Use the d'Alembert solution to solve -00 < x < oo, t> 0, u(г,0) cos? r, u(x, 0) = e®+1.

Q: - cos 4x − x²), then g(g(100) = = If g(x) = (4 cos x - 2 cos 2x -

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Q: 5.) A regular hexagon has the midpoint of its edges joined to form a smaller hexagon B. This process…

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Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time…

A: a) Let the money that Josh had be x but it is not enough to buy a bicycle Sam said that I can fixed…

Q: 34 0 3 -1 4 Let A = 0 0 2 2 0 0 1 3 Refer to the matrix above and answer the following questions.…

A: We can solve this using given information

Q: Solve: (3 + cos x)² = 4 - 2 sin³ x.

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Q: ind the equation of the tangent line to the graph of f(x)= 3e* +1 where x, = In 2.

A: Slope of tangent line is (m) given by derivative of curve at given point. Let the curve be f(x) and…

Q: Which of the given subsets of the vector space, M23 of all 2x3 matrices are subspaces? The set of…

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Q: # 42.) A watermelon has an ellipsoidal shape with major axis 30 cms in length, minor axis of 24 cms,…

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Q: 1. The base and the height of a parallelogram is (x-7) met (x+9) meters respectively. If the area of…

A: 1. Base of parallelogram is b=x-7   Height of parallelogram is h=x+9 and Area is = 192=(x-7)(x+9)…

Q: Find the four fourth roots of 7+27 and express the roots in polar form. [A] 1.64 cis 3.99°, 1.64 cis…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 8.) Suppose four coins are tossed. Let X be the random variable representing the number of HEADS…

A: Four coins are tossed Probability of getting heads when a coin is tossed(p)=                  (…

Q: Which of the given subsets of the vector space, M23 of all 2x3 matrices are subspaces? The set of…

A: here we have to check whether the given subset is a vector subspace. For this, we will check whether…

Q: 1.) Let V be the set of all 2x2 matrices A = [ such that the product abcd = 0,1 as the operation O…

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Q: Sketch the graph of each polynomial functions. Based on the graphs, identify the degree, sign of the…

A: NOTE: Refresh your page if you can't see any equations..Here the degree of the polynomial function…

Q: Use mathematical induction to prove that, for any integer n >= 1, n k=0 2k = 2n+1 1

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Q: 4. Determine whether each of the following eight statements are True or False: a. {1,2,3} C {1,2,3,…

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Q: #2.) If the slant height of the cone is 16 inches and the total area is 120 square inches, find the…

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Q: The center of a circular stage is located 5 units to the right of a reference point, which…

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Q: 3.) The number of inquiries received per day by the Office of Admissions in a certain university is…

A: X222324252627P(X)0.080.190.360.250.070.05

Q: Suppose the current annual salary of all teachers in the Philippines have a normal distribution with…

A: Suppose be the current annual salary of all teachers in the Philippines.Mean: and A standard…

Q: 1.) For each of the following vector spaces give two different spanning sets. b.) M22

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Q: Proved that the set V of all real valued functions is a vector space under the operations defined in…

A: Here in the question, it is given that V is a collection of all continuous functions. So, then it…

Q: 5.) Find the area of the rhombus in which one side measures 9 cms and the longer diagonal measures…

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Q: 4.) Triangle RST is inscribed in a circle of radius 9 cms. If the angle measures at vertex T and S…

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Q: # 51.) The volume of a paraboloid is 487 in3 and the radius of the circular base is 4 inches. Find…

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Q: 1.) Let V be the set of all polynomials of exactly degree 2 with the definitive of addition and…

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Q: Non-exact Differential Equations 4. (x*y +2xy² -x eły +(xy³ In y +3y+2x*y }dx = 0

A: I

Q: a.) Is V closes under scalar multiplication? Explain

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.