Answered: Find the directional derivative of the…

Math

Calculus

Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8, 2), v = <2, 1, 2>

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

See similar textbooks

Related questions

Q: Determine whether Мі can be added M2 or not. Interpret. SC BN LD A 01 e1 e2 1 ez e4 e5 e6 e7 e8 eg…

Q: (2D2 + 3D – 9)X + (D² + 7D – 14)Y = 14..... (D + 1)X + (D + 2)Y = -8e2t 1 2 唱( %3D

Q: 2. You are considering purchasing an insurance policy for your office as per your business plan. The…

A: Cost of Policy = P 100,000 In case of minor accident, Expected loss = 1,000,000 *P(minor fire) =…

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: produces false positives with a probability of 0.02. If a person tests positive for the disease,…

A: Here use tree diagram and Bayes rule D = PERSON HAVE DISEASE T = TEST RESULT POSITIVE p(D) =…

Q: A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of a…

A: curved surface area of cone= lateral surface area of cone

Q: Write the equation in general form of the circle with center (-4,3) and radius V13.

Q: indly answer only LETTERS C AND D. Please show your complete solution. You can use MS excel. Thank…

A: s no concrete cylinder samples 1 4031 2 4112 3 4063 4 3965 5 3994 6 4002 7 3895 8…

Q: Let R be the region bounded by the graphs of 2 G₁ ² ( x − 3 ) ² + x ² = ²/1² 4¹ (0, 0) and C₂: y=…

Q: . Compute the central difference approximations of O (h^4) for the first derivative of y = cos(x) +…

Q: Please solve this question for me.

Q: Problem 5: The components of a vertical force P are Q = 200 N and S as shown in Figure 1.7 - 5. 1.…

Q: A transformation rule on coordinates can represent a composition, or a single transformation…

Q: Find a generating function for the sequence with recurrence relation an = 3an-1 – an 2 with initial…

Q: a. 1-z-1 1 b. 1 C. 1-3z-9

A: According to our company policy, we are supposed to answer only first three parts so for the rest…

Q: Working problem 4.25: Two cards are selected in sequence from a standard deck. Find the probability…

Q: If the joint distribution function of X and Y is given by F(x,y)=1-e*-e +e**;x,y>0. Are X and Y…

Q: Recall that the complex conjugate of a = a + bi E C is a = a - bi. Show that aßaß for every a, B e…

A: Given; Alpha = a +b i.

Q: 6. Consider the process of a student showing up for an exam in the wrong classroom and have…

Q: Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%…

A: Given data : Probability = .40 Sample (r)= 5

Q: 10) if lim (f(u) exists, then lim f(u) exists ů) True (i) False Jb) Suppose IP'm f(1) = M-0 then lim…

Q: At a point of 7.60 m from the base of a flagnole, the angle of elevation of the top of the pole is…

Q: 3 dx (x2–1)2

Q: Eyeglassomatic manufactures eyeglasses for different retailers. The number of days it takes to fix…

A: Solution: Let X be the number of days. From the given information, the probability distribution of X…

Q: 1. What is the inverse Laplace transform of this given? F(s) = 1 (s+1)(s²-1)

Q: The following are two sets of data for the atomic mass of antimony the work of Willard and McAlpine…

A: (c ) State the hypotheses. Determine the value of the test statistic. Use EXCEL to obtain the…

Q: Problem 2: In the following table, top professional football clubs ranked by total rever number of…

A: a. Excel Procedure: Enter X and Y data in Excel Go to Data Click on Data Analysis……..>…

Q: (y + lnx)dx − x² dy over the 1. Use Green's Theorem to evaluate the line integral rectangle in the…

A: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA

Q: The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with…

A: Given: Population mean = 32 Population standard deviation = 7.7

Question

The answer given was incorrect, please help me with this. write the complete solution

Find the directional derivative of the function at P in the direction of v.
h(x, у, 2) %3D хуz, Р(2, 8, 2),
v = <2, 1, 2>
32 4 32
Your answer cannot be understood or graded. More Information
3
3' 3
еВook

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Answer please
W A person's Body Mass Index is I = where W is the body weight (in kilograms) and H is the body height (in meters). A child has weight W = 41 kg and height H = 1.5 m. Use the linear approximation to estimate the change in I if (W, H) H² changes to (42, 1.52). (Use decimal notation. Give your answer to three decimal places.) ΔΙ~ 9
please help!
Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. ? ✓1. At the point (1, 0) in the direction of -3. ✓ 2. At the point (0, -2) in the direction of (2-23)/√5, ✓3. At the point (0, 2) in the direction of 3, 4. At the point (-1, 1) in the direction of (-7+3)/√2, ? ? ? ? ? V 5. At the point (-1, 1) in the direction of (-7-3)/√2, ✓6. At the point (-2, 2) In the direction of 7, V > 2.4 1.6 0.8 0 0.8 -1.6- -2.4 12.0 12,0 10.0 10.0 -2.4 6.0 -1.6 -0.8 0 X 0.8 4.0 (Click graph to enlarge) 1.6 12.0 10.0 8.0 10.0 12.0 2.4
Show that the cobb-douglas function satisfies the equation. Please give complete solutions. Thank you
Find the coordinates of ABC after a dilation of k = -4
Q3 Solve ASAP in 20 minutes
The derivative of f(r, y) at P(1, 2) in the direction of i +j is 2/2 and in the direction of-2j is -3. Then the derivative of f in the direction of -i - 2j is choose one of the answer 7 V5 4 V5 4. V5 7. V5
Find rate of change at PC2,0) when in of いINQU the direction uning thei direction Q(4,-2). Finid the direction to rate of increase P(2,0) love Sin (2y) 2- (ト「x)J- そメーて %3D
Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V= iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Polynomial Interpolation.
Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the current i flowing through the resistor as V= iR. Where R is the resistance. However, real resistors may not always obey Ohm's law. Suppose that you perform some very precise experiments to measure the voltage drop and the corresponding current for a resistor. The following results suggest a curvilinear relationship rather than the straight line represented by Ohm's law. i -1 - 0.5 - 0.25 0.25 0.5 1 V -637 -96.5 -20.25 20.5 96.5 637 Instead of the typical linear regression method for analyzing such experimental data, fit a curve to the data to quantify the relationship. Compute V for i = 0.1 using Newton's Divided Difference Method.
help on the second one