Use an example to show that: a)the sum of two even functions is again even b)the product of two odd functions is even c)the product of two even functions is even d)the quotient, when defined, of two odd functions is even.

Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: Show that the sum of two even functions is even and the sum of two odd functions is odd.

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Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

A: We have the domain is A=0,1 and the range is B=1 First we find the relations from A=0,1 to B=1: The…

Q: Numerically estimate accurate to 2 decimal places of lim x -> 0 ((2^x -1)/(x))

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Q: 10е 3" (1 — 5t) — 0

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Q: Find integers x and y so that gcd(3953, 1829)=3953x+1829y. x=2,y=5 x=-12,y=-13 x=-6, y=13 x=6,y=-13…

A: Solution:we have to find integers and so that first we find gcd of (3953,1829)here we see that…

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that [ry] : |x||y for…

A: The ceiling function gives smallest integer that is greater than the number, that is, x is the…

Q: .2 y = 4 - x² and x +y = 2.

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Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: On the set of real numbers x2 + y2 = 1 Function. If x is a real number and y is an integer number:…

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Q: 2 x -dx 6. Jo 1-x

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Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: What is an aglebric expression  that  shows that it will always work for any two numbers x and y?

A: An algebraic expression is an expression built up from integer constants, variables, and the…

Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Find the value of: 2 100 ;] [*] + x + 100 ] + [~ + + ++ 99 100

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Q: Show that a|- 16|| < la – b|.

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Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: -2 3. 1-2 - 3 L-3 -3 -2 = [0] 2. 2. 3

A: x  2  13-2-3-2-3-2-3-82x-13=[0]x213x-7-2x-3-3x+14=[0]3x2-7x-4x-6-3x+14=0

Q: Let A = {1, 2} and B = {-1,0, 1}. Answer the following questions using careful, accurate notation…

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Q: Suppose that o f(x) dx = 3. Find , f(x) dx if, %3D

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)