For the function 5 (1, 9) = + + f (x, y) 8 + xy defined on domain D:x, y > 0 Find @ Vƒ 2 critical pts 3 Hessian matrix

Q: /I. Find the area of triangle ABC having the indicated measures. Round to the nearest hundredth. 11....

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Q: QIFind 7 7х - 23 d. (х- 2)(х - 5)

A: Introduction: When a rational expression is divided into the sum of two or more rational expressions...

Q: dy \ Find for dx et dt

A: In this question, the concept of the fundamental theorem of calculus is applied. Fundamental Theorem...

Q: Determine whether the line integral of each vector field (in blue) along the semicircular, oriented ...

A: Determine whether the line integral of each vector field along the semicircular or oriented path is ...

Q: (It v5)" (1 Vsy (b) Prove that f. for all integers n> 1.

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Q: Q\ Find the inflection points of f(x) 3x5- 10x3

A: The inflection points are defined as the point where it changes its concavity. In this problem, we h...

Q: Find the harmonic conjugate of the function ufx,y)= eSin(y)

A: A multivariable function ux,y is a rule used to fix or associate a number to a particular point x,y....

Q: a population of 400 African zebra exhibits logistic growth. If maximum number of zebras in the popul...

A: Solution

Q: c) For a set X = {1,2,3, 4, 5}, let P be the partition {{1,3, 4}, {2}, {5}}. In the equivalence rela...

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Q: Q\ Find the absolute maximum and minimum of f(x) = csc(x) on [ %3D max(x) - min(f(x)-1 max(f(z)- min...

A: Introduction: A function may have a maximum or minimum value of the domain of definition. Suppose, o...

Q: Find fourier series for

A: We know that the Fourier series expansion of a function f(x) on the interval -L, L is:f(x)=a02+∑n=1∞...

Q: QIFind Srsec-"(x) dx

A: The given question is related with evaluation of an integral. We have to find ∫ x sec-1x dx . Note t...

Q: Use mathematical induction to prove the following: 2 1+8+27+·..+ n³ n(n+1) %3D 2

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Q: Find two roots for the following equation using Newton-Raphson method: tan x +x-1=0

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is def...

Q: 2. What is the maximum length of the repeating section in the decimal representation of 683/1493? Wh...

A: Solution :-

Q: Find one of the roots of function f(x)=x5-14 by applying Newton-Rhapson Method twice. Initial point ...

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Q: 2.) Determine whether S = is a basis for R³. If it is write u = (6,3,6) as a linear combination of t...

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Q: Is 100,052 divisible by 2?

A: We have to check whether 100,052 is divisible by 2. Divisibility of 2:- If a number is even or a num...

Q: Q4 Let f : R → R be the function defined by 1 f(a) = 2" %3D a) Is f is one-to-one? If yes, then expl...

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Q: 2w+2w

A: We have to solve 2w+2w

Q: 22+88-22=

A: Given: 22+88-22

Q: Find the determinant of the given matrix. You must show all working. You will get no marks for simpl...

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Q: Row reduce the given matrix to reduced row echelon form. T1.0: 2 1 3 3 -1 4 -1 0 4 1 Hence, solve th...

A: Multiply the first row by -2 and add with the second row to obtain 0 in the (2,1)-position. 2133-14...

Q: Complete the following truth table. Use T for true and F for false. In this table, p and q are state...

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Q: y"(x) – 3y/ (x) – 4y(x) = 3e2" , y(0) = 1, y (0) = 0. | %3D

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Q: Let x + 2 f(x) x + 7 f-'(- 9) =

A: It is given that the function fx=x+2x+7. We know that fx=y, where y can be evaluated by putting the ...

Q: Q3) Find the limit for the following function by using L'Hopital's rule: x- sin x lim x3

A: We have to find the limx→0x−sinxx3 by using L'Hospital's rule. L'Hospital's rule is defined an follo...

Q: 4. Find the product-of-sums expansions of the Boolean function F (x,y,z) that equals 1 if and only i...

A: The complete solutions are given below  

Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy...

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Q: ne table shows the total assets (in trillions) held in a foreign bank for the given years. Complete ...

A: We can solve this using formula of exponential regression Instead of y0*(b)t i choose a*bx.  

Q: The solution of the following homogenous differential equation y' = - x+y -is

A: We find the solution of the homogeneous differential equation y'=yx+y

Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15 e...

A:   D1 D2 D3 D4 supply S1 10 0 20 11 15 S2 12 7 9 20 25 S3 0 14 16 18 15 Demand 15 15 15 10   ...

Q: O: Are the following, grapt o Cn 2) Wn 3 Kn 4) Knin O Pn O Petursen giaph

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Q: -dz < 2re?. z + 1 Jェ-1|=1

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Q: Given the differential equation In(2x - 2)dy + d + 4y SN = 0 then what is x-1 Зху? + х х-1 O c y х—1...

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Q: QitEvaluate the fallowing integVals using Polar method :

A: We have to evaluate the value of the double integral ∫01∫01-x2 e-x2+y2 dxdy using the polar coordina...

Q: In how many ways can a coach choose three swimmers from among five swimmers? Combination O Not Combi...

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Q: Q1) Find Eigen values of matrix ( 2.

A: Given matrix is 1254 Take,   A =1254 For Eigen values, first we'll calculate the characteristic equa...

Q: 3. -1 -1 -2 -3-2-1 0 12 01 2 34 -2-1 4 -3 -2 -1 FIGURE 6.1.12. and saddle point (2, -1). Spiral poin...

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Q: Consider the ODE with general parameters b, a, I a'(t) + bæ(t) = at²(1+ sin(qx(t)) Dimensional homog...

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Q: Considerthe linear DE y-y=4e". According to the undetermined coefficient method, the particular solu...

A: The given linear differential equation is y"-y=4ex. The general solution of the differential equatio...

Q: Evaluate |A|, where A is the 76 × 76 matrix: 1 2 3 4 76 ... 2 3 4 76 ... 0 3 4 76 ... A = 0 0 4 76 ....

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Q: Suppose that population of the world now is 6 billion and that its doubling period is 35 years. (a) ...

A: The exponential growth of a population can be modeled as Pt=P0ert Where Pt is the population size af...

Q: 6. Find the number of ways a class of 140 students be partitioned into 5 discussion sessions S1, S2....

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Q: Solve the truth value of the well-formed formula (WFF) below. If the answer is 0 chose FALSE, is the...

A:  The logical symbol "∨" is used to denote "OR" . The logical symbol "⊃" is used to denote "IF..THEN"...

Q: (Steepest descent and CG) Consider the following linear system, (6 )()-0 1 0 2 x2 ke the initial gue...

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Q: 1. S x+cos 2x dx x2+sin 2x 2. Sxe**(ex² + 1)'dx

A: According to the definition of definite integrals, if dFdx=f(x), then ∫f(x)dx=F(x). In this problem,...

Q: 1 1 Let R be the region bounded by y and x = 1. 2+ Va A. Sketch/graph R. B. Set up the integral(s) t...

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Q: Prove that if n is a triangular number, then so are 9n + 1.25n + 3, and 49n + 6. Hint: Recall that i...

A: Triangulars numbers are those which are of the form k(k+1)/2 and some examples are 1,3,6,10,15 and s...