Find the acute angle between the line r(t)=(1,1/2,1)+t(2,1,2) and the z axis. Note these lines intersect when t=-1/2

Q: Solve the linear programming problem. Maximize and minimize P=7x+8y subject to x+y s3 x+3y s4 4x +…

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Q: a) How many area codes were possible with this arrangement? How many telephone numbers does the…

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Q: A rectangular storage container is to have a volume of 22 m3. The length of the base will be six…

A: The volume of the rectangular container is The length of the base will be six times the width of the…

Q: 5. 스2 x-4 1 + + 쓰 3 5 X 2y 3 x+y-z= z-2 || Z || 1 18 19 40 59 20

A: Augmented matrix of the given system can be written as Lets find its row reduced echelon form to…

Q: Let R be a commutative ring with unity. Then every maximal ideal of R is a prime deal.

A: is a commutative ring with unity

Q: Solve the following differential equation. dy = (x + 1)² dz

A: The given differential equation is,

Q: What is the significance of the algebraic closure of a field in field theory?

A: The significance of the algebraic closure of a field in field theory.

Q: 3,4 "Let 2 A=[ 600 - +] and B = [ 3 + + ] 21 00 Calculate the following. a) AT b) h(A) c) A+B

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Q: 2 3 3 -3 -4 -3 3 3 2 If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¯¹AP…

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Q: Consider the inconsistent system of equations: 1 17 1 1 0 1 Q-A Which of the following is the…

A: We have to find the solution of normal equation for the inconsistent solution.

Q: 5- As a result of a preliminary study, it was seen that 80 of the machines were working as a result…

A: a) The formula below can be used to calculate the sample size with a 95% confidence level and a 10%…

Q: 43 D 3 40 39- 10. 201 B 15 E 31 37 A Find the minimum cost spanning tree on the graph above using…

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Q: 7.2 fair dice are rolled. What is the probability of getting a sum of 7 or a sum equal to 10? 8.…

A: Since you have posted multiple questions, we will provide the  solution only to the first question…

Q: True or false?

A: In each case we write the answer and some explanation is discuss.

Q: Solve f(x²+1)dx with Composite Simpson's 1/3 Rule for n = 4 subintervals.

A: We have to solve  by using Simpson's rule.

Q: Differential Equations 3 The Shroud of Turin, which shows the negative image of the body of a man…

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Q: The payoff matrix for a game is 1-2 (a) Find the expected payoff to the row player if the row player…

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Q: 3) C2 -4 C=C₁UC₂ 3 C₁: line from -4 to (-4+21) C₂: line from (-4+2i) to (3+2) (Cxtiy) dz= ?

A: (.) Given ,          where    line from  to    line from  to we know that   , differentiating both…

Q: Let G be an abelian group. Prove that (g = G||g| <co) is a subgroup of G (called the torsion…

A: The solution effectively utilizes a fundamental theorem to prove it a subgroup, one must mention in…

Q: equations dr dt dy dt xy + 2 2+y = y(1-y)- xy 2+4 (a) Which equation models the prey population and…

A: GIVEN , PREDATOR -PREY SYSTEM OF DIFFERENTIAL EQUATION:# PART A:   REPRESENTS THE PREDATOR…

Q: Question 3: Determine the values of the parameters {o, o, A} in the equation below: 10 cos(wt0) =…

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Q: If the subspace of all solutions of Ax = 0 has a basis consisting of four vectors and if A is a 7x9…

A: Given that, the subspace of all solutions of  has a basis consisting of four vectors and  is a…

Q: Let K be an extension of a field F and f(x) be a  polynomial of positive degree over F, then ?∈K…

A: Let K be an extension of a field F and f(x) be a polynomial of positive degree over F, then we have…

Q: Find the value of x for which the function f(x) = 3x^4 - 8x^3 + 6x^2 + 2x + 1 has a critical point.

