Let a, b and c be positive numbers such that a ^ 2 + b ^ 2 = c ^ 2 Show that a + b> c.

Q: Find the domain of the function. f(x) = /17-x O xIx 17), or (-*, 17) U (17, ») O xx 17}, or (17, ) O…

A: We have to find the domain of the function: fx=17-x We know for any square root function y=fx it…

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

A:

Q: rivial of

A: To find the non trivial of Z8 as,

Q: How many functions map {1, 2, 3, 4, 5, 6, 7, 8} onto {1, 2, 3, 4, 5} (i.e., how many surjections are…

A:

Q: Two distinct numbers are selected from the set (1,2,3,4,...,36,37) so that the sum of the remaining…

A: Given two distinct numbers are selected from the set 1,2,3,4,…,36,37 and The sum of remaining 35…

Q: Find the exact location of all the relative and absolute exctrema of the ftunctio to largest x.)…

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Q: Calculate: (compute to two decimal places) a. Prostate cancer prevalence (per 100,000 population)…

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Q: Why are special methods, such as l’Hôpital’s Rule, needed to evaluate indeterminate forms (as…

A: l’Hôpital’s Rule are needed to evaluate indeterminate forms

Q: Questims Classify following partial dlifferential equatim and redule the to its canonical form

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Q: A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is…

A: 1] Probability of success on a single trial=0.75 2] Numer of trials=92

Q: What would be an example of a function that is not integrable on [2, 10] and why is it not…

A: Consider a function: y=1x-2……1

Q: Plear schre the intguat scre the integroad 5-5x12

A: We have to solve the given integral. We will make use of substitution method to solve this integral.

Q: One of the laws governing the conservation of energy within electrical circuits stating that the sum…

A: According to Kirchhoff's current law Total current entering a node is equal to the charge leaving…

Q: Show that - In(x – V - 1) = In(x + Vr – 1)

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Q: PROVE THESE PROCESS PLEASE!!

A: First, we will open the brackets and then simplify the…

Q: Evaluate using cauchy's Residue Evaliate theorem.

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Q: at rule can be

A: It is given that line n is parallel to k ,

Q: Write some important things about integral calculus

A: Given: The important thing about Integral Calculus:

Q: Find the value of ZA (0, 1, 4) - - (-24,-2x, 92) dr I= -8 (-1, 4 ,0) BY O a) I = O b) I=2 O c) I =…

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Q: How many surjectiive functions have domain [10] and codomain [2]?

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Q: Find the der ivative of fanction

A: According to chain rule derivative of function f(g(x)) is given as f'(g(x))*g'(x).

Q: Reverse the order of the inTegrat

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Q: A particular country has 50 total states. If the areas of 35 states are added and the sum is divided…

A: It is given that the total number of states in a particular country is 50. The result “211,839” is…

Q: Solve for DE: separable DE

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Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means…

A: On solving this we will get:- Option (D) -12 sq. Units is correct

Q: Find the number of all onto functions from the set {1, 2, 3, ... , n} to itself.

A: Consider the given set {1, 2, 3,…, n}Since the function is onto. So, all elements of {1, 2, 3,…, n}…

Q: The principle of Analytic continuation:

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Q: Express gcd(55, 17) as a linear combination of 55 and 17.

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Q: In a very simple computer chip, 8 wires go from one transistor to a second transistor. For the…

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Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

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Q: Express the interval using two different representations. -8 -6 4. 6 10 12 -12 -10 (6) U or Interval…

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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: Let f= {(1,- 2),(8,0).(3,8)} and h= {(-2,8).(3,0)}. Find foh.

A: We know thatf∘g=f(g(x))

Q: The inverse of {(1, 4), (2, 7)} is {(2, 7), (1, 4)}.Determine whether the statement is true or…

A: We know that to find inverse of a relation we just need to flip the order of number. Example: If we…

Q: prove that (z(square root 2,+,×)) is integral domain.

A: We have , ℤ2   =  a + b2 / a , b ∈ ℤ We need to show that  , ℤ2 is integral domain. We know that , a…

Q: Express x8 - x as a product of irreducibles over Z2. Please be clear, correct and legible. Thank…

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Q: Use Bisection method to solve (x - 2)¯ - In (x) = 0, [1, 2]

A: Please refer to the image below

Q: A rectangle is inscribed in a right triangle of sides 5, 12, and 13. What are the dimensions of the…

A: Let x and y  be the side lengths of  the rectangle then area is A=xy And by similar triangles are,…

Q: estimate the type of the function at the interval {(1,2), (2,5), (3,5), (4,7)} is it: 1-1 or onto..?

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Q: lime

A: The epsilon-delta definition of limits:   The limit of f(x) at x = c is L if for any ε>0 there's…

Q: Suppose you have 1000 blocks, each of which is 1.0 cm on a side. If all 1000 of these blocks are…

A: First consider the case of 1000 blocks stacked to give a cube 10 cm on a side. The block which have…

Q: Put a positive whole number in each of the four boxes of this table that satisfies the rule. For…

A: Prime number is a positive integer having exactly 2 factors. for example 7 is a odd prime number as…

Q: find integral of 8xsin(4x2)

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Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A: Let f(x) = x8 — x. Over Q,f(x) = x(x7 — 1) = xϕ1xϕ7x=xx-11+x+...+x6 Note that  ϕ1x and ϕ7x are…

Q: 2x+5 교-4x+6

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Q: # (u²-1)4 (u² + 1)4 du

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Q: A 24-volume encyclopedia is placed on a bookshelf in numerical order. Each volume is 2 inches thick,…

A: The total volume of the encyclopedia  placed on a bookshelf =24 The thickness of each volume…

Q: ,3]---->R F(X)=2X-3 من المعلومات .A (7,5-, 3-, 1-, 1,3) .B (-7, -5,3-, 1-,1,3-) .c (-7,-5,-3,-1, 1,…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.