The standard form of a quadratic relation whose equation in vertex form is y = - (x - 2)^2 + 9, may be written as

Q: Solve a system using the Kramer method 2x + 3y -z = 5 4x + 4y - 3z = 3 -2x+3y-z = 1

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Q: Question # 1: Part: a:For given matrix A, find Col(A), Row(A) and Null(A). Also write the dimension…

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Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Fernando runs a restaurant that sells two kinds of desserts. Fernando knows the restaurant must make…

A: Please see the attachment

Q: " - 3 +1 - x+7 .2 م الاكم ح أن

A: We are given 6x+1=3x+3 to find the values of 2x+7

Q: Find the root of the equation + sinx = 0 using bisection X 2 method in the interval [1, 2.5] correct…

A: We have to find the root of the equation -x2+sinx=0 using the bisection method in the interval 1,2.5…

Q: B)Is w = Zez analytical function or not?

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: (B) Show that for any value of the arbitrary constant C the function xy(C-.x)=1 is a solution of the…

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Q: 2 [2D+5 2D + 31 D-2 ²D + ₂10²) = {²} 2

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Q: A car used 50 liters of gasoline and traveled a total distance of 350 km. The car's fuel efficiency…

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Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

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Q: Q1 find f'(x) using (forward finite difference formula ) at x = ½ for f(x) = sin x - e* with h= 0.1,…

A: Sol

Q: 5 -2 [x1] Given A=-2 6 2 and X=X₂ [x3] 2 7 show that XTAX = 27, suggest that 5X + 6X2+7X3-4X₁X₂ +…

A: Given A = 5-20-262027  and  X = x1x2x3

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: f L{f(t)} = y(s), then L{ƒ'(t)} = sy(s) + y(0) y(s) - y(0) s²y(s) sy(s) - y(0) خبار 2 الخيار رقم 1

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Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: Invert the Z-transform. X(z) z(2²-22-1) (2²-4z + 3)(z-2)

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Q: A plane flies a distance of 440 miles at a heading of N55W. How far North does the plane travel?…

A: We have to solve given Questions.

Q: B)Is w = Zez analytical function or not?

A: Given complex function is w = zez

Q: B)Is w = Zez analytical function or not?

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Q: Evaluate .f²fy dydx 175 3 175

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Q: Find the general solutions of the system. - 14 -9 0 x' = 1-8 0x 1 x(t) =

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Q: [1 31 2. Q2A)Matrix A = [₁ ,find Eigen values of A².

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Q: Solve the initial value problem below using the method of Laplace transforms. ty" - 5ty' + 5y = 25,…

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Q: Homework: Ho A strain of bacteria is placed into a petri dish at 30°C and allowed to grow. The…

A: Given: The data, Time(hours), x Population, y 0 0.16 2.5 0.31 3.5 0.44 4.5 0.58 6 0.82…

Q: n* +2n²+1 no +3 3. Test the convergence of the series an= Ex=1" O Converge O Diverge

A: Given series is an = ∑n=1∞n4+2n2+1n6+3

Q: Show that 18! ≡ -1 (mod 437).

A: We have to show that: 18!≡-1mod437

Q: 1. 0+3×3-3² + 10

A: Explanation of the answer is as follows

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) .…

A: Sol 1 .    f(x)*g(x) 2x-3-4x2+9Apply FOIL method:  a+bc+d=ac+ad+bc+bd2x-3-4x2+9=2x-4x2+2x·…

Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

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Q: III. Find the following: i) ii) iii) v) vi) Sets 1. Let U= the set of all nonnegative real numbers…

A: Let U = the set of all non negative real numbers less than 10 i.e., U = [0,10)  (Note that, as the…

Q: (4A)Find area bounded by y = 0, y =√x-x² using double integration.

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Q: QUESTION 5 A solid G bounded by parabolic cylinders y = x², x = y² and planes z = 1, z = 5. (i)…

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Q: y" (x) + 4y"(x) + 9y'(x) + 10y(x) = -24e*; when x = 0, y = 0, y'= -4, y" = 10

A: Properties of Laplace transformation…

Q: (7) Solve the PDE by Laplace Transform a²w aw <=100 +100 + 25w, ar² at w(x, 0) = 0 if x ≥ 0, we(x,…

A: The given P.D.E is                       ∂2w∂x2=100∂2w∂t2+100∂w∂t+25w,wx, 0=0 if x≥0, wtx, 0=0 if…

Q: 4. If A and B are ANY two sets with AB, determine the truth-values of the following statements. If a…

A: Let A and B be any two sets with  A⊆ B i.e., A is subset of B  Let p: (B\A) = Ø i.e., set of…

Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁)=0.12, P(E₂)=0.09, and…

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Q: Qn4. The formation of loop for optimal solutions in a transportation problem should End with minimum…

A: To find: the condition for formation of loop for optimal solutions in a transportation problem.

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: 3(6+4)2-5(17-20)2

A: 3(6+4)2-5(17-20)2=(18+12)2 - (85-100)2 ( since , multiplication is distributive over addition)…

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: 1) Given  f(x) = 2x - 3 g(x) = -4x2 + 9   f(x)*g(x)  = (2x - 3)*(-4x2 + 9)  = 2x*(-4x2 + 9) -3*(-4x2…

Q: Question 2 Find the area of shaded region bounded by 3y = x-3 and x = y² + 3.

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Q: Obtain the 5th term of the power series of sin(x) for a value of x = 4.55.

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Q: In the assignment problem, the optimal solution is arrived when: a. Number of rows less than number…

A: An assignment problem will have an optimal solution when the number of lines is equal to the sum of…