Prove that for sets A, B (A) n (B) = (An B)¹

Q: Consider the four vectors in R4 2 -0-0-0-0 V3 = V1 = 2 1 2 3 = 2

A: The given vector is  v1=121-1, v2=024-2, v3=123-4, v4=-1012 We have to show that the given vectors…

Q: 3.7 Consider the linear algebraic equation 2 -3 -1 -1 3 2 HE] X =: y It has three equations and two…

A: This is a question of Linear Transformation.

Q: 3. Find the general solution of the following equations: 4t²y" (t) + 7ty' (t) − y(t) = 0, t > 0. y"…

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Q: Use d £f* g(t) dt = g(x) to verify that the indicated function is a solution of the given…

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Q: ↓ 1-3 3 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine…

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Q: The number of bacteria in a colony is shown in the following table. Number of Number of hours (h)…

A: We have to find the percentage of bacteria from the given data.

Q: Activity 10.2.5 The wind chill, as frequently reported, is a measure of how cold it feels outside…

A: The given table for wind chill is as follows   From single variable calculus for a function fx we…

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Question 4 Let P (x) be the predicate " can speak Esperanto", and let the domain D be all students…

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Q: (d) * + 6 + 58x = 116, x(0) = 0, (0) = 1

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Q: 18. 4x + y² = 12, x = y

A: We have to find the area of the given region.

Q: Use the given graph of f(x) = √√√x to find a number 8 such that if |x - 4| < 8 then |√x-2| 8 = y YA…

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Q: Q3: A) Solve: B) Solve: The differential equation: x³y + 3xy" + xy' +8y=1/ (x² + 3y2)dx-2xy dy

A: Note : As per our Guidelines we can solve first question as your both parts are not small. Please…

Q: 7y" + y' = 0

A: Solution

Q: c. Use your results to estimate the wind chill w(18,-10). (Recall from single variable calculus that…

A: As per the question we are given a data table regarding the wind chill w(v, T) at different wind…

Q: Problem 3. Determine whether the given linear equations are in standard form (a, x₁ + a₂ ·x₂ + az…

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Q: Evaluate each vertex ordered pair in the profit function. Which vertex yields the maximum profit?…

A: Let x be the number of pies that John makes. Let y be the number of cobblers that John makes.…

Q: A rectangular base pyramid is formed in the first octant as the region bounded by the coordinate…

A: Given that the region is bounded by the planes 2x+z=4---1, 2y+z=4---2,x=0,y=0. Put x=0 in (1) and…

Q: 8. Let P denote the path parametrized by r(t) : Compute fp F-dr, where F(x, y, z) = yz XZ xy+1…

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Q: 10. Find the solution of y(k+2) + 3y(k+1) + 2y(k) = 0 satisfying y(-1) = 0, y(0) = 1.

A: Given recurrence relation yk+2+3yk+1+2yk=0 with conditions y-1=0, y0=1

Q: In order to express the function y=13^20x+3 as a composition of two functions the outer of which is…

A: (a). Given that the function                                y=1320x+3.

Q: Q/ Use the hypothesis V= y and u=X To Solve the differential equation (2x+7) xdx (3X² + 2y_8) yd Y=o

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Q: h. Suppose you have yet another function h, and you know that h(2, 2) = 4, h₂(2, 2) 0. Using this…

A: As per the question we have a bivariate function h(x,y), and we know that h(2, 2) = 4   ,   hx (2,…

Q: Solve for x. 4x - 5 10 6 15

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Q: Find the matrix of the quadratic form associated with the quadratic equation 3x2 − 16xy + 3y2 − 13 =…

A: The given quadratic equation is 3x2-16xy+3y2-13=0. We have to find a matrix.

Q: Suppose a 31 x 42 coefficient matrix for a linear system has thirty-one pivot columns. a. Is the…

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Q: Q1 Use the hypothesis V= y² and U=X To Solve the differential. equation (2x²+²-7) x dx (3X² +…

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Q: (d) V (V. u) (e) V. (V xu) where p = x²x2x3 + x² and u = x1x2x3е₁ + x1x²ẹ₂ + x²x3 €3

A: According to our guidelines as you mention part d and e, so we solve d and e part for you.

Q: Use the given graph of f(x)=√x to find a number & such that if |x4| < 8 then √x -2 < 0.4. 8 = 5.76 y…

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Q: Let C = f(A) be the cost, in dollars, of building a store of area A square feet. In terms of cost…

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Q: c) Find the product solutions for the differential equation Uxx + a²u = 0 using separation of…

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Q: Simplify (55-68)(mod 3). (55 - 68)(mod 3) = (mod 3)

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Q: 5. Newton's Law of Cooling states that an object will cool down (or heat up) at a rate proportional…

A: ( a ) Newton's cooling Law : The rate of change of the temperature of a body is proportional to the…

Q: Please answer 13

A: Given: The system of linear equations is given by:           x1-3x3=82x1+2x2+9x3=7x2+5x3=-2 To find:…

Q: Write the augmented matrix corresponding to the system of equations. 2x  −  8y  =  6 8x  +  y  =  3

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Q: mathematically as dy dt' = ay dt Population growth is commonly modeled upon the simple statement…

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Q: The base-10 equivalent of (0.1000) is

A: We have to change the given binary numbers to decimal number.

Q: Differentiate between bounded and unbounded distribution?

A: Differentiate between bounded and unbounded distribution.

Q: Complete the description of the piecewise function graphed below. 64 5 4 { f(x) = { 3-2-1 1 1 2 7 5…

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Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

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Q: Write the system of equations corresponding to the augmented matrix. (Use x, y, and z as your…

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Q: 4) Average annual premiums for employer-sponsored family health insurance policies more than doubled…

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Q: b)Find the equation of the circle which passes through (1, 0) and (0, 1 and has its radius as small…

A: (a)Let x1,x2 and y1,y2 be the roots of x2+2ax-b2=0 and x2+2px-q2=0,respectively.then,…

Q: calculate the volume of the shape obtained by rotating the region bound by f(x)=x/4 and g(x)=…

A: calculate the volume of the shape obtained by rotating the region bound by f(x)=x/4 and g(x)=…

Q: hand written

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Q: Draw Cay({2, 3}:Z6). Is there a Hamiltonian circuit in this digraph?

A: Given: Cay2, 3:Z6We need to draw the Cayley digraph and check if there is a Hamiltonian circuit in…

Q: Suyín has 40 pennies and 100 nickels. She wants to place them all in stacks so that each stack has…

A: She wants to put them all in stacks with same number of coins    And each stack has only one…

Q: n 1994 a US federal law went into affect that required all new residential toilets to be a low flow…

A: Given :  In older toilets amount of water used in 1 flush is 5 gallons.     In new low flush toilets…

Q: Find the general solution of the linear system whose augmented matrix is the following. 1 0 4 0 0 9…

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Q: (a) If the abscissa and ordinates of two points P and Q are the roots of the equations x² + 2ax − b²…

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