Show that f(x1, x2) = 2 - (x1 - 1)^2 - e^x2^2 is concave.

Q: 1. Given that Z denotes the set of all integers and N the set of all natural numbers, describe each ...

A: Given that Z denoted the set of all integers, N denotes set of all natural numbers. To describe each...

Q: 2 1 A = 1 3

A: This is a problem of linear transformation.

Q: D. lhustrate using Venn diagram. 1. Not Prime Number Prime Number Odd Number Card Not Odd Number Car...

A: Given are three parts where in each part there are given sets and we have to write them in Venn- dia...

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

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Q: Find the inverge of the 2x2 matrix Cos t Sin t - Sine Cose

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Q: the size of the population after t years. P Y00 Ne10,700 P= 1200 1200 - 10,700l400) (10700-400e 400 ...

A: In this question, the concept of the Logistic equation of Population is applied. The logistic equati...

Q: Ssin'r cos"xde .2 x cos-xdx xp: 4.

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Q: ) Solutions to linear differential equations can be written using convolutions as y = yIvP + (h(t) *...

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Q: Use a truth table to determine whether the argument is valid or invalid. p > r .'. q v r p9r|p^ ~g p...

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Q: 8. Consider the three functions a(x), b(x), and c(r) given by: a(x) =E b(x) = g3n+1 Σ g3n+2 Σ c(x) =...

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Q: Find the equation of line with slope - 6 andx-intercept at 4 Oy- 6x+ 24 OY=-6x+ 24 Oy=-6x-24 Oy-6x-2...

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Q: 1 1 -3 1. Let A = 1 1 -1 -4 (a) Find row(A), col(A), and null(A). Find a basis for row(A), col(A), a...

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Q: Which of the below terms best classifies the given shape below: O octagon O heptagon O hехagon O non...

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Q: ne-third th

A: Introduction   When the Earth is assumed to be spherical, the circumference varies as the cosine of ...

Q: 2. Express as a single power series form: (n – 2)an+1(2x - 3)n+1 + ) an-1(2x – 3)"-1 n=0 n=2

A: We have to express the given series as a single power series form.

Q: Polynomial Kernel k( xx, x;) = (1 + X; · X; )' dot prodvct of Xr and Xj Find the function 0: R" → R™...

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Q: Find the volum e the solid in The first octant in side The para boloid 2-22-y%=0 and below the aylin...

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Q: Use the simple interest formula to determine the missing value. p= $943.66, r= 3.5%, t= ?, i = $198....

A: Given:p = $943.66,   r = 3.5%,   i = $198.17  

Q: Find the Laplace transform of t + 2t -4

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Q: 1 1 -3 1. Let A = 2 1 1 -1 -4 (a) Find row(A), col(A), and null(A). Find a basis for row(A), col(A),...

A: Given: A=11-30211-1-4 To find: 1 a) row(A), col(A) and null(A). Also find a basis for row(A), col(A)...

Q: Many package delivery services charge a base price for packages up to some weight and a surcharge fo...

A: The following steps are used to find the solution of the given problem.  Identify the decision vari...

Q: 2 If the power series a,(x-d)" is such that lim n=1 L n- 00 Which one of the statements following is...

A: Option D is correct option 

Q: Find the volume of the solid within the cylinder x2 + y? = 4 that is bounded below by the xY-plane a...

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Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have 

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D...

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Q: Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answe...

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Q: Show that (B- A)U (C-A) = (BU C)- A 1) Using Venn diagrams 2) Using the set-builder notation and log...

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Q: Use Laplace transforms and the convolution theorem to solve the integral equation t y(t) + / (t – x)...

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Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: Determine the answer to the question. 11 is what percent of 44? 11 is % of 44. (Simplify your answer...

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Q: Suppose f : R → R is a continuous function with the property that f(x) = 0 for every x E Q. Prove th...

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Q: Find the complete or particular solution of the following diffi- rential equations:

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Q: aslal. llal-1b||<la + b| < lal + |b|

A: Remark: We know that the absolute value (or modulus) | x | of a real number x is defined as the non-...

Q: a) A coat is marked down 15%, and the customer is given a second discount of 10%. Is that the same a...

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Q: You have many homework to submit throughout a semester. You can work 100 days in a semester. Assume ...

A: Condition Days Persons 1&amp; 2 do task 1 together 2 3 does task 2 at that same time 2 All 3 p...

Q: B. Steps in finding for the arithmetic mean of an arithmetic sequence First, A second step Complete ...

A: At first we consider a arithmetic sequence and then we find arithmetic mean .

Q: Find the volume generated when the area bounded by the curve y2=x , the line x=4 and the x-axis is r...

A: Volume bounded by the curves, about y-axis.using Disk method

Q: We are interested in determining whether or not the following linear matrix equation is ill-conditio...

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Q: Solve the ff by i) Gaussian Eliminahim ü.) Gauss -Jordan Elimination X - y + 22 -w =-| 2x + y - 22 -...

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Q: Sharon was to board a flight at 08:45 hours .Her flight was to take 5 hours 30 minutes to reach the ...

A: The flight is at 8:45 am  there is a delay of 50 minutes, therefore, the new flight time is 9:35 am ...

Q: Express the given decimal as a percent. 0.4222 D%

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Q: 8. Using squeeze theorem, show that the following limit (x – 1)² In x = 0. lim (x,9)→(1,0) (x – 1)² ...

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Q: 13. A six – months moving average forecast is better than a three – months moving average 10. The de...

A: 11) option (a) is correct. The main purpose of time series moving average is to find the coefficient...

Q: Find the linearization of the function at the given point. f(x y, z) = e5x - 3y - 6z at (0, 0, 0) Lü...

A: Linear approximation in three Variables

Q: State why the system of equations must have at least one solution. (Select all that apply.) z = 0 6z...

A: System of linear equations, by solving using Matrix echelon form and back substitution method.

Q: Determine whether these statements are true or false. Enter T or F. (a) ØE{Ø) (b) {Ø)E{Ø) (c) ØC{Ø) ...

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Q: Q2) A. Evaluate the following integral using the Simpson's rule, giving the answer correct to 3 deci...

A: Numerical integration, by Simpson's rule

Q: Choose рaper.

A: (1). A relation where each element in the domain is related to only one value in       the range by ...

Q: 2. Find the coordinate vector of i (2,3) relative to the basis B {(1,0), (1, 1)} in vector space R².

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Q: Use the simple interest formula to determine the missing value. p= ?, r= 6%, t= 9 months, i = $63 p=...

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