A: Critical point : A critical point of a continuous function f is a point at which the derivative is…

Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

A: To find the left hand limit (i.e. ) we have to observe the branch of the graph to the left of  but…

Q: Determine {f}, where f(t) is periodic with the given period. Also graph f(t). t, 0<t<3, 3-1, 3<t<6,…

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Q: 49 Use the binomial formula to find the coefficient of the uy term in the expansion of (3u+y) ¹3. 11…

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Q: 1. Find derivatives of the following functions using first principle. (i) y = sin x (ii) y = et

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Q: What was the original volume in liters? Enter your answer as a decimal to the 10th place, like this:…

A: From the gas law we know

Q: A-[2²]. 34 Let A Give A!

A: We are given Matrix A.We have to find the inverse of the matrix A.

Q: Enter the Maclaurin polynomials below for Po(x) = P₁(x) = 1+x'

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Q: In how many ways can we paint the 10 rooms of a hotel if at most 3 can be painted red, at most 2…

A: Let us find the possible no. Of ways.using combination formulae.

Q: a. Rewrite the data points (2,1), (4,2), (8,6) and (9,6) with new x-coordinates in mean-deviation…

A: Here we have to find the associated matrix.

Q: Consider the following. 8= ((0, -1), (1, 1)), 8 (-12, 0).(-4,4)). (a) Find the transition matrix…

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Q: Assignment 2: Solve by Naive Gauss Elimination. Show all steps of the computation. 1.) 10x₁ + 2x₂…

A: Since you have posted a multiple question according to guidelines I will solve first(Q1) question…

Q: Suppose that X = {2}-{] Y € R³: : xyz = 2 and that Y = of the following statements is correct.…

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Q: Find the inverse of f. Then use a graphing utility to plot the graphs off and f-¹ on the same set of…

A: The given function is .We have to find the inverse function and sketch its graph.

Q: ON A chemical substance has a decay rate of 7 4% per day. The rate of change of an amount N of the…

A: The given datadN/dt = -0.074NdN/N = -0.074 dt

Q: Find the general solution and sketch the phase portrait of 1 z = ( 1 -¹ 2 ) ² 4 -2

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Q: B. Evaluate each. 1. C(8,4) 5. C(8,4) C(7,5) 22. C(5,0) 3. C(4,4) 4. C(11,3) C(7,4) 6. C(8,2) C(6,2)…

A: As per the guideline I’m supposed to solve only three sub-parts of the given problems.As we know…

Q: Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A…

A: The given matrices,We have to find the basis for column space and the null space and also find its…

Q: Solve the following linear programming problem. Maximize: z = 6x + 3y subject to: 7x-ys 15 2x+y z 10…

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Q: (a) If L{exF(x)} prove that L{ex F(x)}=f(s-a) and (b) evaluate L{ex sin bx}. b Ans. (b) (s-a)²+b²¹…

A: The Laplace transform of a function  is expressed as or .Given: (a) We have to prove .(b) We have to…

Q: Compute the indicated product. 4 4 [²21][23]

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Q: n 1 2 3 4 n-1 n R(n) (Simplified sum) 2 4 7 11 R(n-1) R(n) Pattern

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Q: Determine if the set is a basis for R³. Justify your answer. 0 1 Love 2 4 2 -3 6 3 Is the given set…

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Q: az Use the equations given below to find. Əz ax az ay = Əz Əx DETAILS Help? I **** az Read It əz Əy…

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Q: Decomposition fields are algebraic extensions.

A: Definitions:Decomposition fields(splitting field) :  A splitting field of a polynomial p(X) over a…

Q: In the Sturm-Liouville problem (xy')'+ (lambda/x)y =0 ,y(1) =0 y(e)=0 what is the eigenvalues and…

A: Here we have to find the eigen values and eigen function of Sturm-Liouville problem.

Q: Problem 12-27 (Algorithmic) Andalus Furniture Company has two manufacturing plants, one at Aynor and…

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