Question: Find the direction in which the function is increasing most rapidly at the point Po. f(x, y, z)=xy-In z, P. (1,1,1). A. (i+j-k) B.

Find the direction in which the function is increasing most rapidly at the point Po. f(x, y, z)=xy-In z, P. (1,1,1). A. (i+j-k) B. (i+j-k) C. (i-j+ k) 3 D. (i+j-k)

Step by Step Solution

★★★★★

3.25 Rating (143 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

B fxy z xy In z at point Po Cirle Find the direction in ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Repairs to office machinery were entered as capital expenditure in the accounting records. How did this affect the financial statements? Profit for the year Non-current assets Overstated Understated...

Part A - Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, andz directions given P = 20.0 N, a = 112.0, B = 78.0,...

Emily Jackson (Social Security number 765-12-4326) and James Stewart (Social Security number 466-74-9932) are partners in a partnership that owns and operates a barber shop. The partnership's first...

For the two linear functions, find the point of intersection: x = y + 2 2x 3y = 1

The revenue R (in millions of dollars) for a beverage company is related to its advertising expense by the function R = 1/100,000 (-x3 + 600x2), 0 ¤ x ¤ 400 Where x is the amount spent...

In Exercises find an equation of the tangent line to the graph of the function through the point (x 0 , y 0 ) not on the graph. To find the point of tangency (x, y) on the graph of , solve the...

Determine whether the lines L 1 and L 2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. L 1 : x = 5 - 12t, y = 3 + 9t, z + 2 3t L 2 : x = 3 + 8s, y = -6s, z ...

Determine whether the lines L 1 and L 2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. L 1 : x - 2/1 = y - 3/-2 = z - 1/-3 L 2 : x - 3/1 = y + 4/3 = z - 2/-7

Determine whether the lines L 1 and L 2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. x - 2 L;: 1 y - 3 -2 - 1 -3 x - 3 L2: 1 y + 4 z - 2 3 -7

Arrays are not fixed length and can grow or shrink depending on if the size of the data set varies. True False

The process of characterization is not always a technical, formalistic exercise, confined to the strict legal operation of the impugned law (law under review.) There are times when the Court will...

1. Consider a parent population with mean 75 and a standard deviation 7. The population doesn't appear to have extreme skewness or outliers. A. What are the mean and standard deviation of the...

Unit 2 FRQ Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional...

The performance of a technical device is described by m quality measures fj: R" R, j = 1, ..., m. The smaller their values the better the performance is. The requirements of technical feasibility...

(1) Evaluate the sums and products below for a few small values of n. Then make a conjecture about the value of the sum and product for all positive integers n, and prove your conjecture by...

What is the largest risk associated with data mining, the practice of programmatically collecting data for in - depth analysis to extract useful information? ( 2 0 pts ) Question 1 7 - What is the...

Michelles trust is subject to 3.8% surtax on the lesser of the trusts net investment income or the excess of the trusts adjusted gross income over the $12,400 threshold (the highest trust tax rate)....

Suppose that Converges at x = - 1. Why can you conclude that it converges at x = 6? Can you be sure that it converges at x = 7? Explain o0 "(x-3)" 0

In Problems 1-3, plot the curve whose parametric equation is given. 1. x= 2t, y = t - 3; 1 t 4 2. x = t/2, y = t2; --1 t 2 3. x = 2 cos t, y = 2 sin t; 0 t 2

Express the perpendicular distance between the parallel lines y = mx + b and y = mx + B in terms of m, b, and B.

Which brain structure relays incoming sensory information? a. thalamus b. hypothalamus c. hippocampus d. pons

Yvonnes ability to reach for and pick up her book is largely due to the functions of the _____________ pathway of the _____________ nervous system. a. motor; somatic b. sensory; somatic c. autonomic;...

The neurons of the sensory pathway contain a. both efferent and afferent neurons b. efferent neurons. c. afferent neurons. d. voluntary muscle fibers.