6. What is the sum of 10 100 8. 10 8 100 26 C 10 26 100 ents, draw anywhere on this slide!

Q: ELEME 4. Prove that the square of any odc specifically, that In the sequence of triangular nu (a)…

A: 8). To prove that the reciprocals of the first n triangular numbers is less than 2; that is…

Q: Section 3.2 Distance and the Ruler Postuláte 39 Corollary 3.2.8. A * C * B if and only if B * C * A.…

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Q: 3dt =. O 24 12 16 20 O 3

A:

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

Q: 2. A= B = 23 DA+B @ Ao+B

A:

Q: 9 What is the y value when x equais 1? Your answer 10. What is the y value when x equals 5?

A: We are given a table describing relationship between x and y such that: x 0 1 2 3 4 5 y 5…

Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: A dead body was found within a closed room of a house where the temperature was a constant 70° F. At…

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Q: (a) Sketch the graph of the given function. 3, = {³+ f(t) s f(t) = 3 2 f(t) 0 2 (b) Express f(t) in…

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Q: dy Write down a differential equation of the form =ay + b whose dt 11 10 solutions all approach y =…

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Q: ELEMENTARY NUMBER THEORY 9(2n + 1) = t9n+4 – t3n+1 -

A: Triangular numbers: The number that computes the things set up in an equilateral form is called the…

Q: Use the procedures developed in this chapter to find the general solution of the differential…

A: A differential equation is: .We have to find the general solution of the given differential…

Q: 3 Derive the following formula for the sum of triangular numbers, attributed to the Hindu…

A: We have triangular number tn=n+12 ⇒tn=n(n+1)2 We have to prove t1+t2+t3+...+tn=n(n+1)(n+2)6

Q: A community college employs &85 full-time faculty members. To gain the faculty's opinions about an…

A: Given, There are 85 factuly members in a college. To gain the faculty opinion on upcoming building…

Q: A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: Find the area between the curves y = = x² and y = %3D 3+ 2x2 Select one: V2 O a. O b. 2/2 V2 c. 6.…

A: The region is bounded by the curves,   y=x2 and y=23+2x2 Note:      Multiple questions are given, we…

Q: A force of 960 newtons stretches a spring 4 meters. A mass of 50 kilograms is attached to the end of…

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Q: The values in the column for the degrees of freedom are based on the number of population means, or…

A: The information provided in the question are as follows : k = number of treatments or population…

Q: Σε. %3D k=1

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Q: Theorem, which is Euclid's Proposition 6. Theorem 4.2.2 (Converse to the Isosceles Triangle…

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Q: A list of managers is compiled and ordered. After a starting number is randomly chosen, every ninth…

A: Given that : Here we use the sampling  survey concept to solve this problem.

Q: A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

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Q: Prove that if a and b are integers, with b > 0, then there exist unique integers q and r satisfying…

A: To Prove -  If 'a' and 'b' are integers, with b>0, then there exists unique integers 'q' and 'r'…

Q: Consider the following initial value problem. (A computer algebra system is recommended. If a…

A: Given That :  Initial Value Problem  y'=y2+2ty3+t2 , y1=2 To Find : a) Use the Euler method with…

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A: We have to find the constant of proportionality k and the intensity of the beam 13 feet below the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.