5 [In this question i and jare horizontal unit vectors due east and due north respectively] A particle of mass 1.75 kg is at rest when it is acted on by three forces, F₁, F₂ and F3, where F₁ = (7i - 2j) N, F₂ = (mi+j) N and F3 = (3i+2mj) N and m is a constant. The particle begins to move on a bearing of 135º. (a) Find the value of m. (b) Show that the magnitude of the acceleration of the particle is 4√2 ms².

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A: Given: The equation x∘y=x2+y2 in the N natural numbers set

Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

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A:

Q: I cant read that, hense the new submittal of the question.

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A: Given: 2(3t)(2*3)twhen:(i)  t=1(ii)  t=2(iii)  t=0.5(iv)  t=−1

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A: If we have two sets A, B such that  the cardinality of A =m and, the cardinality of B =n then, the…

Q: Prove: If a|b and b|c, then a|c. Hint: Use the definition of divisibility.

A: Prove: If a|b and b|c, then a|c.

Q: (d) D= {n €Z:n −3} (e) E = {}\{}

A: Here we have to find the set D and E in list form.

Q: prove the following statement. let a,b, and c  be three counting numbers. then, gcd(ac,bc)=c…

A: To prove the statement gcd(ac,bc)=c gcd(a,b), use the following two properties of the greatest…

Q: Does 2|0? O Yes, because 0 = 0· 0. O Yes, because 2 = 0 · 0. O Yes, because 0 = 2 · 0. O No, because…

A: We have to check

Q: |U( Z O ZO Z)| is: 8 16 4

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Example A o B are ndep, How about their subsets.

A: Two events are independent if the occurrence of one does not effect the probability of other.…

Q: Evaluate xdx -1x+1 O 1) 16 O 2) 1 O 3) O O 4) 4

A: Option 3 is correct See the calculation and answer below

Q: (a) Let S {2 ringleton is open set in (M, d). oce and let ACM. Prove that aA = O if and only if A is…

A: The problem is from Topology.

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A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

Q: Prove or disprove: For all sets A, B, we must have 24A2(AAB) = 2B.

A: Given, 2A∆2A∆B

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A:

Q: Evaluate. (a) (– 6)2 (b) -6

A:

Q: Suppose P(E) = 0.74, P(F) = 0.4, and P(E´∩F) = 0.49. Find P(E´∪F). Note the complement symbols.…

A:

Q: {5}⊂{1, 3, 5, 7, 9,...} true or false

A:

Q: For the following system to be consistent, 7x15x21x3 = - 9x1 + 1x2 + kx3 = 6x17x25x3 = -8 Submit…

A:

Q: Minimize the following Boolean expression: - e) POR + POR+ P Q R+PQR+P Q R+PQR

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Q: Sn : n(n + 1)(2n + 1) :2 %3D 6. i= a) Statement S6: b) Statement S5 : || +

A:

Q: For all sets D, E and F, if D- FCE-F then DUF CEUF.

A:

Q: Disprove: For all sets A, B, C, and D, (AUC) × (BUD) C (A × B) U (C × D).

A:

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A: We will find out the required truth value.

Q: wing A= {2,5,6}, B = {1,2,3,7), C= {x|x € [?][?][?], x>0, x <10}, D={10,11} Write out AnB a.

A: Since set C is not clear, so I will solve only part a. Solution a: Given A=2,5,6, B=1,2,3,7

Q: Write out the following set by listing its elements between set brackets.( {r, s}^2 × {a} ) × {c, d}

A: The given equation to be solved is:

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: If  n(A) = 69, n(B) = 23, and n(A ∩ B) = 3, find n(A ∪ B).

A:

Q: ition 1.3 3 4 う 3. 2 2. 2.

A: Use the table to evaluate each expression. a) f(g(1)) b) g(f(1)) c) f(f(1)) d) g(g(1)) e) (g • f)(3)…

Q: a.) Get an expression for an b.) Evaluate S50 c.) Find n such that Sn = -950 -2, -5, -8, -11,.

A:

Q: ..., 2, ), ), ),), 486, ... )._), 486, . О 4,8, 16, 32 о 6, 18, 54, 162 о -10, -50, -250, -1250 о 8,…

A: