Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by = (3,0,0). b) For what value(s) of c (if any) can the equation ax + by = (3,0, c) be satisfied?

Q: prove with a table if x → y then xor y xor y = y

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Q. No. 1. Find two consecutive positive numbers such that sum of their squares is equal 221. Q.…

A:

Q: Find a general solution to (x+1)x²y" + xy - (r+1)³y=0.

A:

Q: Find the laplance transformation of the Fallowing function :- f(t) = Sint üil f(t) = e-¹ sint 000…

A:

Q: x² 1. Why must the function f(x)=√/25 - x² + have an abso- 8 lute maximum and an absolute minimum on…

A: Given: f(x)=25-x2+x28 To find: 1. Why must the given function have an absolute maximum and an…

Q: L = {w = {a,b}*||w| = 0 (mod 2) A the two middle letters are differnet}

A: Given : L=w∈a,b* w≡0 mod 2 ∧ the middle letters are different  To Prove :L= L(G)

Q: Suppose an n=1 IM8 IM IM8 Consider the two series n=1 - n=1 1 5n and bn ∞ n=1 an converges and an…

A:

Q: -> Let q: XS¹ be a continuous map where X is simply connected and let i: S¹ S¹ be the identity map.…

A:

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: dv/du = (u — v)² — 2(u — v) — 2.

A: We need to solve the Bernoulli differential equation: dvdu=u-v2-2u-v-2.

Q: 5. Let f(x,y) = x² + xy + y² be a function on the domain D = {(x,y) R²: x + y ≤8 and y ≥ 9}. a) Why…

A: Given fx, y=x2+xy+y2 Domain D=x, y∈R2; x4+y4≤8 and y≥9

Q: Define the gradient vector, and explain what it means. Come up with an example you're your own life,…

A: To find- Define the gradient vector and explain what it means. Come up with an example you're your…

Q: 4. The table of values below shows the rate of water consumption in gallons per hour at selected…

A: Here the partition into 5 sub-intervals will be (0, 2), (2, 5), (5, 7), (7, 11), (11, 12)  Now for…

Q: Question 4 Solve the differential equation (x + sin y) dx + (xcosy-2y)dy =0

A:

Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The given formula. To…

Q: zy a + For this actvity, find the matrix representation [7] for the linear transformation T: R³-R²…

A:

Q: 1. A furniture company makes TABLE and CHAIR.. The company has a maximum of 110 hours of labor and…

A: 1st we will find decision variables and then find LPP using those decision variables . Then solve…

Q: Use numerical integration with Ax = 1.0 m to locate the centroid of the surface generated by…

A: Given That : y=3x216 and ∆x=1.0 m To find : locate the centroid of the surface generated by…

Q: Question 2: In this problem, we consider the linear regression analysis of two independent variables…

A:

Q: Use the superposition principle to generate a graph of each function. i) y = f(x) + g(x) ii) y =…

A: To use superposition principle to generate graph of each function.

Q: Find the area of the region enclosed by y = 1.752 and x = 4-y². 1 2 -3 Q Use horizontal strips to…

A:

Q: Given a differential equation (3x²y + 2xy + y³) dx + (x² + y²) dy = 0. What is the Integrating…

A:

Q: A donur Store sells hom donuts without holes. For out of к boxes of donuts n donuts and donuts of…

A:

Q: Consider a linear time invariant system i = Ar, x(0) = [0, 1, 1] = R³ with 2 -1 1 A = 1 0 0 0 -2 -

A:

Q: Use zero-through second order Taylor series expansions to predict f(x/5) for f(x)=2sin(x)-cos(x)…

A: Note:- Taylor series for a function fx about x=a is Tnx =fa + f'a x-a + f''ax-a22!+......+fnax-ann!…

Q: Show that the following two conditions on a group G are equivalent: homomorphism p from G into Σ,…

A: We have to prove that the following two conditions on a group G are equivalent : (1) There is a…

Q: Compute the 35th percentile, the 55th percentile, Q₁, Q2, and Q3 for the following data. 14 26 28 11…

A: Sol:- P35 The percentile no. p is a value such that at least p percent of the observations is less…

Q: 5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂…

A: Part(a)

Q: 12. Given Bismuth-214 has a half-life of 20 minutes. What percent of the original amount is left…

A:

Q: 2. Complete the table of first differences, second differences, and/or first difference ratios to…

A:

Q: Question 2. For n ≥ 1 and x € R, let fn(2) = xn n + x²n and f(x) = f(x). Let r [0, 1) and sn (r) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: Solve the following system of linear equations: -4w + 16y - 24z = -8 -9w+x+42y - 61z = -22 8w + 4x -…

A: Sol:-- -4w+16y-24z=-8-9w+x+42y-61z=-228w+4x-15y+41z=78w-2x-35y+42z=15Arrange equation variables for…

Q: The table below shows the number of people, p, and suitcases, s, on 8 airplanes Linear Regression…

A:

Q: Question 1 Express the area below the curve y = x + 15 between 2 and 3 as an integral a= b= f(x) =…

A:

Q: Question Completion QUESTION B Use Polar Coordinates to find the volume of the given solid. Under…

A:

Q: 3 -4 One eigenvalue of the matrix A is A₁ - - 8. 33 -20 Find enough vectors to form a basis of the…

A:

Q: For the Linear Congruential method, assume the following parameters: X=23,947, a=2,902, c = 15,853…

A:

Q: Using the Laplace transform, compute the solution to the following equation: y" + 2y' + y = 2e-t…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: SOLVE BY LIMIT DEFINITION 3x+1 2-x a) limx-2+1 limx→

A: Solution

Q: For what values of p and q does the following series converge? Με n=2 1 nP(Inn)a

A: Consider the series ∑n=0∞1np The series is convergent if p>1. Note: ln n<n for n is a positive…

Q: 2. |x| = 11,|y| = 23, and |x - y = 30, determine the length of x + y. Include a diagram as a part of…

A:

Q: .If the complete graph if the function is shown, estimate the intervals where the function is…

A: Consider the given graph. 1 We have to find the increasing and decreasing interval. From the given…

Q: Professor Nowotny likes to cook. He cuts his potatoes into thin slices and fries them in a pan. He…

A:

Q: 3. Let A [1.1 -0.1] [0.3 0.7 0.7] Is matrix A invertible? How do you know?

A: An invertible matric is a matrix  for which matrix inversion operation exists . A matrix is said to…

Q: How many permutations of the letters "EXAM" are there? Discrete math

A: Introduction: Permutation is the different arrangements of certain number of objects. The…

Q: Estimate the instantaneous rate of change of ƒ(x)= = a) Ax b) 4 Ax = 20000 = 2 c) 4-0 Ax x x-2 at…

A:

Q: Q1. Derive the following formula for approximating the derivative f' and show that it is O(h) by…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The formula and O(h4)…

Q: 2) A fish is stuck in a water wheel that is rotating. A graph of its height (in metres) with respect…

A: (1) from the given graph, we get to complete one revolution of the wheel fish took 8 minutes. (2)…

Q: 3. Use double integral to find the volume of the cylinder-like object that exists above the first…

A: Given That: volume=∬zdAz=15r=5sin(2θ) To Find : volume of the cylinder-like object also sketch the…

Q: assigns each element in the domain to a unique element in the range.

A: