Put the functions below in the rate of growth.
1. 100·3x
2. x!/1000
3. x4 · log(x)
4. x5
5. 200log(x)
Order from low to high order of growth 200log(x) = O(log(x)) 100·3x = O(x) x4 · log(x) = O(x4 · log(x)) x5 = O(x5) x!/1000 = O(x!)


Put the functions below in the rate of growth. 1. 100·3x 2. x!/1000 3. x4 ·...
Order the following functions by asymptotic growth rate (from smallest (1) to largest (5)). 2logn 3∗n+100∗log(n) n^2 n∗log(n) 2^10
Problem 2. Find the closed formula for each of the following recurrence relations. 1. an = 1.lan-1, do = 1 2. a, = -n-1, 0o = 5 3. an = An-1-2, do = 4 Problem 3. Computer each of the sums below 1. Ei=30i, di = (-2) 2. 1-20, ai = 12 3. Sila, a; = i +5 (hint: this is an arithmetic sequence) Problem 4. Show that r? + 4x + 17 is 0(2) Problem 5. Put the functions...
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
Order the following functions by asymptotic growth rate. 2n log n + 2n, 210, 2 log n, 3n + 100 log n, 4n, 2n, n2 + 10n, n3, n log n2
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
Lidl US pietes une sidemem vers the question. Use common or natural logarithms to solve the exponential equation symbolically. 1 1) A) 1 In 27 + 2 3 In 3 B) = X = - In 3 In 27 + 18 In 3 C) X=- In 27 6 D) - In 27 3 In 3 - 2 Solve the logarithmic equation symbolically. 2) In x + In x4 = 5 A) x + x4 - 05 2) B) x =...
FIND THE DERIVATIVE OF THE
GIVEN FUNCTIONS!
2. f(x) Vx+3x-1 3. f(x)=x(x -x)
296 POLYNOMIAL FUNCTIONS 34. f(x) 4x3 -62-8+15 33. f(x) = r + 3x + 4x 12 35. f(r) r +7x2+9a 2 36. f(x) = 9r +2x +1 37 f(x) 4x4 - 4313r2- 12 3 38. f(x)2x4 -7x3 14r2-15 +6 39 f(r) x4 + x+7x 9x 18 40. f(x) 6x4 +17r3 -55r2 + 16+12 41. f(z) =-3r4 - 83-122- 12 5 42. f(x) 8a4+50343r2+2x-4 43. f(x) = x4 +9x2 +20 44. f(x) x4 +5a2-24 1 45. f(x) - r7x3-7x2 12x 12...
1 point) Match the functions below with their level surfaces at height 3 in the table at the right. 1. f(x,y,z) 22 3x 2.f(x,y,z) 2y +3x 3. f(x, y,z) 2y +3z -2 (You can drag the images to rotate them.) Enable Java to make this image Enable Java to make this image interactive] Enable Java to make this image Enable Java to make this image Enable Java to make this image Enable Java to make this image interactive]
1 point)...
Show that the two functions below are orthonormal. The “space”
is from zero to ∞.
We(x) = (300m) ** (4Q?x5 – 20ax’ + 15x)e -ax?l2 46(x) = (402)" (20x2 – 3x)e-ax?12 | 1/4 91