Evaluate the value (a) sin(2) (b) tan (5) (c) sin-¹(√3/2) (d) sin-¹(sin(¹1))

Q: Consider the recursive definition of the function f(n) f(0) = 0 f(n) = 1+ f(n-1) Find ƒ(1), ƒ(2),…

A: Recursive relation: It is an equation which represent a sequence based on some formula. From the…

Q: (c) Let R be a finite commutative ring with identity. Prove that an ideal in R is prime if and only…

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Q: A volume is described as follows: 1. the base is the region bounded by y - 2. every cross section…

A: Answer :- On graphing we get

Q: Zachary deposited $1,200 at the end of every month into an RRSP for 6 years. The interest rate…

A: Given: Deposited $1200 at the end of every month for 6 years. Interest rate 3.50% compounded…

Q: f(t) = cos(2t). Find F(s)

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Q: Solve the followig non linear gebraic equation to fined one non Zevo root. P(x) = Sin [√ Secx + x…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: A piece of land is triangular in shape. Two of its sides are measured as 80 ft and 100 ft, and the…

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Q: A bicycle factory runs two assembly lines, A and B. 97% of line A's products pass inspection and 95%…

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Q: and suppose that we have the following row reduction to its RREF B. [00-481 [17-180] 856 1 460 856 1…

A: First we find the row operations step by step.

Q: Let F = {(x, y, z, w) ≤ R¹ : z = x + y, w = -2y-x} = . Which of the following statements is false? O…

A: Given that z= x+ y and w = -2y - x Therefore (x,y,z,w)= (x, y, x +y , -2y -x)…

Q: er indi (a) (3,5) U {6} (b) (-∞,0) U (0, 1) (c) {1, 2, 3, 4, 5, 6, 7, 8, 9) (d) (-∞, 0) U [0, 1) (e)…

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: ACTIVITY: Problem Solving (show your solution) 1. Determine which Simpson's Rule you are going to…

A: Given : Time (min) 0 5 10 15 20 25 30 Velocity(m/s) 25 28 32 30 29 26 23 To find :(a)…

Q: The following Lewis diagram represents the valence electron configuration of a main- group element.

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Q: 2. Solve the general cubic equation x³ + ba + bx + c = 0 with the trick of Cardan's Ars Magna.

A: The general cubic equation x3+ba+bx+c=0. We have to solve this equation using Cardan's Ars Magna.

Q: Prove that for any graph G, y(G) ≤ 2ir(G)-1.

A: Please find the attached solution

Q: Find the root of the function using the following methods. c- One-Point Iteration Method

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Q: Problem 4. Let (X, dx) and (Y, dy) be metric spaces. Show that the sup norm metric do we defined on…

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Q: a finite group and Z is its centre, then class equation of G is expressi o(G) o(G) = o(Z) + E…

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Q: O A heated fluid at temperature T (degrees above ambient temperature) flows in a pipe with fixed…

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Q: Prove that A°= A - Ab.

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Q: 1) Solve the following ODE using the power series method y" + sin(x) y' + cos(x) y = 0 i)

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Q: Let T: V-->W be a linear transforma­tion between finite-dimensional vector spaces V and W Let B…

A: It is given that,  V and W be the finite-dimensional vector spaces. And,  T : V→W be a linear…

Q: In a recent year, 5 out of 7 movies cost between $50 and $99 million to make. At this rate, how many…

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Q: 57х3+4х+ уоб (+ 140x-29 лят(3жу) - 49*+3 + sin

A: Please find the attached solution.

Q: The series converge of diurge? ? CNR não 5-Cosni

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Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

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Q: show that Beltrami-identity does not help you. to solve the equation- + wint fo of t. show

A: Please find the attached solution

Q: Find a, the average f(x) value, of the following function f(x) = Ax²-2, -1<x<1; f(x) = f(x+2) Where…

A: Given f(x)=Ax^2 -2; We have to apply the Fourier series to find the required answer.

Q: homomorphism If f is a of a group G into a group G'with kernel K. let a € G be such that f(a) = a' e…

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Q: the equation to the plane in the new position is ax + by ±z √√a²+ b² tan α = 0.

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Q: QUESTION 38 If AABC is scalene, then A a²+ b²-² bc a²+ c²-b² ab 2sin B tan A B is equal to: b²+…

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Q: Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of…

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Q: (a) Check as to whether ordinary multiplication is a binary operation on Z or not

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Q: 25. 0 2x+y=4 2 26. -1 у 0 y = ex 1 x

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Q: Line L, is parallel to vector a = -31 +23+4k and passes through a point A(7, 6, 2) and line L₂ is…

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Q: x+z = hz 11p> to * Y (1) = 0

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Q: Question 4. A circle centered at (0,0) with radius one is revolved about the line x=3. The solid of…

A: The equation of the circle is x2+y2=1 Now consider a horizontal strip of width dy…

Q: 22. The sum of the measures of the interior angles on the drawing of the site plan below equals D in…

A: We know that the sum of interior angles of a polygon is ( n − 2 ) × 180°. where n is the number of…

Q: In its natural condition a soil sample has a mass of 2290 g and a volume of 1.15 x 10-³ m³. After…

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Q: Explain what geometric problem As there local ०४ is solved here and global constraint- d

A: Please find the attached solution

Q: Solve the Goursat problem:    Utt − c 2Uxx = 0 u|x−ct=0 = x 2 u|x+ct=0 = x 4 . Hint: Use the…

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Q: Consider the wave equation Utt- c²Uxx = 0 ᏆᏆ the half-line x = [0, ∞) with boundary condition U (0,…

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Q: 12) 67' -5% (.) 9 = ? Ft'- In xx/xx” ?

A: Consider the given expression 67'-514''9. Single dash ( ' ) represent the feet and double dash…

Q: Three people are lined up behind each other, from shortest to tallest. They are shown five hats,…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: re this sum

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Q: αι = Ω_(7q+6) @ = 0 = ΠΩ(+1)t-qΩ-11+4 Ω_(q+1)t-q ΠΩq+1)t-q + 1 Πιο Ω-(n+1)t-q Ο Th ΣΠ +1 h=0 k=1 6 1…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

Q: 2. Using the function f(x) = 2x+cos³ (x) - sin(x) bounded by x = 4 to x = 10 Find the area using…

A: The given problem is to find the area of region bounded by given function and x=4 and x=10 using…

Q: 20. In a certain nation, every citizen is assigned an identification number consisting of the last…

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Q: (a) On a sheet of paper, or using a calculator or other technology, graph the three indifference…

A: Please find the attached answer.

Q: ILLUSTRATION 4.60 The plane ax + by = 0 is rotated through an angle o about its line of intersection…

A: Given that the plane ax+by=0 is rotated through an angle α about its line of intersection with the…