7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
7. (a) (1 point) Define the linearization L(x) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (c) (4 points) determine the linearization L(x) of the function f(x) = Ýr at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
7. (a) (1 point) Define the linearization L(c) of a function f at a point a; (b) (1 point) draw a picture which gives a geometrical intepretation of the linearization; (©) (4 points) determine the linearization (1) of the function f(x) = fx at a = 27; (d) (4 points) use (c) to approximate the value 726.5 (express your answer as a rational number (a quotient); do not try to "simplify" it);
1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider the function f(x) 3r-4 1-1, <2 x22 (2) (0) (1)
Define R as the region that is bounded by the graph of the function f(X)=x^3/6+2, the xaxis, x=-1, and x=1. QUESTION 9 · 1 POINT 23 Define R as the region that is bounded by the graph of the function f(2) +2, the x-axis, x = -1, and x = 1. Use 6 the disk method to find the volume of the solid of revolution when R is rotated around the z-axis. Submit an exact answer in terms of ....
(1 point) Estimate f(-3.01,-1.97) given that f(-3,-2) = 5, fx(-3,-2) = -2 and fy(-3, -2) = 3. f(-3.01,-1.97) ~ (1 point) Find the linearization of the function z = x,y at the point (-5, 49). L(x, y) = (1 point) Find the equation of the tangent plane to z = ex + y + y4 + 6 at the point (0,3,91). z =
5. Define the function 22 f(x) = 22 +1 For each annulus region given below, find the Laurent series of f(z) convergent in the region. (a) (5 points) 0 < 12 – iſ < 2 (b) (5 points) 1 < 1z).
Please detail all your answers 2. Consider the function f : {1, 2, 3, 4, 5} → {1, 2, 3, 4} given by the table below: (15 points) x 1 2 3 4 5 f (x) 3 2 4 1 2 (a) Is f injective? Explain. (b) Is f surjective? Explain. (c) Write the function using two-line notation. 5. In the game of Hearts, four players are each dealt 13 cards from a deck of 52. Is this a function?...
Given that f(x) = Vx+ 3 – 5 -, define the function f(x) at 22 so that it becomes continuous at 22. X – 22 a) Of(22) = 10 b) O Not possible because there is an infinite discontinuity at the given point. c) Of(22) = 0 1 d) Of(22) = 10 e) Of(22) = 3
2 12, (a) Find the function f that satisfies the given initial condition. (5 points) f' (x) = x3/2 +-5/2 f(1)-4 : [5 points) 2 12, (a) Find the function f that satisfies the given initial condition. (5 points) f' (x) = x3/2 +-5/2 f(1)-4 : [5 points)