Let f be the function from {a, b, c, d} to {1, 2, 3, 4} with f(a) = 4, f(b) = 2, f(c) = 1, and f(d) = 3. Is f a bijection?

Q: f= (2xy+ 3x²)ē+ (x² – 2yz + 2y)ē, – (e² + y²)ēz

A: Given

Q: Consider a function with three variables a, b, c s.t f(a,b, c) = 2abc – a²b +c²b³c Find fa (a, b,…

A:

Q: What's the imaginary part of z-2z, if z = a+ib ? %3D a. others O b. 3ab-b³+2b O c. ab-b3-26 d.…

A:

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B.…

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

A:

Q: Let f {(0,-3),(9,4),(-6,9)} and h={(-6,4),(-3,9)}. Find fo h. foh= (Use a comma to separate ordered…

A: The given functions  and .The objective is to find the composition function .

Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

A:

Q: When F(x, y, z) = , evaluate - F( - 4, 4, – 2)

A: Given statement is When F(x, y, z) = < x², z+x,y> evaluate F(-4,4,-2)

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

A:

Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f

Q: Given that A = {1, 2, 3, 4, 5} and B = {x, y, z}, determine which of the sets of ordered pairs…

A: 1.  i) This ordered pair doesn't represents a function because the values 'y' corresponding to x= 4…

Q: 1a) Let A = {1, 6, 12}, B = {0, 2, 12}. The following are all relations from A to B, but which are…

A:

Q: Given x = {5,10,15,20,25,30} and y function from X to Y. Let f(5) = 400, f(10) = 100, f(15) = 500, f…

A: x=5, 10, 15, 20, 25, 30  &  y=100, 200, 300, 400, 500, 600. f5=400,  f10=100,  f15=500,…

Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Determine whether the function f from {a, b, c, d} to {1, 2, 3, 4, 5} with f (a) = 4, f (b) = 5, f…

A:

Q: Which of the following relations does not represent a function? {(1, 2), (2, 2), (3, 2)} В. ((1, 1),…

A:

Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

Q: Write out all functions f:{1,2}→{a,b,c} (in two-line notation

A:

Q: = Let p¹²-2x+1, p² = 3 +3x+1 and p35x + 10. Let = x³-3x + 4. Is q in me span of pl,p2 and p3?

A:

Q: Which of the following relation is a function? a) Z={(1,4), (2,3), (3,2). (2,4), (1,4), (1,5 )} b)…

A:

Q: 3. Let A = {(7,9), (8, 11), (11, 4), (4, 3), (1, 11), (13, 5), (17, 11)}. %3D a) Is A a function? b)…

A: We can answer all the subparts as below

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.