Show that the condition A = B is not a necessary one for P(A) ∪ P(B) = P(A ∪ B) by finding examples of sets A and B such that P(A) ∪ P(B) = P(A ∪ B) but A does not equal B.
Show that the condition A = B is not a necessary one for P(A) ∪ P(B)...
Show that a necessary and sufficient condition for the set of quantities pi...k (with P suffixes) to form a covariant tensor of rank P is that pij...ka'b'...ck should be invariant for every set of P contravariant vectors a, bV ,... , ck Show that a necessary and sufficient condition for the set of quantities pi...k (with P suffixes) to form a covariant tensor of rank P is that pij...ka'b'...ck should be invariant for every set of P contravariant vectors a,...
MATLAB Determine an Ax = b problem to show that the condition number is very critical in finding the unknown vector x with minimum error. Use MATLAB in this problem. You may come up with such an A matrix that would show the effect of condition number in solving Ax=b problem. Compare different approaches we mentioned in solving Ax=b problem. Comment on the solutions, errors and condition numbers.
10-11 10.In addition to force, one other necessary condition for work to be done is: A. weight B. motion in the direction of the force C. acceleration D. friction 11.A constant force does maximum negative work on an object when the angle between the force and the displacement is: A. 0° B. 45° C. 90° D. 180°
a. Using the marginal condition in Equation (P -MC)( dQ/ dA) = 1 , show that an equivalent condition for the optimal level of advertising is (P - MC)Q/A = 1/EA, where EA = (∂Q/Q)/(∂A/A) is the elasticity of demand with respect to advertising. In words, the ratio of advertising spending to operating profit should equal EA. Other things being equal, the greater this elasticity, the greater the spending on advertising. b. Use the markup rule, (P - MC)/P =...
If A is a set, then suppose that f is a one-to-one function from A to P(A), the power set of A and let B-{a є A l a ¢ f( three different functions from A to P(A) and construct the set B: a)j. For the following sets, give examples of at least (b) A= {1.2.3 } If A is a set, then suppose that f is a one-to-one function from A to P(A), the power set of A and...
is that 122: The condition necessary for the conservation of momentum in a given system eneris conserved One oddy is a rest the ner external fonde is zero d e al forces equal external forces e more of these IR Three masses, 10 ks 20 kg and 3.0 kg, are located at (0,0), (1.0 m, 1.0m), and (2.0 m 20m) respectively. What is the location of the center of mass of the system? (x,y) show work below 5 pts a....
kindly show workings. thanks 2. Are the hypotheses of the Mean Value Theorem necessary for the conclusion to occur? If either condition is not necessary, provide an example. 3. Create a function such that L'Hôpital 's rule applies to your function. Also, create a function such that L'Hôpital's rule does not apply to your function (although it might appear to apply) Be prepared to discuss the reason that your examples satisfy this criteria. 4. We will discuss an optimization problem...
Exercise 2. The Principle of Inclusion-Exclusion Show that P(A∪B) = P(A) + P(B)−P(A∩B) (1.4) By writing A∪B∪C as (A∪B)∪C, extend the result to three sets: P(A∪B∪C) = P(A)+P(B)+P(C)−P(A∩B)−P(A∩C)−P(B∩C)+P(A∩B∩C)
Find the necessary and suppicient condition for aº - blog(a) for any complex numbers a,b.
The event is said to be repelled by the event B if P(AB) . P (A), and to be attracted by B if P(AIB) > P(A). Show that (a) if B attracts A, then A attracts B, and Bc repels A (Hint: use the definition of conditional probability) (b) If A attracts B, and B attracts C, does A attract C? (Hint: consider when A and C are disjoint sets).