Find the values of the trigonometric functions of t from the given information. tan(t) = − 4 3 , sin(t) > 0 sin(t) = cos(t) = csc(t) = sec(t) = cot(t) =

Q: Prove the following matrix is hogonal. Is the matrix in SO(n)? (1/√2 -1/√2 (² 1/√2 1/√√2

A: We will use the theorem of the orthogonal matrix to prove whether the matrix is orthogonal or…

Q: I'm doing a worksheet with almost the same exact problems. But for part a of the question for my…

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Q: 4. Let p> 2 be prime. Show that there exists an integer n such that n² + 1 is a multiple of p if and…

A: We use the fact that if gcd(a,p)=1 then a^{p-1}= 1 (mod p)

Q: 9. Find the area of ze zy that lies inside the cylinder z² + y² = 1.

A: In this question, we will find the area of the surface z=xy that lies inside the cylinder.

Q: That answer given

A: a) W is not a subspce. Consider the matrix Then both A, B are matrix of rank 2.But, , is of rank 1.

Q: Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to…

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Q: Calculate the average required room rate using the above information. If the differential between…

A: The Nanaimo Inn, equipped with 60 rooms, anticipates a 70% occupancy rate. The proprietor aims for a…

Q: A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 10% each hour. Write…

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Q: 4. Use row operations to show that det X y y² 2² Z = (z − x)(z − y) (y – x).

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Q: For the vector field (x³z², o, -x²z), evaluate the line integral on the clase curve made by a square…

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Q: Why'd you choose 1/5?

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Q: Consider two fuzzy sets A and  B defined on the universe of discourse X={1,2,3,4,5} with the…

A: Fuzzy Union: The fuzzy union of two sets A and B is a set which contains all the elements of A and B…

Q: Using the € - 6 definition of limit, prove that x lim x 27x13 = : 2.

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Q: 5. Show that o (n) is odd if n is a power of two. 6. Prove that if f(n) is multiplicative, then so…

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Q: Use a calculator or program to compute the first 10 iterations of Newton's method for the given…

A: According to the given data, find the 10 iterations using Newton's method:

Q: What input is NOT allowed for f(x)= 1/5x-25

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Q: Determine mine a conditioN ON | x-4) that will that | 7x²-2 | 4.01

A: We have to determine the condition on  that will assure that

Q: 4. Let : Z → Z be given by (n) = 7n. Prove that is a group homomorphism. Find the kernel and the…

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Q: Find the exact interval of convergence for the power series n

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Q: a. 10 x₁-3x2 +6X3 = 24,5 b. 1x, + 8x2 - 2x3 = -9 C. -2X, +4X₂ -9x3 = -50

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Q: xplain how to solve a second-order, linear homogeneous recurrence relation with constant coeff

A: Solving a second-order, linear, homogeneous recurrence relation with constant coefficients involves…

Q: 22 Use the graph of f(x) - to solve the equation 2-5 y 6 22 4 2 -20 -2 4 75 4 24 122-25-1 X

A: Given graph for we have to solve the equation

Q: For the subspace below, (a) find a basis, and (b) state the dimension. 3a + 6b-c 12a - 4b-4c - 9a +…

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Q: Haggis Supermarkets (HS) have purchased 6 liters of irn bru from a local producer. Each liter of irn…

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Q: A campus club needs to elect four officers: a president, a vice president, a secretary, and a…

A: The objective of this question is to determine the winners of the four positions in the club using…

Q: If A, Band C are three points on the hyperbola yx = c^2 such that AB subtends a right angle at C,…

A: If A, B and Care three points on the hyperbola yx = c2 such that AB subtends a right angle at C,…

Q: (a) Calculate Let n ≥ 1 be an integer and let F(y, z) = y¹−¹ √√y² + z². G(y, z) = 2 Ə əz -F(y, z) —…

A: Given functionF(y,z)=yn−1y2+z2Partial derivatives with respect to z∂F∂z=yn−1zy2+z2…

Q: 4. The upper hemisphere of the unit sphere can be parameterized, using cylindrical coordinates, as…

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Q: Show that if c>l, then มะ ) Converges

A: We shall use the Cauchy Condensation test for solving this problem.

Q: . Find all of the abelian groups a) of order 200 up to isomorphism b) of order 720 up to…

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Q: The following image shows the graph of the function y = f(x) what is the new location of point…

A: The following image shows the graph of the function y = f(x) . We need to find  the new location of…

Q: -15x-15y-z=12 -9x-25y-2z=51 12x+15y+z=-18 Select the correct choice below​ and, if​ necessary,…

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Q: Using the half-interval method, find the intersection between the curves y finding the root of 3x -…

A: We will use a graphic calculator to find the intersection of two given curves;In this graph the red…

Q: Prove or disprove: If (n) and (yn) are subsequences of each other, then n = yn.

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Q: ▪y"" + 6y" + 11y' + 6y = 5e-2x + 6x

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Q: a. Sketch the graph of the function on the given interval. b. Calculate Ax and the grid points x0,…

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Q: What and How to find mass density (λ(x,y,z) ) and r(x,y,z) in this question?

A: As per the question we have to explain how to find the mass density and the radius from the centre…

Q: 1060 Find the volume of the ice cream cone solid, bounded above by x² + y² + 22 = 1 and bounded…

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Q: a. Solve the following LPP using Simplex method Max. Z= X₁ + X₂ + s.t. 4x₁ + 8x₂ + x3 2x2 + x3 32 x₁…

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Q: Given points P, Q, R, and S. If PQ is aligned with SR and PS is aligned with QR, then prove that PR…

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Q: Sketch the collection of all complex numbers z = a+bi which satisfy the given equations: (1)…

A: We have to sketch the collection of all complex numbers z =  a+bi which satisfy the given…

Q: 1.UA Hamburger Hamlet (UAHH) places a daily order for its high-volume items (hamburger patties,…

A: To solve these problems, we will use the Economic Order Quantity (EOQ) model for inventory…

Q: A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to…

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Q: Use the Gauss-Jordan method to solve the given system of equations: -25x-6y-z=-40 -15x-10y-2z=-14…

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Q: y" - 8y' + 25y = 0

A: Given differential equation is

Q: 2. Evaluate f (x^²y³ − 2y)dx + (3x + x³y²)dy where is the curve given below oriented in clockwise…

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Q: Let G = GL(2, R), the invertible 2 x 2 matrices with multiplication as operation. Let K = {M € GL(2,…

A: Let , the invertible  matrices with multiplication as operation.Let .Prove that  is a normal…

Q: R^n →R is convex, we write L=H*.  (a) Let H(p) = (1/r)*|p|^r, for 1 < r < ∞. Show L(v) =…

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Q: Consider the following transportation problem: D₁ D2 D₁ D₁ Supplies 14 22 36 0 W₁ 10 W₂ 18 19 25 1…

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Q: Map at least 5 key points and then sketch a graph of f(x) = −3 cos ; (2x + 1). Show your work…

A: We have to draw the graph of given function