True or False: An inscribed triangle divides the circle into three arcs, 148°, 200° and 12°, then one of the angles in the triangle is 74°. O True False

Q: Consider a, b ∈ R where a < b. Use Denseness of Q to show there are infinitely many rationals betwee...

A: To prove: There are infinitely many rational numbers between a and b, where a,b∈ℝ, with a&lt;b.

Q: 9. Find the third-degree Taylor Polynomial for f(x,y) = yö4 about (2,1). x2y5+1

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Q: z-sin z Consider the function f (z) The Laurent series of f (z) around 0 is : - : + | -| + -E | | i ...

A: To find:   Laurent series expansion of f(z)=z-sinzz3 around 0.

Q: 4. Curl of f (x, y, 2) = 2æyi + (x² + z²)j + 2zyk is a) xy? i- 2xyzk & irrotational b) 0 & irrotatio...

A: find curl ,

Q: AZ Geometry 2.4 m 27. A sphere fits snugly inside a cube with 2.4 m. edges. What is the approximate ...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = x2, y = 2x

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Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1; n n=1 a) Sketch the gra...

A: Given the Fourier series s1=∑n=1∞-1n-1cosnxn2=π2-3x212,-π&lt;x&lt;π. s2=∑n=1∞-1n-1sinnxn2=xπ2-x212,-...

Q: At a salsa lesson there are five boys: Adam, Bob, Chad, Dave, and Evan, and five girls: Fay, Gail, H...

A: Option b that is 120 ways

Q: Find (A, B), ||A||, ||B||, and d(A, B) for the matrices in M2,2 usir (A, B) = 2a11b11 + a21b21 + a12...

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Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding ...

A: We have to find the directional derivative of ∇·U at the point 4,4,2 in the direction of the corresp...

Q: Find g'(x) for each of the following functions. 4) g(x) = ["sin(u* )du 5) g(x)= [," Inudu

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Q: if f(z) = (ax – x³ + 3xy²)+ (by – 3x² y + y) is analytic, then the value of a and is

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Q: Consider the basis B={(2,1),(-1,2)}. What are the Fourier coefficients of (0,5) w.r.t. B? (1/2,2) (0...

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Q: Given two lines L1 : x =t+1, y = 3t + 1, z = 2t – 1, and L2 : x = 2t – 2, y = 2t + 3, z =t +1, suppo...

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Q: ctor space? If not, why not? 7. Let C denote the set of all convergent sequences of real numbers {an...

A: see attachments pls

Q: 2. Prove that every convergent sequence is Cauchy. 3. It is well-known that all norms on a finite di...

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Q: The total number of thousands of tons of coal produced per year over a 10-year period for a certain ...

A: The complete solution is in given below

Q: 3. Let å1, åz, åz be three nonzero vectors in R2 and let b1, b2, bz be three real numbers. Consider ...

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Q: 15. How many combinations has a 3-digit lock? A. 27 B. 100 C. 300 D. 1000

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Let R=[0,6]×[0,6]. Subdivide each side of R into m=n=3 subintervals, and use the Midpoint Rule to es...

A: Given :  R=0,6×0,6m=n=3

Q: 4. Determine which of the following sets of n x n ma- trices are subspaces of Mnxn (R). a) The n x n...

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Q: We model pumping from spherical containers the way we do from other containers, with the axis of int...

A: Calculate the area of cross-section of container.

Q: (d) The characteristic polynomial of A is –t(t² – t + 6). (e) The characteristic polynomial of A is ...

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Q: Given that x, x2, and 1 are solutions of the homogeneous equation corresponding to *y" + xy" - 2.ry ...

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Q: The average monthly car insurance premium in Indiana is $ 686 and for Illinois is $ 815. Find the r...

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Q: 5. Determine the Fourier cosine series of f(x) = n²– x² 0<x<1

A: We have ,  f(x) = π2 - x2 We need to find Fourier Cosine series of f(x). We know that , Fourier cosi...

Q: g(x) = 2x4 + 5x³ – 3 guaranteed to have a zero. (Select all (a) Use the Intermediate Value Theorem a...

A: Given- gx = 2x4 + 5x3 - 3 To find-  Use the Intermediate Value Theorem and the table feature of a g...

Q: Show that for every positive function f on R there is a monotone increasing sequence of integrable f...

A: We need to show that for every positive function f on ℝ there is a monotoneincreasing sequence of in...

Q: t & · &1 and & · &2 be two equivalent norms on a vector space X. Prove that a sequence % xn & in X c...

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Q: [1 -1 A = 3 2 and B = 3, find (AB)T -1 5 1. 2. [-2 4] 3. 4. [-2 -4] Select the correct response: 1 4...

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Q: In the past 20 years, Wonderful Water Park had eighteen million, four hundred twenty thousand visito...

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Q: Given [1 4 1 -3 -1 A = 3 4 -6 8 0 -1 3 Find a basis of the range of A.

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Q: Find the Jacobian of the transformation x 2u, y = 2uv and sketch the reg

A: (a) Given,             x=2u, y=2uv  

Q: Yumi wants to buy a volleyball. Its original price is ₱965 and is on sale at 25% discount. How much ...

A:

Q: Solve the dy *+g+ 3 differential %3D equation.

A: The given problem is to solve the given differential equation. Given differential equation dy/dx =x+...

Q: Problem 6: 2.3. 4.5. 9. ? . What number must replace the question mark 3 4 5 6 7, and find the nth t...

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Q: 1. In rolling a pair of diče, there a.) Find the probability of getting a sum which is even or a sum...

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Q: 150 will be demanded by  T-shirt wearers. When the price is K45, then 100 T-shirts are demanded by T...

A:

Q: Using definition of Laplace transform, find F(s) if 0 4. 2 f(t) = e(1–2t)

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Q: Suppose that the marginal propensity to save is ds (in billions of dollars) = 0.3 - dy V9y + 6 and t...

A: Given The marginal Propensity to save is dSdy=0.3-19y+6   (in billions of dollars) and that consumpt...

Q: Determine the equation of the line that is tangent to y = = elan°(2x) at x =

A:

Q: Suppose that the function f : D → R and g : D → R are uniformly continuous and bounded. Prove that t...

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Q: (a) Which system of differential equations describes a situation where the two species compete and w...

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.Than...

Q: A solid lies inside the sphere x^2 + y^2 + z^2 = 6z and outside the cone z=sqrt(x^2+y^2). Write a de...

A: Given : Inside the sphere : x2+y2+z2=6z Outside the cone : z=x2+y2

Q: 9) A Function f on the inttenval El,)] can be expanded in terms of Chebysher Poly momials: F=& An Tn...

A: The main objective is to write the coefficient of Tn in Chebyshev polynomial for f(x) =x.

Q: 1) Compute the following sums. d. Σ12 =4 e. 32 + 64 + 128 + ... . + 4096

A: Summation evaluation,

Q: Determine if the graph shown below is Eulerian or Not * Eulerian   Not Eulerian

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: 4. Determine the Fourier sine series of f(x) = x + 1 0<x <n

A: The given problem is to find the Fourier sine series of given half range periodic function. Given fu...