3 Consider the function f(x, y, z) = (x+y+z)° on the domain R³. Is f a concave function? Is ƒ a convex function?

Q: (i) ( Let y: [a, b) → C be a curve. Explain what it means for y to be: (a) piecewise smooth; (b)…

A: Sol

Q: solve for the laplace transform of f(t) =D {2,t < 플 {-을, 플 <t<ㅠ 6. -e + He i a. 2s 48 2/4 b.

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Q: alculate the value of cos(50° 30') with accuracy ɛ = 10-6

A: Here we have to find the value of cos(50°30')

Q: A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the price…

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Q: Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? and the coordinate…

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Q: Is the conventional kinetic Bohm criterion, given by -> 1 1 -1 1 d. d. -f; dv < dv. dv - M; Vz me Vz…

A: Sol

Q: Create a system of linear equations. Then, solve the system using Cramer’s rule A total 820 tickets…

A: Given that a total 820 tickets were sold for a game for a total of $9,128. If adult’s tickets were…

Q: QUESTION 3 Let VS0,1] be the Vitali's set. Mark all statements that are true. Ovs[0,1]is not…

A: Sol

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

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Q: nsider the ideals I= (x,y) and J = (x- 2y) in Q[x, y). ad VI, %3D %3D

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Q: Get up the integrals equal to the area and the perimeter of the region S (ahaded in the figure…

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Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

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Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: A certain manufacturing firm measures % in. by 1% in. on a map with scale 1:8,000. What is its area…

A: The given length is 34in.. The given width is 118in.. The mixed fraction 118in. is converted as…

Q: a) Show how to compute C(11,5) = () using only basic calculator operations (addition, subtraction,…

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Q: what is the spanning fuzzy subgraph ? And give examples

A: Given : Spanning of fuzzy graph is mentioned in given example. We need to tell that what if fuzzy…

Q: d) y"+4xy'+C4AX²+ 2) y = 8e" + Ax^424

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Q: 5 How many isomorphisms are there between the following two graphs? Explain. (If you do not know…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 4- 3- -5 -4 3 -2 - 12 3 4 5 -3 -4- Consider the polynomial graphed above. The degree is Select an…

A: We want to find degree of given graph's polyomial.

Q: POS Which set of linear equations has a solution indicated on the graph below? X- A C Su= (-3/2)z +…

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Q: cosh In(-3+ 2j)]

A: The expression of coshx is coshx=ex+e-x2. Break the given hyperbolic function into exponential form.…

Q: Q1: Solve the following recurrence relation an = 4an-1 - 3an-2 for n 2 2, together with the initial…

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Q: B A Question 5.10 Hmmmmm, this diagram looks familiar. Isn't there some significance to line CF? It…

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Q: 1. Use Direct Proof to prove that the product of two consecutive integers is divisible by 2.

A: We have to prove that product of two consecutive integers is divisible by 2.

Q: (-3415°\]!nln(jn) cosh log(ji') Evaluate the function above. Key in your answer in rootangular form

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Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

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Q: (9) Evaluate the surface integral / S, czdS, where o is the part of the plane r+2y+3z = 6 that lies…

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Q: Suppose we have some approximation N(h) to M, and we know that N(h) = M + C¡h+ C2h² + C3h³ +0 (h*) .…

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Q: 10. Let ø: Q(V2) → Q(v2) be the map given by ø(a+bv2) = a-bv2. Show that o is a Q-linear field…

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Q: 4: You are to choose a non-polynomial function, an interval, and six points at which to interpolate…

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Q: Wunsch Global Alignment (Scoring System: Match 2, Mismat e first row and column with gap…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e-²-yv°…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

Q: A quadrivector AH has components (1, 1, 1, 0, 1)' in the system S. Calculate the T components of AH…

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Q: space of pölynömials öf degree less Let g1(t) = 1 and g2(t) = t. Find a ba he subspace of P3 spanned…

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Q: | (ах с) (2а+b—4c)| (αx b) . c If a = 2i + 3j – 5k,b = 3i + 7j - k and c = 5j – k. Calculate %D

A: Solution

Q: Consider the following equations with small parameter e: (a) er - a = 0 (b) r - a +e = 0 In which…

A: Sol

Q: The slope of the curve 2r° – y = 7 at the point where y A -4 в -2 с 2 D 4

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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Q: Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove |Y| =…

A: Y=4-984261-25X=1-3-74261-25 Y is obtained from X as shown below.

Q: 2.55 Let P denote the set of all functions f on [0, 1] such that f(x) > 0 for all x € (0, 1]. Is P a…

A: P is not a vector space.

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: Let m(x) be the slope of the tangent line to the curve y = 2x° – 6x² + 3x at the point (x, y). Find…

A: We have to find instantaneous rate of change of m(x) at point (2,-2)

Q: 7. Let C[-7,7] be the vector space of continuous function over [-n, 1] with an inner product 1 (5,9)…

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Q: 2. Which of the following statements is always true about a real m-by-n linear system, where m <n.…

A: We have to find the true option .

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: d'y -2xy 0 dx Show that the power series solution of the above differential equation at x 0, y=1 and…

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Q: Prove that vertical angles are congruent

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Q: A. (x+1)* -y? ) dy dx

A: To solve (a) only Ques (a) : ((x+1)²-y²)dy/dx -(2(x+1)y-10(x+1)²)=0

Q: *1 – 2x2 + x3 – ¤4 = 2 x1 + x2+ x3 – x4 = 2 + x3 – X4 = 2 How many free variables does it have? (a)…

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