Find y as a function of a if y(1)=2, y(1) = 1. y = r²y" + 7xy +9y = 25,

Q: Prove that x² +¸µ111² +21112 where prime denotes differentiation w.r.t.s. = 1 o² + 1+p¹² P

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Q: 8. Using Reduction to an equation whose Right Member is zero: (D² + D)y = −cosx

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Q: Let I be the flux of G = (4e³,9x³ex³,0) through the upper hemisphere S of the unit sphere. (a) Find…

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Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: A company manufactured two types of skis: Trick ski and Slalom ski. A table is given that represents…

Q: 8. Given f(x) = - 2 log₂ (6-2x) + 3 a) Determine the following information; show your calculations.…

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Q: (2) Carry out the first three iterations by using bisection method to find the root of C² 3r=0 on…

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Q: Prove that x² + y 111² + z 111² where prime denotes differentiation w.r.t.s. || 1 1+p¹2² p² p² o² +

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Q: What is wrong with the equation? [x³-²1₂-32 dx = O f(x) = x-³ is continuous on the interval [-2, 4]…

A: Given integral ∫-24x-3dx=x-2-2-24=332 We know Fundamental Theorem of Calculus 2 is applied for an…

Q: Evaluate the surface integral F ds for the given vector field F and the oriented surface S. In other…

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Q: QUESTION 2 y"-y'- 12y = 0 can be written using differential operator. Which of the following is…

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Q: Given: E is the midpoint of AB CE is extended its own length to D Prove: AEDB = AECA Picture: A.

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Q: (6) Consider the ODE equations. dt4 = 3y² + y y" +3y". Write it as a system of four first order…

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Q: In this whole worksheet, suppose n₁ = 3 and n₂ = 5. 1. Compute N = ₁+₂= Write out the list of…

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Q: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: 7. If log n² = 5, determine the value of log b³. Use laws of logarithms.

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Q: True or False? 1. The inverse of a symmetric matrix is also symmetric. Write a short explanation…

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Q: Solve each differential equation and find the value of y asked for.   A. y′ + xy = 3; y(4) = 2.…

A: We will solve the differential equation with initial bound and then find value of y for indicated…

Q: curve equations of principal normal and x = 4a cos³ 0, y = 4a sin³ 0, z = 3c cos 0. Find the…

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Q: Let (R, +,-) be a ring and a, b E R. Prove the following. *)If ab = -ba, then (a + b)² = a² + b².…

A: Ring and integral domain

Q: Solve it on paper!  f'(x)=e^-x (x-1) Part D: Let h be the function defined by h(x) = −2f(x)g(x).…

A: Define the function g(x) in the interval [-3 , 0]

Q: Find the orthogonal complement S+, and find the direct sum se st. -{8} (a) Find the orthogonal…

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Q: exercises:- A = (1 2), B = (1 :), C = (i !) Find the eigenvalues and eigenvectors?

A: Given: A=1112,   B=1-i-i0  C=0-i-i0

Q: Suppose that ƒ is a positive-valued function with lim supƒ(x) = L > 0. Prove x→a that lim inf=1-…

A: Given that f is a positive valued-valued function with lim supx→afx=L>0. We need to prove that…

Q: 1 The continuous function g, consisting of two line segments and a parabola, is defined on the…

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

Q: you wish to have $21,000 in 10 years. Use table 11-2 to create a new table factor, and then find how…

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Q: > 2 is a prime, then (12) Prove that if p and (1 2... p-1 p) generate Sp.

A: Solution:                  Let H=1,2,  1,2,3.....n  and H be the smallest subgroupcontaing them.Then…

Q: Find a power series for the function, centered at c. 1 f(x) = C = 3 8-x f(x) = 00 Σ n=0 X Determine…

A: We have to find the power series of the given function.

Q: N5

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Q: Make an original example on how calculate the surface area of a sphere and a pyramid. Topic is…

A: Consider a shape in a three-dimensional plane. The surface area is the quantity of space covered…

Q: A manufacturer estimates that if each shipment of raw materials contains z units, the total cost in…

A: There is a mistake in the part (b) question.  It's not 8000/x. It's 80000/x which is the term in…

Q: -5<x<0 0≤x≤1, ther (11, 1<x<5 If f is the Fourier series of g(x)=9x, f(x) = 0+ ]) cos (152) + (sin…

A: Given: gx=0,-5&lt;x&lt;09x,0≤x&lt;111,1≤x&lt;5 and f is the Fourier series of g(x). We have to find…

Q: Consider the system of equations A 00- what is the value of y? 0A2 where A is a 3 x 3 matrix with…

A: y= det A(2)/det(A)   This is what Cramer's rule says.   As per given values:

Q: • sin(lnx) X »f. - dx

A: The given problem is to evaluate the given integral sin(lnx)/x.

Q: sonia wants to have $11,000 in 8 years. use table 11-2 calculate how much she should invest now ( in…

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Q: The three points A = (1, 3), B = (3, 1) and C = (−2, −2) are taken as the vertices of a triangle T.…

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Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

Q: . Express the generating function of the sequence (c) in closed form where C = (r+1) 3+1. (r+2) for…

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Q: 1. Create code that produce compound proposition result for zyBooks section Exercise 1.2.2: Truth…

A: Given statements are as follows: p: It is windy. q: It is cold. r: It is raining.   We will convert…

Q: The problem y" + y'=0; y(n) = 0; y'(ñ) = 2; y'' (π) = -1 is a boundary value problem. True False

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

Q: Using Reduction to an equation whose Right Member is zero: (D² + D)y= == COSX

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Q: 12. Answer these questions about the rooted tree illustrated……. (a) Which vertex is the root? (b)…

A: For the given rooted tree we have to find: (a) The root vertex. (b) The leaves. (c) The children of…

Q: The differential equation: d'a +b+cx=0 has a solution given by: y = e* (A sin 6x + B cos ßx) where a…

A: The given problem is to find the values of A and B for the given solution of the differential…

Q: Create a spreadsheet similar to the the spreadsheet in Figure 6.1.1. Use your spreadsheet to find…

A: Create a table in Excel for mod(10n, 111) for 0 ≤ n ≤ 8. The formula in cell B4 is ‘=MOD(A4,111)’.

Q: 2. Find the four subspaces, including a basis of each, for the matrix (2² 7 -1 -2 4 -5 B= = 1 11 3…

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Q: Ga. Draw a direction field. b. Find the general solution of the given system of equations and…

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Q: k a S- ob-cx" dx

A: The given problem is to evaluate the given definite integral by using the first five terms of the…

Q: Prove that at the point of intersection of the surfaces x² + y² = 2², z = a tan` X where y = x tan…

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Q: b. r = 2 sin 0 c. r= d. r = 6 3+2 sin 0 1 1+2 cos 0

A: This is a problem of conic section.

Q: You have a balance of $9900 for your tuition on your American Express credit card. Assume that you…

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Q: .... Consider all permutations of the set {1, 2, n}. Prove that the average number of fixed elements…

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