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please help me with it 1) Given: $(5)=0 f'(x)=8x +1 p = {5,7,113 i. Draw the...
1. For the function f(x) e1+3x and the point P given by x 5 answer the following questions: For the points Q given by the following values of x, compute the slope of the secant line through the points P and Q accurate to at least 8 decimal places. ii.51 l.501 iv. .5001 v. .50001 a. i. 1 vi. 0 vii. .49 vii. .499 ix. .4999 x. .49999 Use the information in part a to estimate the slope of the...
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NUMBER 3 (Parts A-F)
Consider the following list of properties 3. f(x)oo x-+1 ii) lim()2 iv) f(1)-3 v) lim f(x)-n x+1 For each of the following, decide if it is possible for a function to have the given set of properties. If so, sketch and label a possible graph for the function on the axis provided. If no such function is possible, explain why not. a) (i) and (i) b) (), (ii), and (iv) c) (i), (iii),...
got the first one but the last 4 are giving me trouble.
i) Calculate the first four Taylor polynomials Po(r), P(), P2(), P3(1) ii) Sketch the function together with the first four Taylor polynomials Po(x), P (r), P(x), P3(1) around the basis point iii) Find the general form of the n-th Taylor polynomials P,(x) and write down the Taylor series for the function about the basis point a iv) Calculate the interval of convergence of the Taylor series (calculate first...
please help me on 12
106 Java Concepts Advanced Placement CS Study Guide 3 12. Consider the following code segment. int count = 0; for (int x = 0; x< 3; x++) for (int y = x; y < 3; y++) for (int z - y: z < 3; 2++) count++; What is the value of count after the code segment is executed? a 81 b. 27 JOHNNNN mshe thote c. 10x d. 9 e, 6 13. Each segment of...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
5. Let f R2 ->R2 be the function given by f(x, y) (х + у, х — у). (i) Prove that f is linear as a function from R2 to R2. (ii) Calculatee the matrix of f. (iii) Prove that f is a one-to-one function whose range is R2. Deduce that f has an inverse function and calculate it. (iv) If C is the square in R2 given by C = [0,1] x [0, 1], find the set f(C), illustrating...
Linear Algebra Question: Least Squares
{(0, b), (1, b2),, , . (k, bk)) İs a set of k points in R2. Show that in the horizontal line 5. Suppose P of best fit f(x) A, A is the average of the numbers b1,. b
{(0, b), (1, b2),, , . (k, bk)) İs a set of k points in R2. Show that in the horizontal line 5. Suppose P of best fit f(x) A, A is the average of the...
Homework 19. Due April 5. Consider the polynomial p(z) = r3 + 21+1. Let F denote the field Q modulo p(x) and Fs denote the field Zs[r] modulo p(x). (i) Prove that p(x) is irreducible over Q and also irreducible over Zs, so that in fact, F and Fs are fields (ii) Calculate 1+2r2-2r + in HF. (iii) Find the multiplicative inverse of 1 +2r2 in F. (iv) Repeat (ii) and (iii) for Fs. (v) How many elements are in...
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1, 2). Find the gradient of f at the point P and draw the gradient vector on the level curve (ii) Draw the graph of f showing the level curve in (i) on the graph (iii) Explain why the function f admits a global minimum over the rectangle 0 x 2, y 1. Determine the minimum value and...