1. a. How do you add two vectors a and b geometrically? Illustrate using the two diagrams. (Hint: Apply two different laws.) ہے b A B b. How do you add two vectors a and b algebraically? b

Q: For what value of m, the vector (m,3,1) a  linear combination of e\index{1}=(3,2,1) and…

A: We have to find the value of 'm' such that  is a linear combination of Assume

Q: uppose you are studying the growth of a bacteria population and you notice the rate of change of the…

A: Assume Population of the bacteria at time t be P(t).The rate of change of population is equal to 3…

Q: Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y², defined on the disc D = (Use…

A:

Q: 500 (p+3)³ For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 5, stating…

A:

Q: ƒ(x) = x² − 4x³

A: Inflection point: A point where the real valued function has neither maxima nor minimais called the…

Q: Sketch the graph of the function. (Include two full periods.) y = tan T IN N TEX 4 14 Head it 2 414…

A:

Q: Solve the given initial-value problem. y" + 4y = -1, y(π/8) -3/44 4' y(x) = y'(π/8)= = 2

A:

Q: 15. If A, B and C are sets, then (AnB)-C=(A-C)n(B-C). m

A:

Q: State the linear programming problem in mathematical terms, identifying the objective function and…

A: There are products A and Bprofit on product A = 7 $profit on product B = 6 $Total profit = 7A + 6B

Q: -2 -3 2 8 2 16 -8 -2 -3 -1 -12 -4 2 3 A = 2 -2 -2 -2 2 1 -1 -1 -1 2477 T a) Find an orthogonal basis…

A: It is very lengthy question so I'm unable to do in limited time so We  shall do the first part only,…

Q: K Find the area of the shaded region under the standard normal curve. If convenient, use technology…

A: The normal distribution is defined by the probability density function f(x) for the continuous…

Q: (a) When F = R, determine the number of equivalent classes of symmetric bilinear forms on V. (This…

A:

Q: Therefore, the auxiliary equation is a third-degree polynomial, which can be factored as follows. m³…

A: Note that -4 appears twice and 0 only once.

Q: 2 5 Let y = [?], "-[-³s] u= -5 orthogonal to u. a. b. G d. NOT NIGT NIN NÍN NIGT NIW NIO NIW + + +…

A: We have to find:Write y as a sum of two orthogonal vectors, one in span {u} and one orthogonal to…

Q: Recall that with​ base-ten blocks: 1 long=10 ​units, 1 flat=10 ​longs, and 1 block=10 flats. What is…

A: Recall that with​ base-ten blocks: 1 long=10 ​units, 1 flat=10 ​longs, and 1 block=10 flats. What is…

Q: 3x + 4y + z = 10 2x - 3y + 5z +9=0 x+2y-z = 6

A: Given system of linear equationsAugmented matrix

Q: The values of a period 2 function f(t) in one full period are given. Sketch several periods of its…

A:

Q: Q2: Solve the D.E 4y" - y = xex/2 by variation parameters.

A:

Q: Question 1.1. a,b € ZaZ=bZ 1a = ±b.

A:

Q: The Galois group of x\power{n}-1 over any field of   characteristic zero is abelian.

A:

Q: Set up the iterated integral for evaluating fr.0.2 (r,0,z)dz r dr de over the region D, where D is…

A: The solid right cylinder whose base is a region in the  plane that lies inside the cardioid  and…

Q: y (4) + y + y" = 0 Find all the roots of the auxiliary equation. (Enter your answer as a…

A: Differential equation is .All the roots of the auxiliary equation are correctly found.We only have…

Q: Find the following integral. Note that you can check your answer by differentiation. 4e¹√ÿ /: dy= √4…

A:

Q: 7. Suppose x, y € R. Then (x + y)² = x² + y² if and only if x = 0 or y = 0.

A:

Q: If dim. W = m and is T - cyclic subspace of V, then dim. Tẫ(W) is m – k for all k≤m.

A: If dim. W=m and is T-cyclic subspace of V, then our claim is the the dim. Tk(W) is m-k for all  .

Q: Complete the truth table below for ~q V p

A:

Q: 2. For each of the following pairs (z', 2) of numbers in Z[i]¹, determine whether or not z' divides…

A: Definition:Let .Then, divides 2) a) Let .Then, divide  z  in

Q: Find the volume of the region bounded above by the paraboloid z=4-x² and below by the paraboloid z =…

A:

Q: A radar gun was used to record the speed of a runner during the first 5 second (Round your answer to…

A: t(s)V(m/s)000.54.6517.361.58.8229.732.510.28310.533.510.63410.784.510.87510.87

Q: Find the distance from y to the plane in R³ spanned by the set (U₁, U₂} 6 - 2 4 y = -9 a. b. C. 43₁…

A:

Q: the shore to the child. Martina runs along the shore for a while and then jumps into the water and…

A: To determine how far along the shore Martina should run before jumping into the water, we need to…

Q: 3. Let x = Let W be the subspace of R5 that is spanned by the vectors V1 -9 be a vector in R5. 1 =…

A: W be the subspace of that is spanned by the vectorsAnd x be a vector in We have to find a)  a…

Q: 7. Solve Assignment 5.1 #3b. 3. Suppose that A is an n x n matrix such that Ak is the nx n zero…

A:

Q: use the weighted inner product (v, w) = V₁ W₁ + √V₂ W2 Let R2 have the standard dot product.…

A:

Q: Martina is a lifeguard and spots a drowning child 60 meters along the shore and 40 meters from the…

A: To determine how far along the shore Martina should run before jumping into the water, we need to…

Q: Given an integer a, then a² + 4a +5 is odd if and only if a is even.

A: We have to prove the given statement (4)

Q: Number of culère equation of intequal 2n's NO

A:

Q: How the markov matrix works? Please provide me a brief explanation with zero Plag*arism

A: A Markov matrix, also known as a stochastic matrix or transition matrix, is a square matrix where…

Q: Use the figure to find PH UC 71 Which of the following is FH UCI ? OA OB. Oc. #

A: The union of two vectors is not a concept typically used in vector mathematics. In mathematics, the…

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

A:

Q: . If A and B are sets in a universal set U, then AUB=AnB.

A: We proved this by wave diagram

Q: Consider the graph. (Enter your answers as comma-separated lists. If an answer does not exist, enter…

A: Here we have to check all the breaking point. All other point the function is continuous and…

Q: b) y" - 4y + 3y = e²t

A:

Q: LE₁ 1 (+) = {+ ² + 1 Let fx x +4 lim fx -0-x A) 4 B) 1 C) 5 D) Does not exist for x>0 for x < 0 and…

A: Given thatf(x) = We have to evaluate the following limit

Q: 12 SHOW WORK: A House security code has 1 letter followed by 3 digits. Repetition of digits is…

A:

Q: Set up triple integrals for the volume of the sphere p = 12 in a. spherical, b. cylindrical, and c.…

A: We have to set up triple integrals for the sphere in a) spherical coordinatesb) cylindrical…

Q: We are given m data points of the form (a¿, b¿) for each i € [m], where a¿ € R² and bį ER, and wish…

A: As per the question, we are given m data points and wish to build a linear model that predicts the…

Q: 9. Solve Assignment 3.1 #40. A = [²₁₂2] 4. Let A b. Confirm that (A-31)(A-1) = 0, where I is the 2 x…

A:

Q: 9. SHOW WORK The height of adult males on a given South Pacific Island is approximately normally…

A: Given that for normal distribution the mean  inches and standard deviation inchesWe know that if…

Q: 2. The graph of g(x) = In (x² + 1) is shown below. (12) d² (x,x) 2 What is the shortest possible…

A: