simpfly. all postive exponets and assume all numbers are postive, real numbers.  (z^3 x)^1/6 over z^1/-2 x^1/3

Q: (4) Use standard multiplication to multiply the two sexigesimal numbers 11, 4; 17, 9 and 50, 50: 43,…

A:

Q: We exclude from a function’s domain real numbers that result in a square root of a/an________…

A:

Q: Show that R2 =

A: Then, V =Span(S), if every vector in V can be written as a linear combination of elements of S.

Q: How many bijective functions have [10] as both the domain and codomain?

A: Consider the provided question, We need to find How many bijective functions have [10] as both the…

Q: Express x^8-x over 2[x] and over F2[x] as a product of irreducible

A:

Q: The summation of a constant is equal to the product of the cardinal of the index set and the…

A:

Q: Rationalize the denomi 20 5/10 - 7/5

A: 20510-75

Q: 9. For |x|<1, prove that 8x 16x 24x 1-x1+x 1-x 2 8x 8x = 1+ (1 – x)? (1+x2 (1-x)? ...

A:

Q: determine the union of XuY  express in interval notation X = {x | x > 14} and Y = {x | x ≤ 11}

A:

Q: 11. CheCK TUr exLi aneU SulutioIs. 35 1+== x2

A: Given rational equation is  1+(2/x)=(35/x^2)

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(-2) = 3.

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(0) = 0

A: Given: f(0)=0

Q: Use binomial theorem to find the constant term (x-1/x)*8

A:

Q: 3.2÷.8=

A: In math, long division is a method used for dividing large numbers into groups or parts. It breaks…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: We have given expression 3x2-y310 Then, fourth term of the expression…

Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: Prove that given any set of eight integers, there is a pair among them whose sum or difference is…

A: Let n1,n2,n3,n4,n5,n6,n7,n8 be the 8 integers. Let ni≡rimod12 where 0≤ri&lt;12 Suppose, no two of…

Q: 12. Explain what is important about monotonic and boundedsequences.

A: Monotonic SequenceA sequence is said to be monotonic,if it is either monotonically increasing or…

Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

A:

Q: Find x+1/x if x-1/x=sqrt(x)+ 1/sqrt(x) for x>1, x in R.

A: Find x+1x if x-1x=x+1x , x&gt;1 , x∈R

Q: The 11th termof an A.P. exceeds than 10h term by 7 find the commondifference.

A:

Q: . Show that there exists a real number 0 <x< 2 so that x' + 8x² – 10 = 0 -

A:

Q: why discontinuous  if lhl and rhl are same zero

A:

Q: We exclude from a function's domain real numbers that result in a square root of a/an number.

A: Given: We exclude from a function's domain real numbers that results in a square root of a/an _____…

Q: is an even integer then n square is .A Negative

A: Suppose n=m is an even integer.Since n=m , then n2=m2

Q: Let æ be a real number. Show that [3x] = [@] +

A: Floor function: For any real number x, the floor function ⌊x⌋ is denotes the greatest integer which…

Q: A hot air balloon descends at a rate of 4ft per minute for 6 minutes, then rises at a rate of 2ft…

A: Given Data: The descending rate of the balloon is: D'=-4 ft per minute The time till the balloon…

Q: How many injective functions have domain [10], codomain [10] and are not surjective?

A: Ans : 0 (zero)

Q: The principle of Analytic continuation:

A:

Q: 5. Show that Ax) = Inx² - 1- In/3, if f'(x)= and (2) = 0. x- 1 Justify your answer.

A: To show that f(x)=ln|x²-1|-ln√3

Q: Use quantifiers to express the associative law for mul- niplication of real numbers

A: The associative law for multiplication of real numbers using the quantifiers is

Q: (5) Rationalize the numerator of 5+x-V2 x+3

A:

Q: Find the term of (x + +)° that does not contain x.

A: Given expression is, x+1x6. The general term is given by, Cknakbn-k. In the given expression,…

Q: if two even integers are multiflied, then the product is also even

A: Ans. True

Q: A³ f2 = V³ fs 3

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

Q: Express the interval using two different representations. -12 -10 -8 -6 -4 -2 2 4 6. 10 12 [ ] [, )…

A: Here we will find Interval Notation and Inequality Notation,

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: Maximum volume will occur when the box is a cube with side length l.  Thus, 3l=84.  Calculate l:…

Q: How many injective functions have domain [3], codomain [101], and are not surjective?

A: Find the number of injective functions from the domain 3 to the co-domain 101 which is not…

Q: The function fin) = 8n-2 is big-O(n). True False

A: Consider the given function.

Q: show that () is an even number.

A:

Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: Show that lGl =20 , so G is not simple

A:

Q: 4. ( it as linear combination of both numbers. Find the greatest common divisor of the numbers 1520…

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Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…

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Q: Use syntheti division t deknnime k= -i in a zero of explaiin. fex)=x*+2x²+3X +2 the functui and

A:

Q: (5 × 104)(8 × 105) 4 × 106   (10 × 10−5)(9 × 106) 5 × 109

A: We have to calculate the values in scientific form of And

Q: find the positive intervals for  x2 − 3x

A: We need to find the interval for which function is positive .

Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: