Write a C++ program to calculates 1/(1 ×2^3) + 1/(2^2×3^3) + 1/(3^2×4^3) + ... + 1/(98^2×99^3) + 1/(99^2×100^3)
Let A = (-1 -1 2 3 1 ) 1 Let B= 2 3 3 2 -1 0 1 2 Find AB O 2 1 3 2 3 1 9 10 10 6 -40 O 1 4 1 2 -1 3 Can not multiply
3. (1 2 Let A= 12 3 3 1 (1 2 and Bu (3 2 3 1 a. Find A+B b. Find A B
1) 2) 4 3 2+ 1 -5 14 -3 -2 -1 2 3 -1 -2 -3 -4 -5+ The graph above and below) is the DERIVATIVE graph of a function f f is defined on the domain (-5,5) A. On what interval(s) is the function f increasing? use ( , ) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use ( , ) and U to combine more than one interval...
7. (a) Are the vectors (1,-1, 2, 1), (-1,-3, 3, 2), (2, 2, -1,-1), (3, 1, 1, 2) linearly independent? (b) Do the above vectors form a basis for R? (c) Can you write the vector v = (0,-4, 5, 2) as a linear combination of the above vectors? (15 points)
Severity [1] 3 1 3 2 3 0 0 0 3 3 2 3 3 1 1 1 2 0 3 3 0 1 2 0 1 3 0 3 0 3 0 3 1 2 2 4 2 [38] 3 1 1 3 3 3 3 2 1 3 3 0 1 2 3 0 3 3 3 0 0 1 3 1 0 3 3 0 1 0 3 1 0 1 3 3 0 [75] 3 3...
5 3 2 1 -5 -4 -3 -2 -1 -1 1 2 3 4 5 -2 - 3 -4 -5+ 69 Domain: Range:
2 1 -2 3 0 1 4 2 1. Let B -3 0 3 ( 1) 2 2 -1 0 (a) Find det(B).(Show all work.) -3 -R2- .A 4 O0-2/2 1-3 0 3 入ス-1 0 I-2 3 det ao -1 O 3 1-3 RyR-( 2 2-10 420 4 (b) Find det(BT). (c) Find det(B-1). (d) Find det(-B) . (e) Is 0 an eigenvalue of B? (f) Are thè columns of B linearly independent?
(1 point) Let A = 2 2 | -4 1-2 6 -3 -3 3 3 -3 0 3 4 7 1 -5 -1 Find a basis of nullspace(A). Answer: [1,0,3/2,0], [0,-3/9,0,1] To enter a basis into WeBWork, place the entries of each vector inside of brackets, and enter a list of these vectors, separated by commas. For instance, if your basis is 12, 1 }, then you would enter [1,2,3],[1,1,1) into the answer blank. U 3 ||1
3+ 2 1 -5 -4 -3 -2 -1 2 3 4 -2 -3 + The above is the graph of the derivative f '(x). How many critical points does the original function f(x) have?