Determine the values of a M and N , so that the polynomial 2x^3+mx^2+nx-3 and X^3-3mx^2+2nx+4 are both divisible by x-2
question starts with P(x) = -2x^3(x-1)(2x^2+1). I was then supposed to express the polynomial in general form and got -4x^6 + 4x^5 - 2x^4 + 2x^3. Then asked to determine the left and right end behavior which I did. What I'm suck on is the final part which is "Find the x-intercepts, if any.". I know im supposed to set y to zero, but I cant figure this one out. I cant find out how to factor it, im stuck....
3. Find m for which the following lines do not form a triangle. x+2y 5D, 2x-3y-4 .2, mx+y 0 [Sol] Since line 3 passes through the origin, lines D, 2 and 3will not form a triangle in the following three cases: wor When D and 3 are (i) parallel. doa When 2 and 3 are (ii) parallel. When D, and 3 all intersect at one point. (ii Therefore, from ( i ), (ii) and (iii), m 4. Find a for...
Question 2 6 pts Let T2(x) be the Taylor polynomial for f(x) = 2x + 2 centered at c = 1. Fill in the blanks in the paragraph below. Use exact values. The Error Notice that 4.2 = f(1.1) T2(1.1) = Bound says that the maximum possible value of the error is Tonal x-c"+1 1V 4.2 -T2(1.1) < (n + 1)! where K = and 2 - 1+1 (n+1)! Question 3 4 pts Fill in the blank. Use exact values...
Find the smallest n so that f(x)=7x^3+5x^2 (logx )^3+2x+14 is O(x^n)
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error formula to a value of n so that |Mn (2) e10-4. You will likely want to use a calculator to determine the value of n. You might want to use the fact that e2 < 8 when working with the error formula. 5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error...
Consider the following function. r(x)-In(1 + 2x), a=4, n= 3, 3.8 4.2 x (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to estimate the accuracy of the approximation (x) T(x) when x lies in the given interval. (Round your answer to six decimal places.) (c) Check your result in part (b) by graphing Rn(x)l 2. x 10-6 3.9 4.1 4.2 1.5 x10-6 -5. x 10-7 1. x 10-6 -1. x10-6...
QUESTION 2 a. Factorize completely 16x4 y²m-32 mx²b (1 mark) b. Using a scale 2 cm to represent 1 unit on the x axis and 1 cm to represent 1 unit on the axis, draw the graph of the function f(x)=x2-2x-3 for the domain-2<x54 marks) (6 c. From the graph above determine 1. II. The coordinates of the maximum or minimum point The roots of f(x)=x² – 2x-3 (3 marks) By explanation or otherwise on the graph how do you...
suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2)find values of derivatives at x = 2(d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that want the d/dx given ex: y=2x+1 so I was confused for this The answer is 2 but how do I set this up?
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...