What is the x-coordinate y = 2x + 1, x + y = 7, and x = 8? 05 7 8 ΝΑ of the centroid of the plane region bounded by 16

Q: Optimize z=f(x,y)=20×x×y-(x2+y2), subject to x+y=4 Do in 45 minutes to upvote

A: Optimization problem

Q: ** Airport B is 300 mi from airport A at a bearing N 50° E. A pilot wishing to fly from A to B…

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Q: (b) How will an increase of $1 in the hourly labor rate affect the total cost? The total cost will…

A: The current total cost is  80+0.3*27*27 +50*2- 27*2= 344.7

Q: 11) If f is a potential function for the vector field F = (-2y + 2xyz, -2x + x²z, x² y + 8z), then…

A: To find- If f is a potential function for the vector field F = -2y + 2xyz, -2x + x2z, x2y + 8z, then…

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A: The angle is little more than the straight angle. The measure of straight angle is 180°

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Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) r as the…

A: To find- SET-UP the definite integral that will give the area of the region specified using x as…

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Q: Use double integral to find the volume of the solid under the paraboloid z = x² + y² and above the…

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Q: 1 (a) Suppose you have toy blocks that are 1 inches, 2 inches, and 5 inches in height. Find a…

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Q: How long will it take to pay off a student loan of $20,000 if the interest paid on the principal is…

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Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: Determine convergence/ divergence. If result is convergence, find the li

A: 1) The given series is: ∑n=1∞416n2-8n-3 Consider the denominator of summand 16n2-8n-3. Factor the…

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A: Here we need to find wether given function is locally, globally lipschitz or not.

Q: 1. Use the power series 1 x+1 - Σ(-1)"-19"-1, n=1 to find a power series, centered at 0, of the…

A: The given power series with the sum is 1x+1=∑n=1∞-1n-1xn-1. The series is a geometric series and it…

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Q: 6. L~1{6(s+1)} a. 3t² +t³ b.3t³ + t² c. 6t² + t³ d. 6t³ + t²

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Q: 5. 5, 8, 17, 44, 125,... Find the recurrence formula for an, where n ≥ 1.

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Q: A company produces a special new type of TV. The company has fixed costs of $493,000, and it costs…

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Q: (b) If A is nonsingular, prove that adj(A) is nonsingular and adj(A)-¹ = adj(A-¹).

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Q: 1. Find the general solution of dy dx + y = x

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = ln(1 + x²).

A: Given function is  fx=ln1+x2

Q: 1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1…

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Q: Identify the graph of the function below: |f(x) = x, over the interval − < x < π and has period 2…

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Q: would you solve this?

A: Given,       f(x)=x2-x-20, and g(x)=x2-8x+15

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A: Ans: 180πm²sec Explanation: Area of circle = πr².......  A=πr²  ----------[1] Differentiating ....…

Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d. (s+3)³

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Q: Considering the matrix 1 A = -2 2 2-2 (a) What is the rank of A? (b) Find the SVD of A. (c) Find the…

A: As requested i have answered for part d and e.

Q: The rate of a continuous money flow starts at $700 and increases exponentially at 4% per year for 20…

A: Initial Amount (P0): $700 R = 4% = 0.04

Q: SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: (A)  area about x axis for intersection point y=y1-x2=x-1x2+x-2=0(x-1)(x+2) = 0so    x  = 1    and…

Q: 7. According to Pascal's triangle, what single in the form of this equivalent to expression t15,6 +…

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Q: swer in polar form where r> 0 and

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Q: xbe inner froduct x+y Lx_y ?

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Q: 2n+2 Σ (3k + 2n) = = k=0 = || ⠀ first step 2nd step 3rd step final answer

A: We know that 1+2+3+4+......+n is equal to n(n+1)/2

Q: Set up the triple integral that will give the following: a) the volume of R using cylindrical…

A: We will use relation between cartesian and cylindrical co ordinate system  x= rcosθ , y = r sinθ and…

Q: Let I = = {[x] x, y = R} and J = {[2] ZER} E Consider the ring homomorphism y: I → R defined as (a)…

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Q: 7. If a triangle is also called a complete 3- point, a quadrangle a complete 4-point, etc., then the…

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Q: 12. Determine whether each pair of graphs is isomorphic. If yes, then give a one-to-one…

A: In this question, the concept of isomorphism is applied.

Q: 5. L-1 wcose+ssine s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) }, w & 0 are…

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Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: Given the functions: f(x)=x²-5 g(x)=x-2 h(x)= 2x² - 6x+5 x-2 Algebraically, determine k(x) = x) = (…

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Q: f(x) = = x, over the interval - < x < and has period 27 f(x) [cos cosz+cos3z + cos 5 +... f(x)…

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Q: = ²/² (e ² + e²^²) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x =

A: We need to find Maclaurin series for the function , fx = cosh(x) We know that , cosh(x) = ex + e-x2…

Q: St-1,

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Q: (x² + 2)y" + 3xy' - y = 0 7 23-7 14 a. + 'x' y = a₁ [1 + ²x². b. y = a₁ [x+ ² x ³ - 4 4-4! 8.6! ·] +…

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Q: y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

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Q: Prove using proof of contradiction. Include explanation.   If n is an even integer, then 7n + 4 is…

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Q: Consider the following IVP: y''-3y'-10 y=1, y(0)=-1,y'(0)=2 (a) Find the Laplace transform of the…

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Q: Direction: Determine whether the given statement is a tautology, contradiction, or contingency.…

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Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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