For all suitable real numbers x, define f(x) = [Hint: Complete the square!] (a) (b) (c) (d) 1 √x² - 4x + 5* Find the domain of f. Give an example to show that ƒ is not an injection. Describe the range of f. Justify your answer in (d).

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: 1 y Let A = [1 1 2 0. and %3D -1 2 B = -1 0 Find 1 3 W AB

A:

Q: E. Let A = [-2,2] and B = {(-1/n, 1/n) neN}. Determine the following: %3D 1. UA\B 2. U ANB BEB BEB

A:

Q: Let A = {c, d, f, g} B = {f, j} C= { d, g} True or False: C C A? True False

A:

Q: 2. Which of the following operations is associative on Z? A. a*b = a b C. a*b = a B. a*b = max (a,…

A: Note: As per Bartleby guidelines if a question have more than 3 subparts and specific part is not…

Q: Given the U = {21,22,23,24,25,26,27,28,29,30} and A = {23,24,25,26,27} B = {21,25,27,29} C =…

A: We have to find the solution for given problem.

Q: 1 dv 5 3 v 2 –8v² +24v 2 –32v+16v 2

A: solution:-∫1v52-8v2-24v32-32v+16v12 dvlet v=t2dv=2t dt=∫2tt5-8t4-24t3-32t2+16t…

Q: need

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: 1) Let A = {1,2,3,4,5} Determine whether the statements are true or false. a. 2ЄA b. A is a subset…

A: A = {1, 2, 3, 4, 5}a. 2  A   This means 2 is in the set A.    Obviously this is True. b. A is a…

Q: Prove: If (where b + 0 and d + 0), then C + d d a + b

A: Consider the given information, If ab=cd then show that a+bb=c+dd. First we consider ab=cd.

Q: The image shows a set of hypothetical materials (A-D) on a trade-off chart of mass against cost.…

A:

Q: If a+b c +d 4 [c- d с —d а — Ь 10 2 | find a, b, c, and d. If

A: Concept used: If two matrix are equal then their order and corresponding element are identical.…

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: 5. 10 cars are to be parked in an open field containing 20 parking spaces set out in two rows of 10.…

A: How many different patterns of unoccupied spaces are available if :-

Q: (An B) n(AUC) U 4 2 5 7 6 B 3 8

A:

Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: 8A. Determine whather the fallwrng series converges com fi fimally w tiverge or Con (-1)" _ . an+7

A: Determine the following series converges absolutely or conditionally or diverge.

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False.

A: Use the basic properties of intersection and cartesian product to prove the given relation.

Q: Prove. all sets A,B and C, (a) (A-B)- C = CA-C)-B disprove each of the following for or

A: We Know that A - B means elements of A which are not the elements of B. i.e.      A - B = {x : x ∈ A…

Q: An enent ansistina choose not is A IS callel

A: complement of A is denoted by A'.

Q: In r dr r2 Evaluate

A: The given integral is: I=∫ln xx2 dx

Q: B AUBNC: Au BNC: 12 6 6 17 13 U How many elements are contained in each of the following sets?

A: From the above venn-diagram, we have  U={6,10,11,12,13,17}. A={6,10,12,17}. B={6,12,17}.…

Q: -1 1 Let A= 1 -2 Then, |A|l2= ) Select one: a. 8+45 b. 10+45 C. 9+45 7+/45 2.

A: We can solve for the given matrix using the formula for second norm of a matrix

Q: Let B : and i Then (7)8

A: