combinatorics

Q: Find the cross product a x b. a=i-j-k, b=¹i+j+½ k Verify that it is orthogonal to both a and b. (a x…

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Q: answers were incorrect exept for 5000

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Q: The price of a home is $140,000. The bank requires a 15% down payment. The buyer is offered two…

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Q: A QR-decomposition of A is given. Use it to find the least squares solution of Ax = b. = 12 1 √58…

A: A QR decomposition of A is given. A=3171=358758758-3585810580458. Using this we have to find the…

Q: 6. y" + 6y' +9y = - 5e²x Find: a) Homogeneous solution b) Particular solution c) Total general…

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Q: 2. Show that Q√3 = {a+b√3|a, b = Q} is a field by verifying the field axioms one by one.

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Q: By inspection, find all least residues r modulo 7 that satisfy r2 = -5(mod 7).

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Q: [x'= x³ + xy - 196x y=y²-x²y - 98y A) Find all the equilibia of the system for which x ≥ 0 and y ≥0…

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Q: graph without isolated vertices (all vertices mus

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Q: 4. The region bounded by 2 = y(y − 1) and y

A: The given bounded region is x=yy-1 and y=x3. We have to find the area of the bounded region.

Q: 2 2 2 Find the volume of the solid cut from the thick-walled cylinder 4 ≤x². +y² ≤6 by the cones z=…

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Q: The locus of the foot of the perpendicular from the centre of the hyperbola xy = c² on a variable…

A: Given hyperbola equation is  xy = c2 The parametric form of this hyperbola is  x = c t  and   y =…

Q: 1 Circles

A: To Setup: Integrals for the area of the shaded region in both figures.

Q: Translate thirty-eight percent of some number

A: Let x be a real number.  Then y% of x is (y/100) × x Example: Let x =75 and y=15 Then 15% of 75 =…

Q: dw dt w = In (√x² + y² + 2²). x = 2 sin(t), y = 5 cos(t), z = 7 tan(t) Use the chain rule to find

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Q: A. Find the coefficients of the following derivative fi" = ci-fi-1+cifi + C₁+1fi+1

A: Given: Let consider the given function, fi''=ci-1 fi-1+ci fi +ci+1 fi+1 We have to find its…

Q: f(x, y, z)=1/√√√x² + y² + z² P(-1,2,2) = -3i+27-3k

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Q: Consider the function f(x, y, z) = xy + y² + 2². (a) What is the gradient grad f of f, and what is…

A: Introduction: The gradient of a function is called a gradient field. A (continuous) gradient field…

Q: A document concerning a unicorn contains the following axioms. • If the unicorn is mythical, then it…

A: Introduction: The deduction is a method of reasoning in which one starts with general premises or…

Q: (a) Prove that (un)neN is a strictly decreasing sequence.

A: Ok

Q: Let f be a continuous function with domain R. Assume fis POSITIVE and DECREASING. Assume lim f(z) =…

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Q: following, find the partial derivatives 3.) In each case dw/dx, aw/dy. 2 x² + y² gw= aj w = xé bj w=…

A: Solving for the first 3 problems a,b,c as the student instructed. The given problem is to find the…

Q: Suppose V is a vector space of finite dimension k and T : V → V is a linear transformation. Suppose…

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Q: Rainbow trout from the Spokane River in Washington State were measured. The length of the fish, L,…

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Q: Find the general solution for the system: y₁ = 3y₁ + y₂ y₂ = y₁ + 3y₂

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Q: Where do the absolute minimum and absolute maximum occur?

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Q: 5. The graph of a function is shown together with the tangent line at a point P. y 10 9 8 7 5 3…

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Q: The shaded region shown below is bounded by the functions f(x) =−x² +0.5x + 9 and g(x) = −1.25x + 8…

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Q: у еху exy log (x² + y²) داره dj w = x/y e.J cos (ye *y) sin X W = COS

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Q: The 238000-lb space-shuttle orbiter touches down at about 233 mi/hr. At 198 mi/hr its drag parachute…

A: The 238000-lb space-shuttle arbiter touches down at about 233 mi/hr. At 198 mi/hr its drag parachute…

Q: Drag the expressions into the boxes to correctly complete the table. Polynomial +3-2-1 √√√x+4√x - 8x…

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Q: 3. Consider the function where x = (a) (b) (1 – y) −¹. z = x² - e5xy + y √1. +1³, Find the partial…

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Q: Find the volume of the solid generated by revolving the infinite region in the first quadrant…

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Q: The parametrization of the plane curve x+ + y` - x±y = 0,x = t - tº, y = t± - t4 was derived in…

A: Parametrization is such that by involving just one parameter we can easily express all the variables…

Q: Determine whether the following individual events are overlapping or non-overlapping. Then find the…

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Q: Determine all of the values of x for which the following series converges. Choose the best answer.…

A: I have explained everything with in the solution. Please go through that.

Q: - Describing Transformations Suppose the graph of f is given. Describe how the graph of each…

A: The objective is to describe the graph of each function that can be obtained from the graph of f.…

Q: Find the mass M of an object in the shape of a cube of edge 6 if its mass density is proportional to…

A: Given that: The side is 6. The density is a proportional square of the distance, To find the mass…

Q: f(x, y, z) = exyz, g(t) = (8t, 3t², t³) Vf = g' = (fog)'(1) =

A: The given functions, fx, y, z=exyz, gt=8t, 3t2, t3. To find the value of ∇f, g', and f∘g'1.

Q: For the vector v = , find a unit vector in the same direction as the vector v

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Q: Given a graph below, V₁ e e2 e3 V3 V2 e4 how many distinct walks of length 2 connect v₂ and v₂?

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Q: what is the maximum possible length of the repeating section of the decimal representation of 593…

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Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

A: Volume bounded by the terahydron

Q: Let A be the matrix below and define a transformation T:R³ R³ by T(U) = AU. For each of the vectors…

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Q: Prove that for every integer n where n is greater than or equal to 2, P (n, n) = P (n, n − 1). • Use…

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Q: (3) What do you think is the formula for S₂? (You might need to use some... in your formula.) (4)…

A: We are given  S1=a, S2=PS1=ϕ,a, S3=PS2=PPS1. To find Sn and to prove it using induction process.

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on…

A: Given Data: Let us consider the given thick spherical shell between two spheres of radii a,2a both…

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

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Q: (st+s +₂+) +₂0 = (+)+ 2 th

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Q: How many integers must you pick in order to be sure that at least two of them have the same…

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