3. Find the local extrema of the given function =(x,y)=18y+x³+y2²- 6xy - 39x -3

Q: The function f from R to R is defined as f (x) = x²(x − 1), determine (a) whether f is one to one.…

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Q: Which of the following graphs are bipartite? 0 0 A. B. D. S H V N R U G J 0 V U F H

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Q: nt) The matrix -5 10 -5 10 0 -5 10 has two real eigenvalues, one of multiplicity 1 and one of…

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Q: (b) Suppose the raindrop accretes mass at rate dm/dt = bmv with b > 0. i) Show that the speed of the…

A: Given the equation of motion of mass accretion is mdvdt+vdmdt=F. (b) It is given that the rain drop…

Q: ) Find a vector parametric equation for the ellipse that lies on the plane z - (4x + 3y) = -2 and…

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Q: Consider r¹7 in Q[r]. (a) Find the splitting field E of over Q. (b) Compute [E : Q].

A: Given: x7-7 in ℚxTo find: a) Splitting field E of  x7-7 in ℚx              b) E:Q

Q: 4. An interpolating polynomial of degree 20 is to be used to approximate e-² on the interval [0,2].…

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Q: realizes that she hasn't reset her pedometer. From the Chupacabra Tr es along a bearing of N41°W…

A: Given that a hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead…

Q: The Fourier series of the function is given by where 11 co= T Сп and b₁ = 22 x(2n + 1)² (-1)". 11 11…

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Q: Sketch the image of A JKL under the similarity transformation composed of a size transformation…

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Q: Which of the following linear programming model has bounded feasible region? max z = 3x + 2y subject…

A: (a) Max z=3x+2y subjected to  x+y≤10x+2y≥2x≥0y≥0 Hence the model has bounded feasible region (b)…

Q: In 2000, mobile handset sales totaled $414.99 million. In 2005, the total was $778.75 million. Let M…

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Q: The Fourier sine series of the function is given by where f(x) = = (3x if 0<x< 3/3 3 if 3/3 ≤z <3 a…

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Q: Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix is A || 1400 -1…

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

Q: For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the…

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Q: a) After determining the total product cost of P100.00 per unit, Mr. Rick the owner, decided to set…

A: According to the guideline, only one question can be answered. Please repost other question…

Q: 4. Solve the two-point boundary-value problem Jy" + 2y' + 10x = 0, [y(0) = 1, y(1)=2 for y() and y()…

A: Given : The equations  y'' + 2y' + 10x = 0,y0 = 1,    y1 = 2   To solve : The two-point…

Q: A. Diagonalize it! Find all the eigenvalues and eigenvectors of 1 A = 1 1 1 1 1 Find two matrices…

A: The given problem is to find the eigenvalues and eigenvectors of the given matrix and find the two…

Q: B. Fun Subspaces Consider the following 3 x 4 matrix A and its Reduced Row Echelon form, denoted U.…

A: It is given that A=120101201201 and U=10-4101200000 is its Reduced Row Echelon form. 1. The…

Q: Consider the graph G : D O A. Which of the graphs below is isomorphic to G? B. ن H H C H V V G Y A U…

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Q: For a certain drug, the rate of reaction in appropriate units is given by 3 3 R'(t)= + 1+1 √t+1…

A: If rate of change of a function y=f(t) is y'=f'(t) then total function value from [a, b] is…

Q: A function is defined by f(x) = 2-12 for -7 ≤ x ≤ 7, x # -5. x+5 a) Find the range of f. b) Find an…

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Q: Given a vector field F= (-y,x,0), compute the following results: (You should use any integral…

A: The given vector function, F=-y,x,0. (a) To Find: ∇×F. (b) To Evaluate: ∬∇×F·ndS where S is the…

Q: State whether the given system is autonomous or nonautonomous and also whether it is homogeneous or…

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Q: Question: I need help with this Discrete Mathematics problem. Prove by induction that integers n> 9…

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Q: This will be (n+k-1)= 29+6-1 29 -¹1) = 34 29 = 278, 256.

