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Q: s) Evaluate lim 2-0 2 cos (22³)-2+42° 3x12 using Maclaurin series.

A: We know, Maclaurin series for cos(x) is given by      cos(u) = 1 - u2/2! + u4/4! - u6/6! + . . . . .…

Q: a. Prepare a forecast of sales for each day, starting with F 1=85 and a= .2. b. Compute the MAD and…

A: From given data we have : Turkeys Sold Monday 80 Tuesday 53 Wednesday 65 Thursday 43 Friday 85…

Q: Evaluate the surface integral. x dS, S is the triangular region with vertices (1, 0, 0), (0, –2, 0),…

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Q: 4. Let r(t) = (t)i + (t-16t²) ; be the position of a particle in a plane at time t. Find the angle…

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Q: 4. Find the surface area for the triangular prism below. 9m 10 m 24 m 780 m2 1740 m2 805 m2 O 546 m2

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Q: The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 minutes. 17…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: 6. What is the remainder when P(x) = 15x100-10x0 +5x'- is divided by x+1 %3D a) -1 b) 1 c) 0 d) 9 e)…

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Q: Suppose that the number of Facebook friends users have is normally distributed with a mean of 146…

A: Mean(µ) = 146Standard deviations (σ) = 44 X ~ N (µ, σ )= N (146, 44) n = 47 Mean= µx̅ = µ = 146 σx̅…

Q: The function f(x) = – 2x + 33x² – 168x + 7 has one local minimum and one local maximum. This…

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Q: Evaluate the surface integral. x²z² ds S is the part of the cone z² = x2 + y2 that lies between the…

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Q: a) Explain what it means, by definition, that a polynomial m(x) € P(R) is the minimal poly- nomial…

A: Definition Let  be a A*A matrix. An annihilating polynomial  (i.e., such that m(x)=0) is called a…

Q: Show that the formula gives the decomposition odd function. e* = cosh(x) + sinh(x) of the function…

A: Even function: Let fx is the real-valued function, where x is the real number, then, fx is an even…

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

A: Given Fx,y,z=x i+5y j+3z k Surface S is the cube with vertices ±1, ±1, ±1 Using Gauss's divergence…

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Sz+1 True/False: Domain restrictions and excluded values for are = 15. 2-25 O False O True

A: Given,  5x+2x2-25

Q: Evaluate the surface integral. I. (2z + v²z) ds S is the hemisphere x2 + y2 + z2 = 4, z 2 0 %3D

A: The objective is to evaluate the surface integral,  ∫∫Sx2z+y2zdS where S is the hemisphere…

Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

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Q: Solve the following system of equation, using Gauss Elimination Method: 5x-3y+2x=3 2x+4y=z=7…

A: To solve the following system of equation, by using Gauss Elimination…

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

A: The S is composed of the surface in the paraboloid in the form y=g(x,z) f(x,y,z)=y-g(x,z)=y-x2-y2…

Q: Differentiate the function. y = (4x-11)2

A: Chain Rule of differentiation : dydx=dydu·dudx

Q: 2. The differential equation for free motion of a spring-mass-damper system is: d?x dx + 2y +kx= 0…

A: Given: Let us consider the given differential equation, d2xdt2+2γdxdt+k2x=0 where…

Q: Given f(x) is the red graph and g(x) is the blue graph. fro) -2 Find the following values: f(4):…

A: Given graph f(x) and g(x).

Q: Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells 20% of…

A: For the given data, find (a) Construct the exchange table (b) equilibrium price for this economy

Q: 1. b (s+a)²+6² where a and b are constants.

A: Let, f(s) = bs+a2 + b2 We will find out ∫cf(s)ds   by using Cauchy Residue theorem ,where c is a…