Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

Q: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D

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Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: Example 12.7. A company making cold drinks has two bottling plants located at towns T, and T. Each…

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Q: Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 2Q(x) (d) P(x)Q(x)– P(x)

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Q: 4. Let R be endowed with its standard topology. Let A be a topological subspace of R. a) Is {3} open…

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Q: Determine the four roots of – j625 in rectangular form. The final answer should be rounded-off to 2…

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Q: a. Use the long division for solve (x -7x-5x + 2) ÷ (x - 3). b. 30-5х Express as a partial fraction…

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Q: у"(С) — бу'(t) — 2y(€) = 4 cos 2t – 4t³; y(0) -2, y'(0) = = -

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Q: -1 if -2<x<-1 (a) Find the Fourier series of f(x)={ x if -1<x<1 , and f(x+4)= f(x) 1 if 1<x<2

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Q: Q6/ Solve the following payoff matrix to find the best strategies and the value of the game: (Use…

A: the solution is given by using graphical method. In this method we draw the lines and then find the…

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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A: We use the ILATE (Inverse, Logarithmic, Algebraic, Trignometric, Exponential) rule to evaluate the…

Q: 2 3. f(x) = es* – x² – 1 (Xi-1= 8)(x; = 5) (х-1 3D 8)(%; — 5)

A: F12=EXP(2*E12/3)-E12^2-1 H12=EXP(2*G12/3)-G12^2-1 I12=G12-H12*(G12-E12)/(H12-F12) Error=ABS(J12)…

Q: Answer the given system of linear equations using INVERSE OF A MATRIX (using Determinants).

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Q: I Example 10.18. Using Runge-Kutta method of fourth order, solve for y at x = 1.2, 1.4 dy. 2xy + e*…

A: Given y' =(2xy + e^x)/(x² + x e^x), initial point y(1)=0 To find y(1.2) and y(1.4)  Let step size h…

Q: For problems 3 & 4 find the arc length function for the given vector function. 3. F (t) = (f, 2r", 1…

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Q: f birth? (Use a calculator when necessary) day: month: year (two digits only): my birth date is…

A: To find the age when the date of birth is given as 2nd of  June 2001 We calculate the age from the…

Q: (b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature…

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Q: 5. Let f : [a, b)R and f(r) 2 0 for all r e la, b V(a) If f is integrable, show that f(z)dr 2 0. (b)…

A: 5. Given that f : a,b→ℝ and fx≥0 ∀x∈a,b   To show: (a)  ∫abfxdx≥0.                (b)  fx=0 ∀x∈a,b.…

Q: 3 (x2 За + 2) dx 2

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Q: Solve: dr = b (cos 0 dr + r sin 6 de)

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Q: NEED ASAPP PLS!! laplace{(t^4-5)^3}

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Q: Question 1 -1 if -2<x<-1 (a) Find the Fourier series of f(x)={ x if -1<x<1 , and f(x+4)= f(x) 1 if…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

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Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

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Q: Determine in polar form the three roots of -27V2+j27/2 O 32 44, 3V2, 3V2 O 3V2 2 , 3V2 , 32 none of…

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Q: I Simplify each of the following expression. (8!7!) 5!4! 7. 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: 7. Consider the given expression, 8!7!12! Use the formula n!=n×n-1×n-2×⋯×2×1,…

Q: £{3e * sin?t} 6. L{te 3t cos 2t}

A: To solve given question we use the property of Laplace transform and solve.

Q: O find othonormal bases: O x-2y-32 =0 W x+y+ 27=0

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Q: Determine if the events below are mutuall 1. Tossing a 4 or a number greater than 3 if one die is…

A: To determine if the events are mutually exclusive or not mutually exclusive: 1. Let Event A: Tossing…

Q: What

A: Given: Wave equation on the interval 0,2. To find: Two procedures for solving the wave equation.

Q: 9. A bottle of Calpis yogurt is removed from a refrigerator having temperature of 40°F. It is found…

A: Solution :-

Q: Solve: (2y cos x +sin x) dx = sin r dy O y csc r CoS 7 = ( O y sec a + sin r = C Oy csc a+ cos r Ov…

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Q: 25 Identify the conic (parabola, ellipse, or hyperbola) that the polar equation = represents. 6+5sin…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2.   We have to find the…

Q: Two groups of students are given a problem-solving test, and the results are compared. Mathematics…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: Given function and region is z=fx,y=xyR=x,y/1≤x≤7,5≤y≤9

Q: 7. The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the…

A: Given data A ladder slides a vertical wall at rate of 0.15 m/s  find the length of ladder = ?

Q: 3. х — + 6у %3D 3хуз dx

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Q: Example 10.20. Using Milne's method find y(4.4) given 5xy' + y2- 2 = 0 given y(4) = 1, y(4.1)% 3…

A: Given that 5xy'+y2-2=0 and xi 4 4.1 4.2 4.3 yi 1 1.0049 1.0097 1.0143 Find y4.4 using…

Q: 10. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: We have given,  There are 9 sophomores and 12 seniors We have to form a committee of 5 members   By…

Q: L Simplify each of the following expression. 7. (8!7!) 5!4! 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

A: To simplify each of the following expressions: 7. 8! 7!12! Here, '!' represents the factorial. Note:…

Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Write the KKT conditions and find the optimal solution (x,y) for the following problem. Minimise 2x…

A: Given that,                Mini     2x-y2+2ysubjected to     y=-3x,                           x≤1,…

Q: Express the system of differential equations in matrix notation x"-7x' +1'y- (tan t)x= 0 y" +2y"…

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Q: Examinee “A” in the C.E. Board Exam obtain scores of 80% in Design and Construction which weighted…

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Q: Let B be the basis of R? consisting of the vectors {}} and let C be the basis consisting of 3 Find a…

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Q: Q2. The horizontal distance that a projectile will travel in the air is given by the equation sin…

A: If sin x=y, then it can be written that x=sin-1y. The value of g is 9.8 ms2.

Q: х" - х' - 2х%3D sin3t

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Q: Example 10.32. Applying Euler's method to the differential equation dyldx = f(x, y), y(x = y,…

A: Please find step by step solution below: