PLEASE FIND THE DERIVATIVE FOR
y= 1./sqrt(f) + 2.0*log10((rough/d)/3.7 + 2.51./(Re.*sqrt(f)));
PLEASE FIND THE DERIVATIVE FOR y= 1./sqrt(f) + 2.0*log10((rough/d)/3.7 + 2.51./(Re.*sqrt(f)));
(1 point) The derivative of f(x,y) at (6,5) in the direction 1/sqrt(53) <−7,−2> is 8 and the derivative of f(x,y) at (6,5) in the direction 1/sqrt(17)<−4,1> is −5. What is the derivative of f(x,y) at the point (6,5) in the direction 1/sqrt(89)<8,−5>? Please show all steps.
2. The Colebrook equation for the Darcy friction factor, f, is written as: ./1/f + 0.86 In(y +2.51 3.7 NRevf For a Reynolds number (NRe) of 10% and a roughness factor, E/D, of 10, a) Show that there exists a root in the interval 0.001 0.1]. (1 mark) b) Find the number of iterations of the bisection method required to get a true absolute error of 10. (3 marks) c) Show two full iterations of the bisection method for this...
1. find the derivative of f(×,y)=-4yx^3+xy^2 at P(1,1) in forward direction set by the line r(t)=(1+sqrt(2)t+sqrt(2)t 2. find an equation for the tangent plain at point P x^3+y^3=3xyz P(2,1,3/2)
using matlab code to solve the Colebrook Equation: 1/sqrtf= −2.0 ??? ((?/?)/3.7)+2.51/??√?) The following situation should be considered: 3. Given Q, L, hf, ρ, µ, and ?, compute the diameter d of the pipe (sizing problem). 4. Given Q, d, hf, ρ, µ, and ?, compute the pipe length L.
From first principles find the derivative of sqrt(1+x) ? Thanks !!
1) Find the directional derivative of the function at the given point and in the direction of the vector u as shown when f(x,y)= sen(2x+3y); (-6,4); u=(1/2)(sqrt(3)),-1) POSSIBLE ANSWERS A) sqrt(3)-(3/2) B) (3/2)+sqrt(3) C) (3/2)-sqrt(3) D) -(3/2)-sqrt(3) 2) Find the direction in which the function is growing or decreasing more rapidly at the point shown: f(x,y)=x(e^y)-lnx; (4,0) POSSIBLE ANSWERS: A) u=(3/(sqrt(265)) , 16/(sqrt(265))) B)u=(3/(sqrt(265)) , -16/(sqrt(265))) C)u=(16/(sqrt(265)) , 3/(sqrt(265))) D)u=(-3/(sqrt(265)) , 16/(sqrt(265)))
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.
Solve the equations, find the value of x and y ..........(1) ...........(2) 0 0.015 19.62 (4.x10-5)/0.015 2.51 =-21 og 3.7 y(0.015) 0 0.015 19.62 (4.x10-5)/0.015 2.51 =-21 og 3.7 y(0.015)
Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the... Find the work done by force F=3(sqrt)z i−3x j+(sqrt)y k, from (0,0,0) to (1,1,1) over each of the following paths. C1 =ti +tj +tk, C2 =ti + t2j + t4k, and C3∪C4 c1=7/6 c2=-1/5 what is c3uc4?
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...