their limitations ?
Let T(x, y) be the temperature at location (x, y) on a thin sheet of metal. Assume that T = (y 4, x + 2y). Let r(t) = (t 2 , t)be a path on the sheet. Find the values of t such that d dt T(r(t)) = 0
Let (x, y) = xe x2y and P = (1, 1). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the direction Vfp. (c) Find the rate of change of f in the direction of a vector making an angle of 45...
A random variable X is normally distributed with a mean of 100 and a variance of 100 and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables...
Select a developing country that interests you and search for evidence suggesting which factors are the binding constraint on growth. (For inspiration, see the sources in Box 4. 2.) Box 4 . 2 El...
Explore the website of the UN Global Compact initiative, at https://www.unglobalcompact.org/. Click on the heading Engage Locally, and explore some of the companies in your part of the world that...
A horizontal metal strip $1.0 \mathrm{~mm}$ thick and $20 \mathrm{~mm}$ wide carries a 20-A current along its length, and both the length and the width are perpendicular to a uniform magnetic...
A particle that has mass $m$ and charge $q$ enters a uniform magnetic field that has magnitude $B$ and is directed along the $x$ axis. The initial velocity of the particle is in the $x y$...
An electron carrying a charge $-e=-1.60 \times 10^{-19} \mathrm{C}$ moves in a straight line at a speed $v=3.0 \times 10^{7} \mathrm{~m} / \mathrm{s}$. What are the magnitude and direction of the...
Worf Co. both purchases and constructs various equipment it uses in its operations. The following items for two different types of equipment were recorded in random order during the calendar year...
A 20-cm-square vertical plate is heated to a temperature of 30oC and submerged in glycerin at 10oC. Calculate the heat lost from both sides of the plate.
In how many ways can 4 people be lined up?
In how many ways can 5 different boxes be stacked?
How many different three-letter codes are there if only the letters A, B, C, D, and E can be used and no letter can be used more than once?
1. Earned value management (EVM) is a vital tool used by project managers to facilitate the integration of a projects scope, time and cost objectives and for the establishment of a baseline plan for...
Temperature { Consider the Cu-Ag phase diagram. 1000 800 Composition (at % Ag) 20 40 60 80 100 2000 Liquidus Solidus Liquid a + L B 780C (TE) 7.9 (CF) 600 Solvus + B 1800 F 1600 E A+L 71.9 91.2 1400...
The significance of an event to a particular financial market or stock can be determined through changes in the exchange index or changes in individual stock prices. Explain how to ensure that the...

Let (x, y, z) = sin(xy + z) and P = (0, 1, ). Calculate D u

Question:

Step by Step Answer:

The directional derivative DufP is the following dot product Duf P Vfpu P Since u ...View the full answer

Calculus

Students also viewed these Mathematics questions