Please show all your work. I will give an upvote if all work is correct.
we are given
now, we can find partial derivatives
now, we can plug
x=1 and y=pi/2
now, we can find gradient
now, we can find directional derivative
so, we get
............Answer
Please show all your work. I will give an upvote if all work is correct. Use...
Please show all your work. I will give you an upvote if the answer is correct. A company produces a spherical object of radius 28 centimeters. A hole of radius 8 centimeters is drilled through the center of the object. (a) the volume of the object 23040V 51 cm (b) the outer surface area of the object cm 2
please help me solve is 0 correct? Use the gradient to find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xyeloz, P(4, 20, 0), Q(0,0,0) 0
Solve the following problems. Show your work clearly. Q1. (10+10+5=25 points) a) Find the gradient of the function f(x, y) = 3x2 – 2xy + 2y and calculate it at (-1,1). b) Calculate the directional derivative of f(x,y) = 3x2 - 2xy + 2y at the point (-1,1) in the direction of the vector v =< -2,2> c) After solving part (a), if the vector in part (b) was given as v =< 1,0 > could you find the derivative...
if answered correctly and neatly i will thumbs up!! please answer all thank you! Calculate the gradient of f(x, y) = sin(x2 – 4y) Vf = Calculate the gradient of h(x, y, z) = x-3y-22-2 Vh= Calculate the directional derivative of S(x,y) = xy in the direction of y = -1 + 2) at the point P = (1,2). Remember to normalize the direction vector. D.$(1.2) = 11 point Calculate the directional derivative of f(x,y) = cos (xy) in the...
Answer the two parts. Label each your answers Find the directional derivative of the function at P in the direction of v. g(x, y) = x2 + y2, P(7, 24), v = 3i - 4j Submit Answer Find the gradient of the function at the given point. Function Point f(x, y) = x + 9y V + 1 (8, 2) 11 1 Vf8, 2) = 1316 Find the maximum value of the directional derivative at the given point.
please circle the answer! (1 point) Suppose f (x, y) = , P = (1, 3) and v 3i - 2j A. Find the gradient of f Vf = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) it j Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf...
please show all your work i am really trying to understand how to solve these Find the derivative of the function. y= - 3x In (7x + 1) Show all of your work on paper = dx Find the largest open intervals on which the function is 1. Increasing 2. Decreasing 3. Concave upward 4. Concave downward 3. find the location of any points of exterma and inflection. f(x) = 5x8 – 3x - 7 Show all of your work...
will upvote if answers are correct with working Question 24 4 pts Find an equation of the tangent plane to the surface x2 + y2 += 704 at the point (8. - 8, 16). 16(x-3)-96y+8)+ 32-16) = 0 16(x-8)- 48(y+8)+ 32(2-16)=0 16x-8)+ 963 +8)+ 32(-16)0 16x-8)-96(+8)+ 163-16) = 0 16x-8)-96y+8)- 327-16) = 0 Question 25 4 pts Examine the function f(x,y)=x) - 6xy + y + 3 for relative extrema and saddle points. saddle points: (0,0,3),(2,2,-5) relative minimum: (0, 0,...
please show all your work i am really trying to understand how to solve these Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = In(3x-2) at (1,0) Find the derivative of the function, y = - 3xIn(x+1) Show all of your work on paper dy I dx Find the largest open intervals on which the function is 1. Increasing 2. Decreasing 3. Concave upward 4. Concave downward 3. find the location...
Show all work please! 1. Find the directional derivative of f(x, y) = x'y at (1, -3) in the direction of - 2i + j. a. 13 13 b. 15 11 c. d. V5 - 11 None of these e.