If the optimality has been arrived but the artificial variable is still in the basis then the LP problem has -Unbounded solution

Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

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Q: z = 1.12 and z = 1.9 9713-.868 X square unit

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: 9. Suppose we deposit $1000 into a bank account which pays 5% annual interest, and the interest is…

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Q: if (x, y) # (0,0) Let f : R? → R be the function f(x, y) = { r² + y² if (z, y) = (0,0) By using the…

A: First we have to find partial derivatives:

Q: Find the exact length of the curve y = In (sec x) from x = 0 to x =

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Q: A well-known brokerage firm executive claimed that 10% of investors are currently confident of…

A: Solution: Let n be the sample size. From the given information, p-hat = 0.18 and n = 800. The given…

Q: Just answer #3 please. Question 2 has the information needed for question 3.

A: In this question we need to answer which standard deviation Sam will prefer, before we have to know…

Q: Find the image of triangle ABC for the dilation with center P and scale factor 1/4.

A: Given- a triangle formed by joining dotted line to fined new triangle with scale factor 1/4

Q: a For the function = x²y+yz at the point (1,2,-1), find its rate of change with distance in the…

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

Q: Given the 2 by 2 matrix A, find the eigenvalues and eigenvectors by hand, and if possible, the…

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Q: The average score for games played in the NFL is 20.7 and the standard deviation is 9.1 points.…

A: Note: As mentioned in the question i'm solving only part d

Q: Find a basis for the space S of vectors (a, b, c, d) with a+c+d= 0 and also for the space T with a +…

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Q: • Problem #3 Let S be the unit sphere x² + y² + z² = 1. (a) Find the absolute maximum of the…

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Q: (2) Consider the sequence Q defined by Q(k) = 2k+9, k≥ 1. Complete the table below and determine a…

A: For given Q(k) = 2k+9 , we have to complete the table for k =2,3,4,5,6,7 and find the reccurence…

Q: One of the following is True n² + n = 0(n) O ) 4" = 0(8" O(log n) O 100n2 +n = O(n*) On+log n" O E =…

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Q: Professor Oger must choose between an extra writing assignment and an extra reading assignment for…

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Q: The box shown in x B A D У is the unit cube having one corner at the origin and the coordinate…

A: Given is a unit cube whose one of the vertices is the origin and have three faces along the…

Q: (a) Find an equation of the plane tangent to the surface f(x, y) = xy² – 5x at the point (1, 2, –…

A: step:-1 Let surface f(x,y) and z=f(x,y)  then equation of tangent plane at (a, b ,c) is (z-c)=fx(a,…

Q: In the following centered difference formula for the derivative 1 · [5 f (x − 3h) + Aƒ (x − 2h) –…

A: Taylor series/polynomial:

Q: dz Using Chain Rule, determine dt for the following functions 2. (a) z = x²y + x where x = sin(t)…

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Q: 1. Isolate X.8 (3 + x-4) 4 24+ T (3x + 1 8 = 3x + 1 2x-8 24-9 = X X = 15 T 8

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Q: L-Find the surface normal vector to the sphere with radius √11 centered at (0,1,0) ex² + (y-1)² + z²…

A: Given: Sphere centered at 0,1,0 with radius 11 i.e., x2+y-12+z2=11 Point P=1,2,3. To find: Normal…

Q: 82. There is exactly one polynomial with integer coefficients with zeros of 2, 4, and 6.

A: There is exactly one polynomial with integer coefficients with zeros of 2, 4 and 6.

Q: Let 3.x2z – x²y? + 2z³ + 3yz – 5 = 0. Compute dz/dx and dz/dy.

A: Consider the given equation is3x2z-x2y2+2z3+3yz-5=0.To find:1 ∂z∂x2 ∂z∂y

Q: (1) Prove by induction: ₁(²- i+1)= n³+2n (2) Prove by induction: 1(1!) + 2(2!) + + n(n!) = (n + 1)!…

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Q: Determine the infinite limit. a) lim 1-3- (x – 3)5 b) х — 1 lim x²(x + 2) c) x² – 2x lim a-2- x² –…

A: a Given limx→3−xx−35. Use definition of limit…

Q: 6. Forward difference approximation gives the most accurate result to find the first order…

A: Find the explanation below

Q: Find the mean and standard diviation for the set of numbers: 42, 87, 91, 53, 49, 31, 1, 20, 92, 18,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.