1. Members of a high school choir want to attend a national contest. After a sign-up, the choir director stated that the trip will cost $400 per choir member plus a $1500 fee for the choir to participate.

Q: Let A(x) represent the area bounded by the graph, the = 0 and t = x horizontal axis, and the…

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Q: 1. Find a reduced residue system (mod 20) and give (20). J. 201 +(201

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Q: Consider the family of curves: y² - 2x² = cy. A) Describe this family geometrically (e.g., "circles…

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Q: Question 6 A vector field is given by F(r) = zî+x+yk, and a paraboloid is given by S = {(x, y, z)…

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Q: ● By power Series method, Solve the following ODES & 2 X xý -(x+2) y = -2x² - 2x Ans: y=c₂x²e +2×

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Q: Question No: 2 of 26 Let p be the statement "you study" and q be the statement " you pass the…

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Q: ´y′ − (t + 2ty) = 0, - e²² y(0) = 1

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Q: 4. Solve the partial differential equation (D² - DD' -2D2)z = (2x²+xy-y²) sin(xy) - cos(xy).…

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Q: (a) y || 8 x = 2, y = 0; (b) y = 7-x², y = 3; about the line x = -2. about the x-axis.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ſ(−12xy² + 8x³y + 3)dxdy

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Q: Use the method of undetermined coefficients to find a general solution to the system x' (t) = Ax(t)…

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Q: Find the remainder in the Taylor series centered at the point a for the following function. Then…

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Q: Minimize: Z = 3X₁ + 5X₂ + 5X3 + 4X Subject to: 8X₁ + 2X4 ≤ 100 4X2 + 3X3 = 90 X₁ > Q

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Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+C₁e-ax using 2…

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Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 4

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Q: Question: (additive) onder Let abilian grup mm, Libre (min). G - {8EG₂₁ cocher (8) Im] and G₁ = [ht…

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Q: 2 Solve the following ODES by Inverse Operator me the (B²+1) y = ³²5 x

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Q: 5. Vn EN, Prove the following by mathematical induction. Σ(2n-1)² = n(2n − 1)(2n +1) 3 i=1

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Q: Let x(k) = ku(k) h(k) = {0, ( 1, 0≤ k ≤ 4 elsewhere Let N = 11. (a) Plot x(k) for 0 ≤ k ≤ N-1. (b)…

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Q: 2. Given S = > 0-0000-0 c) Find the standard matrix of the lincar transformation T given in part b).…

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Q: 22n Evaluate the following expression: logm m² On O2n On² Omn

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Q: Let {₁,..., wk, Wk+1,...,n} be a basis of R" and c₁,...,CER be nonzero scalars. (a) Prove that S =…

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Q: Consider the data set below: 35,24,25,38,31,20,26,28 Which of the following box-and-whiskers plots…

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Q: 3. If fave [p,q] denotes the average value of f on the interval [p,q] and p<k<q, show that fone…

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Q: Q2) Evaluate the following integral (use Integration by Parts) cos³ u+5 Su².- 1-sin² u du

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Q: a [Pn (cos 0) | дz rN+1 = −(n+1) Pn+1(cos 0 rn+2

A: To prove that           ∂∂zPn(cosθ)rn+1=-(n+1)Pn+1cosθrn+2

Q: Q.5 Solve the wave equation: U₁=Uxx-ex-6x, U(0,1)=8, Ux(1,1)=3, U(x,0)=4sin ³x+ex+x³-ex+7 **********

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Q: Consider the following initial value problem 2 x(0) = [ ² ], where x = 1. dx dt 81. (a) Calculate…

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Q: Graph Function Details Degree of function: Zeroes and possible multiplicities: y-intercept: Leading…

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Q: Show your complete step-by-step solution. Differential Equation: 2ss" + (s')² = 0 General Solution:…

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Q: Show that xp-yq=z and x^2p+q=xz are compatible and solve them

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Q: use the biomal series (x + 1)k = 1 + kx + or || < 1 to approximate [¹ k(k − 1) 2! -x² + k(k-1)(k −…

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Q: Problem 2 Determine the 4th order Newton's divided-difference interpolating polynomial for the…

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Q: Find the Wronskian of the given pair of functions: X O x² et O xet i, xet

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Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A A = x(t) = T 2 9 5 9

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Q: dx dt dy dt = x + 8y + e-t = x - y + tet

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Q: 55 Z 230 Y 380 X

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Q: Define the binary operator @ by: a@b= 8b Find each of the following: d. g@k=

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Q: Solve the following CDES by variation of parameters method: y" + 5y' + 4y = x²e²x

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