Find a formula for sin(3thetha) in terms of sin(thetha) and cos(thetha) using the sum and double angles identities. There has to be an explanation for what the steps are and why you are doing what you are doing.

Q: use cylindrical coordinates to find the mass of the solid Q of density ρ.

A: use cylindrical coordinates to find the mass of the solid Q of density ρ.

Q: F(s) = e4-3s (s+4)5/2

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Q: ㅠ Write the Taylor series for f(x) = sin(x) at x = - 7 as Lc (²-1)". Cn 2 2 n=0 Find the first five…

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Q: (a) What is the probability that at most 39 greater than 67

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Q: b) Consider the following recursive sequence s So = 1, Sn = 2 * Sn-1. Prove for all i 20 that s; =…

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Q: Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the…

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Q: FIND TWO POWER SERIES SOLUTIONS FOR THE FOLLOWING DIFFERENTIAL EQUATION ABOUT THE ORDINARY POINT X-O…

A: The given problem is to find the two power series solutions for the given differential equation…

Q: 3. Use the table of indices modulo 17 below to solve the following problems. 1 2 3 4 5 6 7 8 9 10 11…

A: Given: The table of indices modulo 17.To find: a) 8x6≡2mod17              b) 8x4≡15mod17…

Q: Show directly from the definition that if an is a positive real sequence with limn→∞ an = 0 and…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e¹t - 4et, y(0) = 1,…

A: Use the given information.

Q: A y = @ sin t. x.= @ cos t, 2 may as we , mod Auw zw sword Supomoso jo uogonba ay puny

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Q: 80% of the voters favor Ms. Stein. If 450 voters are chosen at random, what is the expected number…

A: We shall use the formula for expectation of a random variable following binomial distribution: E[X]…

Q: Evaluate the surface integral S F. ds

A: To find the surface integral for the function F(x,y,z)=xi+yj+10kfor the surfacex2+z2=1,y=0 and x+y=5…

Q: Use spherical coordinates to evaluate the triple integral /// x² + y² + 2² dV, where E is the ball:…

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Q: Determine the corresponding ciphertext if the message KAMUSTA? is encrypted using a shift cipher…

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Q: H 22. Iff: X→ Y and g: Y→ Z are functions and g of is onto, must g be onto? Prove or give a…

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Q: You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57…

A: You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57…

Q: Use summation properties and formulas to rewrite and evaluate the sum. 21 Σ ( − 9i² − 6i + 9) i=1

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Q: 2. Examples. Justify your answers briefly. (a) Give an example of a nonconstant complex sequence…

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Q: The yearly amount of material recycled (in thousand tons) during selected years from 2000 through…

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

Q: For a roll of three dice, show that both a 9 and a 10 can be achieved in six different ways.…

A: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is…

Q: EXERCISE 2 The differential equation is given y" - 3y' + f(x) y = 0, y = y(x) nd y1=yı(x), y2=y2(x)…

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Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: 1). Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for the given function and…

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Q: 8. Use triple integrals to find the volume of the solid enclosed by the cylinder y = x² and the…

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Q: Use the formula for nPr to solve the following question. A club with sixteen members is to choose…

A: Since in this problem repetition is not allowed we shall do permutation. nPr = n!/(n-r)!

Q: dx √₁²x²+² x²+2x+10 dx using Gauss-Legendre and Gauss-Chebyshev Quadrature formulae. 6. a) Evaluate…

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Q: H 21. Iff: X→ Y and g: Y→ Z are functions and g of is one-to-one, must ƒ be one-to-one? Prove or…

A: Let, for x, y ∈ X, f(x) = f(y)  Then, g(f(x)) = g(f(y))          => g o f(x) = g o f(y)

Q: ith the curve Find the equation of the plane that has three point contact at the origin x = A - 1, y…

A: We find the equation of the plane that has three point contact at the origin with the curve x=…

Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

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Q: USE THE LAPLACE TRANS FORM TO SOLVE THE FOLLOWING INITIAL-VALUE PROBLEM y'-y = 1 + tet 1 y (0) = 0

A: Solve the IVP, using Laplace transformation

Q: Consider the series £÷/ n=1 (a) Find the tenth partial sum, $10- (Round your answer to six decimal…

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Q: 36 6 10. Find the coefficient of x³6 in (x + x² + x³ + x² + x³ + x² + x² + x³) ³

A: To find the coefficient of the term x36 in the expansion of x+x2+x3+x4+x5+x6+x7+x85.

Q: I don't understand this question. Integral 1 to e; x(ln2)-1dx. This first step to the solution was…

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Q: Let be the relation defined on R by the condition that x - y if x³-y³ = 13(x - y). For example, 1-3,…

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Q: the particular solution for the non-homogeneous x" + x = csc² (t). equation varaho Parame.

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: pairwise co-prime and m = m₁m₂ mk. Then f(x) = 0 (m) has a solution if and only if each of the…

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Q: 65-68. Improper integrals Improper integrals arise in polar coordi- nates when the radial coordinate…

A: Evaluation of the double integral using conversation of polar coordinates

Q: Rewrite the triple integral a = 8₁(z) = h₁(y, z) = 1 X KK² K² b = f(x, y, z)dzdydx as 82(z) = ·b…

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Q: Compute the optimal rank-2 approximation of the symmetric matrix 6.25 -0.25 3.25 1.75 -0.25 6.25…

A: Given: The symmetric matrix, A=6.25-0.253.251.75-0.256.251.753.253.251.756.25-0.251.753.25-0.256.25…

Q: (c) Study the convergence of the following series Is it absolutely convergent? Σ n=1 (-1)"+1 2n +…

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Q: The payoff matrix and strategies P and Q (for the row and column players, respectively) are given.…

A: Since you have asked multiple question we will solve first question for you. If you want any…

Q: Lot fix-R be continuous, If X 13 compact, show that f is bounded and attany it's maximum and minimum…

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Q: Given that 1 1 − x =  ∞     n = 0xn, use term-by-term differentiation or integration to find a…

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Q: Without converting to decimals, what are 3 rational numbers between the fractions 7/8 and 8/9

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Q: The permutations p= p and q in Se have the two-line symbols 1 2 3 4 5 6 4 621 5 3 and q= 1 2345 1 5…

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Q: Determine the Hamming distance between the binary strings 011 010 001 and 001 010 010. 03 04 01 02

A: This is the question of coding theory.

Q: Determine the type of the rosette pattern given below. O Cannot be determined O Dihedral O Cyclic P

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