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Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

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Q: Find the images of v and u under the composite of T₁ and T₂.

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Q: The left end of a rod of length I is held at temperature 130, and there is heat transfer from the…

A: Given: The left end of a rod of length L is held at temperature 130, and there is heat transfer from…

Q: 1. Consider the curve in parametric form x (t) = t³ - 3t y(t) = 3t²-9 a) Find the point(s) where the…

A: Slope of tangent line to any curve dydx For any parametric curve x(t) , y(t) dydx=dydtdxdt Note :…

Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

Q: d) Convert the following hexadecimal number to binary. DE4B7C29F e) Convert the following binary…

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Q: The ellipsoid and sphere 2x2 +52 +22-22808/441 2² + y² + 2² +32+2y-5z+2798/441 = 0 are tangent to…

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Q: Let a = ) 1 2 3 4 5 352 1 4 ) 3452 1 nine ßo a and 3-¹. Can you find an integer k such that ak is…

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Q: (7) Evaluate the following surface integrals (b) ff 2x²zdS where S is the surface x=u+v₁y=v², z =…

A: here we will use surface integral formula  ∫∫S   f(x,y ,z dS =∫∫Dfru,v  ru×rvdA

Q: Working directly from definitions, prove that if f, g, and h are real functions so that lim,-2 f(x)…

A: We have to prove that: If f, g, and h are real functions, so that limx→2fx=3, limx→2hx=3.And for all…

Q: K Consider the function f(x)=sin(x7). a. Differentiate the Taylor series afout 0 for f(x). b.…

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Q: f(n) (0) Write the first six terms of the Maclaurin series f(x) = E=0 n! Write the first six terms…

A: For writing first six terms of the following series we will put n=0,1,2,3,4,5 As follows

Q: 1. Show that (x+6)² - 3 = x² + x mod 11. Hence solve the equation 242 +231 = 2 mod 11, making clear…

A: To Show: x+62-3≡x2+x mod 11. Ans solve the equation, x42+x31≡2 mod 11

Q: Given the sets A and B below, prove or disprove each of the statements that follow. A = {n € Z | n =…

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Q: = Given that the matrix A has eigenvalues X₁ = 1 with corresponding eigenvector ₁ = = and X₂ = -4…

A: We use definition of eigenvalue and corresponding eigenvector of matrix A.

Q: S(curl F) · n dS  where F  =  4yz i  +  6x j  + 5yze x2 k  , S is the portion of the paraboloid  z…

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Q: Use the phase-plane method to show that the solution to the nonlinear second-order differential…

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Q: 3) For the argument given below, a valid conclusion can be drawn (however the valid conclusion is…

A: The given arguments are, No birds except ostriches are 9 feet tall. There are no birds in this…

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc+ Yp O a. 5x €² + €₂²³ +²² 12 O b. OC. -2x -X c₁₂e-²³ + C₂ e + -C₁e²-…

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Q: Consider the Boundary-Initial Value problem Jºu 25 Ər² u(0, t) = 0, u(3,t) = 0, t>0 du u(x,0) = x(3…

A: The given problem is to find the solution for the given boundary value problem with given initial…

Q: Let f: [- 54, 27] →→ R be the function with rule f(x) = x² + 27. State the range of f. Enter your…

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Q: lve the given nonhomogeneous linear ODE by variation of paramet efficients. Show the details of your…

A: The given differential equation is: x2d2ydx2-4xdydx+3y=x2sinx. We have to solve the given…

Q: From smallest to largest, the eigenvalues are A₁ <A₂ < X3 where X₁ 1₂ 5 X3 = Find the eigenvalues…

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Q: You owe $2300 on a credit card with 21% APR if you pay $80 a month, how long will it take you to pay…

A: Formula for the loan amortization is  A=Pi(1+i)n(1+i)n-1 where A=periodic payment P=loan amount…