using the equation p(x) = ln(√x^3-1), find rate of change for 10 items
using the equation p(x) = ln(√x^3-1), find rate of change for 10 items
(1 point) Find the maximum rate of change of f(x,y) = ln(x2 + y²) at the point (-2,-5) and the direction in which it occurs. Maximum rate of change: Direction (unit vector) in which it occurs:
Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=150 - 55 ln(p) E(p) = ?
(10 pts) 4/ Let f(x,y)= xet-3 and P = (1,1). a) Find the rate of change of fin the direction of Vf. Interpret the rate. b) Find the rate of change of fin the direction of a vector making an angle of 90 counterclockwise with Vfp
To find
the instantaneous rate of change at x=3
Using the definition f(x +Ax) - f(x) Slope T - lim Ar-0 To find the instantaneous rate of change at x 3
Find the demand equation using the given information. (Let x be the number of items.) A company finds that at a price of $150 each it can sell 60 items. If the price is raised $10, then 20 fewer items are sold. D(x) =
Let h(x) = ln(x^2 + 1) be a function defined on (−∞,∞). Find the equation of the tangent line to the curve of h(x) at x = 1. Use the exact values only
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
The Legendre equation of order p is, a) Find the associated Euler equation and the characteristic equation for x = 1. b) Find the first three nonzero terms in one of the power series solution in powers of r -1 for x-10 Hint: Write 1 + x 2 + (2-1) and x = 1 + (x-1). Alternatively, make the change of variable x- 1-t and determine the series solution in powers of t.
The Legendre equation of order p is,...
3) Suppose that w = f(x, y, z) = ln(x y2z3). a) (20 pts.) Find the unit vector in the direction of most rapid increase in w at the point (x,y,z) = (1,-2,-3) b) (15 pts.) Find the rate of change in w in this direction at (1,-2,-3).
Question 8 Let f(x, y) = ln(x + 2y). What is the maximum rate of change of fat P(1,0)? Formulas: The maximum rate of change of f at P(20, yo) is | Vf(x0,yo) = V(fx (30, yo))2 + (fy(20, yo))? The gradient of fis f(x,y) = (fa(z,y), fy (z,y)) and substitute * = 0, y = yo into V f(a,y) to get f(go,yo) of f at the point P(0.yo)