PATTERNS For these rectangles, 2 3 4 5 6 7 8 10 11 12 7 x 3 - 9 x 1 = 12, 13 14 15 16 17 18 21 x 17 - 23 x 15 = 12. 19 20 21 22 23 24 Investigate.

Q: 5 dx 1 (x-3)² (A) - 1 (B) 0 (c) ∞o (does not exist) (D) 1 Evaluate: E) None

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Q: Let R be a ring with unity. Show that (a) = { £ xay : x, y e R }. finite

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Q: What does preparing to teach a mathematics lesson involve and why is it necessary?"​

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Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: sin x ex: Find lim,-0

A: We need to evaluate the following limit using table limx→0sinxx

Q: Find the values of a, b, and c in the equation: 2x² + x –3 = 0.

A: Given, 2x2+x-3=0  We have to find the value of a, b  and  c

Q: Explain the maths

A: Consider the given information. -20=-0-14log10wgc-log1 Simplify the values and value of log1 is 0.…

Q: (a) What would the sampling distribution of the sample mean for a random sample of size n=2 years…

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Q: Please explain how.

A: We have given a function f(x).

Q: What is the answer and how do I show my work?

A: we have to show that 2x+52 is not equal to 4x2+5

Q: How is math connected to people and surroundings?

A: You go to the market and buy something. Now you have to pay for that. So you have to calculate how…

Q: How do you define mathematics?

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Q: What are the individual steps?

A: The given equation can be written as:

Q: Suspose that a popular hotzl fer vacationers in Orianda, rlorda, has a total of 300 dentical roams.…

A: e) here let x is number of reservation done ; therefore mean number of arrival =x*(1-p) where p is…

Q: 4 -99 -4 Find vectors v, w such that the set {u, v, w} is an orthogonal basis for R³. 0 Let u =

A: The given vector u=4-40, we have to find the vectors v, w such that the set u, v, w is an orthogonal…

Q: a3 an where n! = 1.2•3•4..•n, can be used to approximate the value of ea for any real number a. Use…

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Q: What is i ? Explain.

A: In complex numbers, i represents the imaginary part. The value of i is -1.   So, in case if we end…

Q: Type 7: Integer Answer Type Questions 1 x and g(x) = 1 + tan- 1x 1. 2 Let f(x) = sin23 22 x - CoS…

A: Introduction :

Q: How is mathematics incorporated in this shape

A: Given figure is of a Snowflake. A snowflake is an excellent example of incorporation of mathematics…

Q: Use transversals to show that the sum of the angles in a triangle is 180. a. Complete the steps.…

A: To use transversal to show that the sum of angles of a triangle is 180°

Q: 1. Suppose that f is an infinitely differentiable function (that is, all its derivatives exist and…

A: According to our guidelines we can answer only three subparts per posting. Hence we will answer…

Q: A. Find f + g,f – g,fg.f/gand state the domain of each. f(x) = Vx2 + 5x – 6, g(x) = V-x² + 4x + 12…

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Q: (Modeling) Voltage The voltage in common household current is expressed as V = 163 sin wt, where w…

A: Introduction: The sine function is a basic trigonometric function. It is widely used in different…

Q: Dr. Kay is learning how to make some traditional Indian food and comes upon this recipe for a…

A: Activity table is given : It consists ( activity, predecessor activity and time) We have to answer…

Q: 9. Express v-56 in terms of j.

A: Express -56 in terms of j

Q: 2 - at 1 *** 2 212 2 (3) ziat at - - 2 -w²H م 2-iw) = -iwan at at * ✓ -iwt (7). - ziat i م ) - - iw…

A: In the image below, we need to explain the mathematics used. Prerequisite: Product rule:…

Q: 3x – y + z = -1, -x+ 3y – z = 7, I – y + 3z = -7.

A: Given: 3x-y+z=-1-x+3y-z=7x-y+3z=-7

Q: Plot and shade the following regions of the complex plane: (a) z-4-3i| ≤ 2 and Re z > 3. (b)…

A: The given inequation z-4-3i≤2 is the region interior of the circle with centre 4+3i and radius 2. In…

Q: 27 p' wr" e dp de 211 - caro do 4 (" (1- cose)" wr? edo (core -1) cor ? odo CoS 4 211 ar" ode -a…

A: According to question ∫02π∫01-cosθP3 cos2θ dpdθ

Q: Find the vertex and the zeros from the graph of y = x2 – 4.

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Q: Example: syms x y(x); % Defines the variable x for the differentiation and other operations. Also…

A: 1. syms x g=tan(x.^3); Dg=diff(g); disp(Dg)   answer: 3*x^2*(tan(x^3)^2 + 1)   2. syms x…