Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos (a) Choose... sin ( 2(a) v Choose... (-1+ cos2a )/2 (1+ cos2a )/2 (-1- cos2a )/2 (1- cos2a )/2 Not in the list

Q: very linear transformation = au + bv, y = cu + dv with ad – bc + 0 aps lines of the uv-plane onto…

A: Given, Linear Transformation x=au+bv and y=cu+dv maps lines of the u-v plane onto lines of the x-y…

Q: Jaenjinepnesents. beyelfuetiun aherer

A: This is a problem of Bessels function.

Q: Hi, I can't read this at all :(

A: We have to solve the given initial-boundary value problem modelling the vibration of a string with…

Q: Q/A) Replace the polar equation by equivalent Cartesian equation r 2cose- sine 1.

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Q: rectangle ABCD has side AB on the negative x axis, and side AD on the negative y-axis. POint C is on…

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Q: 3.f(t) = te2t sint

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Q: Answer the following using Jacobi Method. Show complete solutions. 2. 9x1 - 13x2 + 4x3 = 111…

A: For simplify the calculation we change the notations of variables as given below.

Q: Can you explain part (ii) more? just like a basic step by step explanation of everything that…

A: As per the question we are given two functions  α(x) , β(x) And we have to find the derivative of…

Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

A: Solution :-

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) eteU = e4…

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Q: of partial fraction y''+7y'+12y=0, y(0)=1, y'(0)=2

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Q: if it exact find the general solution of the given equation

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Q: {{u v w]':u + v = 0 and u – 2w = 0} 4. Find an orthonormal basis for the subspace S of R".

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Q: es solution of differential equati

A: Given,          ∑n=0∞(x-2)nn!

Q: Provide any set S1 and S2 such that: (a) Si and S2 are subspaces of R", and that (b) Si U S2 is also…

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Q: , How many ways are there to distribute r+s identical balls among five different children such that…

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Q: 2. ) For each statement, Determine if it is True. If it is true then prove it. If it is False then…

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

Q: A sizeable bare building wall serves as a backdrop for a famous night food market in Baguio City. To…

A: We will use the basic knowledge of integral calculus and evaluation of integrals to answer this…

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Solve the system of differential equations x' 7x + 4y - ly' — 8х + 5y - ¤(0) = 1, y(0) = - 1 x(t) =…

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Q: Consider the following two matrices 161 6 00 B =0 0 A =0 1 0 -2 0 1 0 1 0 0 0 0 Select one: a. none…

A: The matrix A has 3 rows and 5 columns. So A is 3×5 matrix.  Therefore, option b. is not true. Row…

Q: Question 2. Given the iterated triple integral 32-x2-y²x+y² dz dy dx. -4"-V-x2+16 Vx2+y2 a): Write…

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Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: 1. [3(BT + 2A)] * (AB¬1) 2. Determinant of #1 using Chios condensation method and Pivotal method

A: Given: Let us consider the given, A=112-5614-18-9563-5-1121-39-8…

Q: Psychologists have found that an equal number of students rate the following qualities as most…

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Q: Consider the SIR model with the square root dynamics ds A- uS – BVSI, dt IP dt dR BVSI - (u+7)I, I-…

A: We will use the basic knowledge of ordinary differential calculus for linear homogenous ordinary…

Q: A circle has a perimeter of 36 cm and a sector of arc of length 12 cm. Compute the area of the…

A: We have to solve given problems:

Q: 23 -31 7 7

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Q: Consider the following two matrices 1 7 A =|0 1 0 -2 0 1 0 1 3 (1 3 0 0 B =0 0 1 0 0 0 0 1 Select…

A: Solution:

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1,2), C =…

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Q: e'dy + (5t + ye')dt = 0.

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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Q: . u, = u, - sin x cos t, 1> 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, u,(x. 0) = 0

A: Solution :-

Q: Show your step-by-step solution tabulated solution (similar to the example). Round off computed…

A: As per the question we are given a definite integral, which we have to solve using Trapezoidal rule…

Q: A planet P in the xy-plane orbits a star S counterclockwise in a circle with radius 10 units,…

A: Given, A planet P in the xy-plane orbits the star S  in a circle of radius 10 units, completing one…

Q: Graph the polar equation and find the area of the region. Interior of r = 6+3 sin 0 a.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Q3: How many angle and side conditions in each one of the figures below (the numbered angles are the…

A: We will observe the  both figures and answer this question

Q: Use the Divergence Theorem to evaluate       S   F · N dS      and find the outward flux of F…

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Q: Are the sets Z x Z; ((x.y): x*y?) closed in (R , | |) ? What about the sets (0,1]U(2,3); [0, 00) in

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Q: Find the area Inside the lemniscate r = 6 cos 20 and outside the circle r = 3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Using the matrix notation, write the system of linear equations: 2x1 — х4 -1 5x1 + x2 = -2 X3 = 1…

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Q: ) For two vectors u = [1,0,0]T and v = [1,1, 1]", find a third vector with %3D 3. unit length such…

A: This is a problem of vector calculus.

Q: Solve 3 E ¤(0) = 12, y(0) = – 48 - 30 – 12 x(t) = y(t) = %3D

A: The solution is given as

Q: 7. Match the function with its graph 1 1. f(z, y) = In(r² + y*), 2. f(1, y) 3. S(r, y) = y² – x²,…

A: This is a problem of multivariable calculus.

Q: A third-order Euler equation is one of the form axy' + bx²y'" + cxy' + ky = 0, where a, b, c, and k…

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Q: Rewrite (without any justification) the integral f(x,y,z) dz dy da as an equivalent iterated…

A: We have to rewrite the given integration.

Q: Determine whether the action results in independent or dependent event. Roll a standard number cube.…

A: Solution

Q: The formula for vector projection is incorrect, rendering this solution useless. In the formula, it…

A: Let us consider two vector A and B then the angle between two vectors is obtained as cosθ=A·BAB The…

Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy %3D dx

A: