2. Suppose ACB and A# Ø. Prove that (a) if B is bounded below, then so is A, and inf A ≥ inf B. (b) if B is bounded above, then so is A, and sup A ≤ sup B.

Q: A. Two golfing venues offer bays that customers con reserve to play various golf ing games. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If y=-3, what is the value of 4y^3 +2(y^2-4

A: Given query is to find the value of expression at y = -3

Q: don't understand why the -x disappears for the left side of the product rule procedure for the…

A: f(x) = xlnx -x Here the product rule applied on the term (x lnx) only. f'(x) = d/dx (xlnx) + d/dx…

Q: Evaluate (a)16^3/4 and (b) 125^2/5

A:

Q: What are the Combining Functions?

A: Combining functions:           Combining functions are simply known as the arithmetic operations (…

Q: 1 2 y 2 3 1+ |3/2

A:

Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: 1 1 x_ +y 3 1+ |3/2 || 3/2

A:

Q: How were algebraic structures discovered?

A: This transcend through history of some brilliant mathematical genius who could find pattern in…

Q: What is x^2+y?

A: Given expression.  x²+y

Q: The following dataset shows the result of a survey conducted by an NGO on people's monthly income.…

A: The given table is,

Q: The range of the function y = -3(x + 2) ^2 -12 is

A:

Q: Single term algebraic expression is called?

A: Single term algebraic expression is called monomial.

Q: plot y = x^2+ 2

A:

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: 7. Evaluate-} -3(1-y) for x=-3 and y=-4 An Show your work for #7 here:

A: We have the expression: Expression: -x2 - 3(x-y)  We need to evaluate this expression for x = -3 and…

Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: The product of positive numbers is always positive Is this true or false? Also provide a example for

A: We have to check

Q: Determine the points of inflection

A: According to power rule of differentiation .

Q: Simplify the expression using appropriate identities (2x-y)(2x+y)(4x^2+y^2)

A: Given expression, 2x-y2x+y4x2+y2

Q: √x((x^2)-2x). What is the derivate a

A: Here we find the first and second derivatives of given function.

Q: 4= -59-x2-16x +15 2(x-s)

A: Curve for x-intercept,by cross multiplyNow, we determine root of the quadratic equation..Use formula…

Q: Not exactly sure if X=0 is the inflection point or if x=0 and x=4 are the inflection points. If x=0…

A: We have to find point of inflection

Q: Please look at the question and please explain how you know if it's + or - infinity.

A:

Q: Comparative static analysis involves

A: Comparative static analysis:  It is the comparison of two different economic outcomes. That means…

Q: y%=x(x2 +x- 2) 3

A:

Q: How do you get the y-intercept out of y=4(x+2)^2+8

A: The equation is:y=4(x+2)2+8

Q: Xm fXm 61-65 5 66-70 7 71-75 8. 76-80 17 81-85 14 86-90 4 91-95 96-100 3 (EX)= (IrXm)= Мean Median…

A: Given information: Class interval F 61 to 65 5 66 to 70 7 71 to 75 8 76 to 80 17 81 to…

Q: What is the product of x^(3) and x^(5)?

A: Answer: 1) Given X3  and X5 ,  we have to find product :

Q: 3/4 (x - 5) = 2/3 (3x - 4)

A:

Q: I need help with absolute value

A: Let a∈ℝ be any real number. Then, absolute value of a, denoted by a is defined as a=a,a>0=0…