Evaluate the double integral (x-5 y) dA es A(0,0), B(2,-1), C(3, 0). Draw the region D.

Q: . Determine whether the mapping T : R → R³ defined by X1 2x1 + 3x4 – 1 X2 T x2 + 5x3 X3 X4 is a line...

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Q: When the unit price of a designer bag is $700 the quantity demanded is 4500 per month. When there is...

A: Linear function of x can be given by  y= ax +b where a and b are constant 

Q: (b) Show that 1 11 2 k(k + 2)(k + 4) 96 k=1

A: Given series is ∑k=1∞1kk+2k+4

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A: We have to find minimal polynomial of given matrices.

Q: エf ; え indepenelan Cordinaken Cou of a point, Show that,

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Q: For A = show that the mapping ada : M2 (R) → M2 (R) defined by ad4 (B) = 1 AB – BĀ is a linear trans...

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Q: -41 Find the adjoint matrix of ": A. -2 C. 4 21 -2 В. 4 B.) [2 4 D. 01 -1

A: Given matrix is 1-402

Q: asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 0, æ3 < ...

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Q: 4. Find the product of z1 = -8+3i and z2 = 6-9i in polar form %3D

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Q: In Exercises 1 through 24, determine whether the series is convergent or divergent by applying eithe...

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Q: Use ONLY the laws of logic and propositional equivalence - (p → q) → ¬9 is a tautology

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Q: A shop owner offered 20% discount off the regular price of a mirror. The amount of the discount is $...

A: We have to find the regular price of the mirror.

Q: Specifically, expression of Wk from the critical point w we solve for each coefficient Wk (1 <k s M)...

A: The complete solution of (a) is in  given below

Q: Q2: use Newton-Raphson Method to solve 2sinx x (x 2)

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is def...

Q: 1. Show that if & is a function from a nonempty compact metric space X to itself such that d(@(x), P...

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Q: Maximize f(x, y) = / 18 – x2 - y2, x + y – 2 = 0. %3D

A: We will use the Lagrange Multiplier to maximize f(x,y)=18-x2-y2.........(1)x+y-2=0    ........(2)

Q: 1. Which of the graphs below is a tree? Why? (c)

A: A tree is a graph in which two vertices are connected by exactly one path.

Q: The intal tablea of a inear programming problem is given. Use the simplex mehod to solve the protiem...

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Q: or which the fu E, where z = x+ W

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Q: Use an Euler diagram to determine whether the argument is valid or invalid. All snakes are poisonous...

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Q: Let G = D10 × Z/7Z, where, as usual, D10 = (a, b | a5 = b² = e, ba = a*b) Let H ((b, 1)) and K = D10...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts fory...

Q: If x is even and y is odd, show that (x + y)? is odd.

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Q: (iii) List the order of the vertices of the given tree if it follows (A) inorder traversal. (B) preo...

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Q: Find the solution and define The interval at which function is değine 2. dx

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Q: Use a truth table to determine if the following symbolic form of an argument is valid or invalid. -p...

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Q: Evaluate / = Izl?dz, where C is x(t) = t?, y(t) = , t:2 -1

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. Cx² + x + y = 0 2. y =...

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Q: function with form y = ax

A: Given,  A power function y=axp passes through the points 3,781 and 6,71296. The equation of power fu...

Q: dy tan (x+ y) dx dy = 2 + Vy - 2x + 3 dx

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Q: Evaluate the value of v-10 x V-7. A. imaginary B. -V70 C. V70 D. undefined

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Q: 5. Let T : R3 → R³ be a linear transformation, given by 0 1 1 1 0 1 1 1 0 T(v) = V. (a) Show that T ...

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Q: A collector of football trading cards paid $6 for a 1984 Dan Marino rookie card several years ago. I...

A: Given a collector of football trading cards paid $6 for a 1984 Dan Marino rookie card several years ...

Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that...

Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

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Q: 5. For n E N, let fn:X → R such that o # X c R. If each fn is continuous on X but f:X → R is not, th...

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Q: Consider the function f(r, y) whose contour graph is pictured below: -10 10 15 425 Determine the sig...

A: We are given the following contour graph. Here, we need to determine the signs of fx(P), fy(P), fyy...

Q: f (t) = 3u(t) + 8(t – 2) + 8(t – 5) – u(t – 7)

A: Given function is  f(t) = 3u(t) + δ(t-2) + δ(t-5) - u(t-7)

Q: (a) Identifying whether a function is a convex function is useful because a convex function's local ...

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Q: Evaluate the following definite integral ,-(s-2)t sin(3t) dt. 3 2 (8 – 2)2 + 9 (8 – 3)2 + 4 - - O 1....

A: Properties of Laplace transform  Lf(t)=∫0∞e-stf(t)dt Leatsinbt=b(s-a)2+b2 Lsinat=as2+a2

Q: メ-しリ ニ X² ty2

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Q: p(1) 3. Let T : P3 → R³ be defined by T (p(x)) = p(2) p(3) Show that T is a linear transfor- mation,...

A:  First we show that T is a linear transformation. We know that  if U and V are vector spaces over th...

Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

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Q: 1. Use the Gauss forward formula with xo = 2.0,h = 0.15, n = 7 to find an estimate for f(2.5) if %3D...

A: We can solve this by using Gauss forward formula

Q: Evaluate cot-(1 – i) C. 0.3329 + 0.6014i D. 0.4287 + 0.2501i A. 0.7189 + 0.1128i B. 0.5536 + 0.4024i

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Q: Given that F[f (t)] =(j /@)(e¯J® – 1), find the Fourier transforms of: (a) x(1) =f(1) + 3 (b) v(1) =...

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first ...

Q: Solve the system of linear equations using Gaussian elimination with back-substitution. Do not use a...

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Q: Solve by Mathematical Incluction that all n2l.

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Q: Q.1 A mother wants to save $4000 bimonthly in a financial institution, which pays her interest at a ...

A: We have given that, P = $4000   ,  r = 9% = 9100 = 0.09  , n = 6 , since compounded bimonthly and t ...

Q: w Bw 5. Consider the generalized Rayleigh quotient R where A and B are positive %3D w Aw de finite s...

A: Given: The generalized Rayleigh quotient, Rg=wTBwwTAw Here, A and B are positive definite symmetric ...

Q: 2x^2 + 5x = 25 + 25i, determine the imaginary part. Express your answer in 4 decimal places.

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