1 1(2) + 1 + 2 (3) 1 1 + 3(4) 4(5) +...+ 1 n(n+1) = 1-¹ if n E N. n+1

Q: Prove the following Theorem. Let A and B be sets and f a function from A to B. Then the following…

A: We will prove it by using basic definition.

Q: Simplify the expression. +3 7²-25 2+2/3=

A:

Q: Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log(x) + 2 what type of functions are…

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Q: If you have 18 dimes and quarters that are worth $2.25, which system would represent this? Ofd+q=18…

A: d + q =18 0.1d +0.25q = 2.25 because here given that the value of this is worth 2.25  so this is…

Q: What is 10x500 ? And how do you solve it ?

A: Given: 10×500

Q: 13. Use the idea of FLOF to rewrite 6,000+ 840 in at least 3 different ways that would produce the…

A:

Q: What is the maximum value of z given the objective function z = 2x + y? What is the maximum value of…

A: Let's find maximum or minimum value of given function.

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64° when the…

A: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°. The bottom…

Q: Is there any bias in the following survey question? Explain.

A: we need to find out that is there any bias in the survey question “Do you prefer delicious chocolate…

Q: Graph the following function over the indicated interval. 300 N= [0,6] 2+ e Choose the correct graph…

A: We have to find out graph

Q: 4. Let V be a vector space over C and let L: V → V be a linear transformation. State the definition…

A:

Q: he graph of f shown in the figure to sketch the graph of each of the following. A) y=f(x)-3 (B)…

A:

Q: Find (u, v), ||ul|, |v||, and d(u, v) for the given inner product defined on RT. u = (1, 3, 0), v =…

A:

Q: The coordinate B (2, 30°, 3) is _____ in RCS. B (1.7321, 1, 3) B (1,1.7321, 3) B (0.3085,-1.9761, 3)

A: Topic:- co-ordinate system

Q: Solve each equation for x: a. log,(x + 1) = log, 6

A: The solution of the logarithmic equation is given below:

Q: A company is trying to introduce a new product to as many people as possible through television…

A:

Q: What are the two things we need to show in order to prove that (S,*) is a mathematical system?

A: Please see the below detailed solution.

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A:

Q: Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system…

A: The solution can be seen in the below steps.

Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) M2x2 is a vector space…

A: We can solve this as follows:

Q: y = 4 – 2r x = 8 + y

A:

Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

A:

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Here we need to select the players and arrange them in the batting order. so we need to do selection…

Q: 7. Find x at f(x)=0

A:

Q: In the formula, shown below, PMT= -nt7 In the formula, shown above, is the regular payment amount…

A: In the given formula  PMT = monthly payment of a loan P = loan amount r = interest rate t = time in…

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 34°. Mountain…

A:

Q: In which function does t vary jointly with q and r and inversely with s? Answer choices: t = kq/rs t…

A:

Q: The table of values represents a continuous function. X -3 -1 1 3 g(x) 4 -4 -4 14 Which type of…

A: Topic:- Algebra

Q: The graph of a function f (x) is shown. Which of the following statements are true about f? I. f is…

A: Here we have the graph of f(x).

Q: 4. Let A = {1, 0, 2, 4, 7). Find f(A) if a) f(x) = 8 b) f(x) = 8x7

A:

Q: Solve the inequality. Write the solution set in interval notation. 6) -1 -2(2x + 1) <x - (-1-x)

A:

Q: Let R be a ring. Let p and q be elements of R[x] such that deg(p) = 1 and deg(q) = 2. True or false:…

A: Given that R be the Ring and p and q are elements of R[x] Deg(p)=deg(q)

Q: for each item. If NONE or MORE THAN ONE of the choices is the correct answe

A: Solution of the problem as follows

Q: line passes through the point (3,-8) and has a slope of -9

A: Given problem:- Equation of a line passes through the point (3,-8) and has a slope of -9

Q: stion. A correct answer without an explanation will not eam Solve the inequality. Enter the exact…

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Q: * k= factorial (6) k=:

A:

Q: Let (G, ◊) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

A: Solution of the problem as follows

Q: If ae R, solve the following equation: x+ a² = √a-x.

A: To solve: x+a3 = a-x3 Take cube of both sides  x+a33 = a-x

Q: (6) In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species…

A: Species with 13 petaled flowers  :-  1) Corn marigold  2) Cineria

Q: For numbers 15-17 two parts that are 10 ft. apart is y = 46cosh()-25 15. What is the length of the…

A:

Q: Operations on algebraic expressions  2x + 5x - x

A: We can solve this as follows:

Q: If m and n are two possible times when the hour and minute hands of the clock will be equidistant…

A:

Q: The marching bands at Chippewa Valley High School and Dakota High School are combining a special…

A: Solution

Q: Question # 3: Graph system of inequalities (x + y ≤ 3 [x² + y² ≥9

A: We can draw the system of the given inequalities. The common region of the given two inequalities is…

Q: 4 If R is a commutativ ring, show that the characteristic of R[X] is the same the characteristic of…

A: Given

Q: Write the equation of a sine or cosine function to describe the graph. 'y 1 6 9 5- 34+ 2 1 |6 FIM 3…

A:

Q: fin y" given that x^2 - xy + y^2 =3

A:

Q: 14. True or False. 1−tanh’(x)=sinh(x) O a. False. Correct answer is csch²(x) O b. False. Correct…

A: Given trigonometric functions.

Q: 13. Find the cofactor matrix and adjoint of matrix A A = 2 -2 1 3 1 3

A:

Q: CONIC SECTIONS given the conic section, find the required elements 16x2-25y2-96x+50y-281=0 find…

A: