Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the definition

Q: Question 3 (a) Minimise the following logic function using the Karnaugh maps method: f (x, y, z) = x...

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Q: QUESTION 2 Let g(x,y,2) = xyz? - ysinx Find vg(n,1, - 2)- Oa (3,4n, - 4 r) Ob3 OC (5,4n, - 4n Od.5. ...

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Q: y" + 2y' +y = sin x+ 3 cos 2x.

A: Let us consider the given differential equation y''+py'+qy=Q(x). To solve the differential equation ...

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Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...

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A: Definition(Quadratic Residue Modulo): In number theory an integer qis called a quadratic residue mod...

Q: 8. Solve the following system of differential equations by elimination. (Section 4.9) dx - 4y = 1 dt...

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Q: 7.57 AM O 91 B/s i gondangsragen.com 4 SMAN 1 GONDANG SRAGEN E / KUIS WAKTU TERSISA 01 jam 32 menit ...

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Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: Calculate the future value when P = P5,000, r = 11%  compounded monthly, and t = 8 years.     P5,3...

A: Given: P=5000 r=11% T= 8 years The formula to calculate the total value compounded monthly is A=P1+r...

Q: Which one of the following correspond to statement "Every comedian is funny" where C(X) is "x is com...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: Find the paint the Surface Z = I+ xy thet is hearest on to the origin ·

A: Lagrange multipliers are used to find the local maxima and minima of a function under certain constr...

Q: QUESTION 3 Let f be a function of x and y, and suppose that f(1,0) = 5. Suppose that v/(1,0) = (-3,4...

A: Given for a function f of x, y that  f(1,0)=5∇f(1,0)=-3,4 we have to check correct options for ∇f(1,...

Q: HoWe By the Same way prove that s X Jr (X) ノ+1

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Q: 3) Sea la función periódica de periodo T = 2n t+ n (-n<t< 0) (-n <t< 0) f(t) = (0 <t < n) a) Dibuje ...

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Q: 1.5 1.55 6.7933 7.3236 -39(r0) + 4g(xo+h)-g(xo+2h)) $0'0 = 4 y9Im ((4 – Ox)6 - (4+ 0x)6] ardson's ex...

A: Thank you for the question As per our guidelines we are supposed to answer only one question. Kindly...

Q: (a) 1 FIGURE E.1

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 У 5а-2

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Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money woul...

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial amoun...

Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.

A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09

Q: Define the binary operation in the set of rational numbers as: a*b = ab+a-b Which of the following ...

A: Given,           a*b=ab+a-b

Q: 1-z Let C: |z-i|=9. Then ſ. dz = z(z+1) а) 0 b) 2пі с) — 2пі d) 4ni e) —4лі f) 2п O a. O b. O c. d. ...

A: Given C: z-i=9 We will find the value of∫C1-zzz+1dz Cauchy's Integral Formula: Let fz be a function ...

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

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A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

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A: Simplify the given quadratic equation.

Q: Estimate the value of f2 (1 – x-4x + 2x) da using 4- segment Simpson's 1/3 Rule. O 1144.5 O 2146.7 O...

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Q: 2 Solve the system of linear equations given below. -B -C+4D =1.8 4A -B-C = 0.5 -A + 4B - D= 1.3 -A+...

A: As per the question we are given a system of linear equations and we have to find the solution numer...

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Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6) 1...

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Q: Activity: It's Your Turn! Direction: Find the measure of each angle indicated using the exterior ang...

A: 1)  by exterior angle theorem  ∠U+∠T=∠V                  ∵sum of opposite interior angle= exterior ...

Q: Note: m=2 n=8 Answer the following questions a. Simplify the following polynomial and answer the que...

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Q: Evaluate -q -(~q→-p) using the table below: b. T. T F. T. F F TFTT TTFF Tautology O TTTF Self-contra...

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Q: 16

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Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2  

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Q: Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and D. The r...

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Q: Evaluate -(~p +→ p) → ~q using the table below: T. F T F TFFT TTFF FFTT FTFT TFTF O FTTF

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Q: EXs Prove that [* Ju cx) = x'Jv-1 (x)

A: This is a problem of Bessel's function.

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Q: (b) Given the following logical circuit with three inputs A, B and C: i. Use the boolean algebra not...

A: Given logical circuit is Since we know the meaning of logical gates as     So 

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Q: In n

A: Given as, an =Innn3

Q: We will solve the heat equation u, = 2 ux, 0 0 with boundary/initial conditions: u(0, г) 3D 0, u(10...

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Q: hmetic mea

A: Introduction: Geometric mean is the calculation of the mean or average of a series of production val...

Q: 7. John is not both happy and angry, but not both. 8. Jerico will be found guilty only if he committ...

A: Solution: 7.  Let p=John is happy, q=John is angry. John is not both happy and angry, but not both T...