-1 2 1. Solve X' 1.

Q: Let 5 Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

A:

Q: Solve the homogeneous system 3x1 + x2 + x3 + x4 5x1x2 + x3 x4 = = 0 0.

A:

Q: Given the following Simplex tableau for a maximization problem: #1 #2 81 82 P Tot 81 0 -0.2 1 -10…

A:

Q: If the gradient of f(x, y, z) at (1, 2, 3) is 2i – 2j +k, then the maximum value for a directional…

A:

Q: Find all possible homomorphisms form Z10 → Z4. Then find the kernel of each of these homomorphisms.

A:

Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve | This implicit curve actually is a function,…

A: Increasing function with bounded interval attains maximum at the right end point.

Q: H.W: Which of the sequences {a,} converge and which diverge: 2. an 1+- 1. a, = 2+(0.1)"

A: 1. Given sequence is  an = 2 + (0.1)n Here limn→∞an = limn→∞2+(0.1)n = 2 + 0 = 2 Which is unique and…

Q: onsider the functionf:R→Zgiven by the floor formulaf(x) =⌊x⌋.(a) (7 points) Isfinjective? Explain…

A:

Q: Mathematically prove that two sets of orthonormal bases in R2 tensored together form a new set of…

A:

Q: High school swimming state averages are as follows: Freestyle: mean time 72.39 seconds, standard…

A:

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = A e -0.0244t,…

A:

Q: Let a > 0, a € R, n 22, n € N. Consider first the complex function 1 f(z) = 2n + an a) Find all its…

A:

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information…

A:

Q: J Find the volume of each solid. (a) The solid under the surface z = 1-2² - y² and above the region…

A:

Q: QUESTION 2 Which of the following triple integrals evaluates the volume of a different region than…

A:

Q: Determine whether the relation R on the set of all real numbers is reflexive, symmetric,…

A:

Q: QUESTION 16 a)Find the order of ((1 2 3 4),7) in D₂XU (12). b) Find the order of (15,15) in Z20…

A:

Q: 19. inside /* = 5 sin and outside = 2+sin 0

A:

Q: Evaluate: limx→0+(x^2 + e^−x)^(x−1 csc x)

A: We have to find the value of  limit ;    limx→0+x2+e-xx-csc x

Q: Evaluate the line integral. L(4x – 8y) ds C:x + y = 100 (4x - 8y) ds = i |

A:

Q: Suppose G = (a) is a cyclic group of order 6. Find all the subgroups of G and list the elements in…

A: We have to find all the subgroups of G and list the elements in each of these subgroups.

Q: Find all the generators tof the subgroup H = (2) in Z24-

A: In any cyclic group of order n has phi(n) generators. We use this technique to solve the problem.…

Q: Solve the given ODE using the power series method. y' – xy = 0 -

A:

Q: Expand (x + 4)(x – 5) and use this answer to write down the quadratic equation in the form ax2 + bx…

A:

Q: 4. (Section 17.8) Use the Divergence Theorem to calculate [[F F-dS, where F = y + ryj – zk and S is…

A: To use the divergence theorem to calculate ∫∫SF⋅dS.

Q: Construct a model for the number of cats, y, after x months that make use of the following…

A:

Q: H.W solve by picard method (up to third approtination) c =X+y² y (0)=0 Find y (0-1)? dx aus/ "Y3…

A: Picard Iteration method :  yn(x)=y0+∫0xf[t,yn−1(t)]dt here we have f[x, y]=x+y2

Q: A bank features a savings account that has an annual 4.9% with interest compounded percentage rate…

A:

Q: * Evaluate. [6x² arcsin(x)]dx

A:

Q: Let R be the region bounded by y=sinz, y = 0 and 2 = with 0≤ ≤. Find the centroid of R.

A: Centroid bounded by the curves

Q: Show a segment that would measure 6 cm to the nearest centimeter but 6.5 cm to the nearest…

A: Solutions

Q: Stephano is renovating his apartment, which is at the  end of two corridors. The corridors of the…

A: It is a maximum distance calculation type  problem where we have to calculate distance of longest…

Q: 010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В…

A: Given that R1 and R2 be the relations on set A represented by the matrices…

Q: 4. On the graph below, sketch a function h(x) with the properties listed below. Briefly justify why…

A:

Q: A graph of y=f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: Note: If f(x) is decreasing, then the graph of f'(x) will be below the x-axis. If f(x) is…

Q: prove the ITT₂TT, ITKITI"

A:

Q: Solung line ar diffevential equations O-x(x-1)+(2-3)y = 2Y-1 %3D dl X

A:

Q: surface integral of a disk with a radius of 3 and looking for the area of one side of the disk

A:

Q: (a) A = Q = -1 -1 " -1 S D= 10 S T +

A:

Q: solve the folloing equitons (x2 – 4xy – 2y?) dx + (y2 + 4xy − 2x2) dy = 0 -

A:

Q: b. 11 feet 10 inches = d. 12 yards 2 feet = 18 yards 9 feet = 5 yards 2 feet = inches feet feet…

A: We want to convert the given units.

Q: 2x12 (1,1) (4,1) (4,2) (3,2) (2,2) (1,2) (3,4) (2,4) (1,4) (1,5) (4,5) (4,4) Question:  Create a…

A:

Q: A and B are two cities. N x B a) Measure the bearing of B from A. Ах b) Measure the bearing of A…

A: Solution:-

Q: 11. Which system of linear equations has the solution (2, 3)? A. 2x - 5y = 9 x-y = 4 C. 9x - 8y = 19…

A:

Q: In Exercises 7-26, a vector field F and a curve C are given. Eval- uate = [F. F. dr. 1

A:

Q: A harmonic wave is traveling aiong a rope. It is observed that the oscillator that generates the…

A:

Q: 1. Show that ||x|| , ||x||||x||₂ are vector norms. 2. Show that if x and y are two vectors, then…

A:

Q: Please show the progress of the following derivation (P = Q) = P E P Hint: ME (P = Q) = P МЕР for…

A:

Q: Use a proof by contradiction to prove the following: П For all 0 € R, if 0 1 2

A:

Q: 2. Let R and S be equivalence relations. Prove that RnS is an equivalence relation.

A: Let A be a non-empty set. A relation R on A is said to be equivalence relation if it is reflexive…