Given, f(x, y, z) = xln(x?y)+ x*y – e a2. Compute fa, f, fry, fayz-

Q: Determine Rn(x) for f(x) = 1ln(x) about x = e

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Q: əz az and as Using Chain Rule, determine for the following functions - at (a) z = x²y where x = sin(...

A: The general form of a two-input multivariable function is given by z=f(x,y). The partial derivatives...

Q: Rotate 180° about the origin G' T' B' Vertex Pre-Image Image G (-3, -1) G T (-1, -1) (-3, -5) B.

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. The rotation r...

Q: solve the DE. can use the method I(x)=e^intergral of

A: To solve the below differential equation. y+2x6y4dx+xdy=0

Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

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Q: The graph shows and minimum values of the objective function. region of feasible solutions. Use this...

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Q: n a group of 25 boys, 20 play basketball and 17 play baseball. They all play at least one of the gam...

A: Given: Total = 25 20 play basketball 17 play baseball. They all play atleast one of the games. To de...

Q: Find the Fourier series for the given function. x +L, f(x) = L. -L < x < 0, 0 <x < L; fx +2L) = f(x)

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Q: Let H be the set of all vectors of the form Find a vector v in R³ such th 4s

A: Introduction: It is the collection of all linear combinations of a number vector. One vector with a ...

Q: Find y as a function of t if 5184y" – 1584y + 121y = 0, - y(0) = 6, y'(0) = 3. y =

A: We have to find the general solution of the given problem.

Q: R —A/R— is a set. You will need, of course, to find a superset of A/R, that is, a class X

A: To prove the given relation, show that as, reflexivity, symmetry, transitivity.

Q: Determine whether the seauerce converges or diverges. If it conve ges, find the 100 loon 100 an- + 1...

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Q: -54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

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Q: Which of the following is the probability distribution of a discreet random variable A: Sum of two n...

A: The probability distribution of a discrete random variable X is a listing of each possible value x t...

Q: O which of the following series converges? (2h)! a) E Σ I- e c) E al) E 2+ Sinno n2 + Sinnt e) none ...

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Q: ark and Lance house it will be four times as old as it is now if they have 21 years left on mortgage...

A: Let x be the percentage in years. Given that the four times of x is 21.  

Q: 1. Complete the following table by placing ticks (V) to show which of the number sets N, Z, Q, R the...

A: claim- to complete the table by placing tick to show that which of the number sets these number belo...

Q: Evaluate, given x=-5 and y = 2 (+x) - (-5y) – (+10y) – (+7x) = %3D

A: The given expression is                                               (+x)-(-5y)-(+10y)-(+7x)

Q: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

Q: 2+2=?

A: To find- 2 + 2 = ?

Q: Find the minimum and maximum values of z = 3x + 6y, if possible, for the following set of constraint...

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Q: Expand the function using Taylor series expansion. h(t) = 2t(1+t) in powers of (t – 1)

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2 ) ab...

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Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1.* O elliptic hyperbol...

A: The various types of quadric surfaces are: the ellipsoid, the hyperbolic paraboloid, the elliptic hy...

Q: Testing for Linear Independence In Exercises 27-40, determine whether the set S is linearly independ...

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Q: Consider the relation ? = {(a, b), (a, d), (b, a), (c, d)} on the set {a, b, c, d}.  a.  Find the re...

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Q: Find y as a function of t if 4y" + 13y' + 13y = 0, y(0) = 8, y'(0) = 8. y(t) = Note: This problem ca...

A: Given  4y''+13y'+13y=0 and y0=8, y'0=8

Q: Find the period. y = 5 csc(x) Graph the function. JUUL UUU

A: Given function y=5csc(x) We have to find period of function and draw a graph of y=5csc(x)

Q: Sketch a contour map with at least four level curves for the following surfaces: a. z = 9x? + y? b. ...

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Q: 2. Using Euler's method with N = 8 and 10. dx/dt = 1 + tsin(tx), x(0) = 0

A: Given dxdt=1+tsintx  and x(0)=0 and N=8, N=10

Q: 7 2 2-2 in

A: We have to find the reduced row echelon form of the given augmented matrix.

Q: lve, using the method of variation of parameters: y/" + 4g/ sec 2.x

A: We will first find auxiliary equations and then find complementary solution to it.

Q: Evaluate the following indefinite integrals: a) ∫ (1/x + 3/x2 - 4/x3 ) dx b) ∫ (x2 + 2x - 5) / √x dx...

A: The derivative of the function is the measure of how fast the function is changing with respect to x...

Q: the distribution centres and the dealers together with the monthly supply and demand figures given i...

A:   D1 D2 D3 D4 D5 Supply S1 100 150 200 140 35 400 S2 50 70 60 65 80 200 S3 40 90 100 150 130 1...

Q: Determine the general solutions of the following non homogenous linear equations. 6. (D³, D) y = x

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Q: Determine whether each of the following coverges conditionally, converges absolutely, or diverges. S...

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Q: 2. Find a 3 x 4 matrix R for which the null space of R is spanned by the vectors -- -E 0. v = u = Hi...

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Q: a 4 Evaluate 2 nch2) where a i anotant.

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Q: 1. Consider the following system of linear equations: T1 + kx2 = 2 kai + x2 + 3 = 1 x1 + x2 + x3 = k...

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Q: Drawa direction field for the given differential equation. Based on the direction field, deternine t...

A: We will use basic knowledge of calculus to answer this question.  

Q: Consider the expression VP(1, 2) Select all the statements that are true (a) This represents the flu...

A: consider the expressions ∇P1,2 it represents pressure gradient (1) it  has S.I unit pressure per met...

Q: 2. Define two ordered bases B = and E = on R³. (i) Find the vector vị of R³ whose component vector w...

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Q: XE 2 Then 9 is, H-w Diso Disc 9:21 2 such That goo =zX, Sprove That. %3D 7. ctute

A: g:Z→Z such thatg(x)=2x For proving one-one/injective Let x1,x2∈Zg(x1)=g(x2)⇔2x1=2x2⇔x1=x2 So, g is o...

Q: A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cen...

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Q: Real numbers are either rational or irrational Select one: O True O False

A: 1) True Real numbers is union of rational and irrational numbers. They form a disjoint set. So every...

Q: uation for the rea

A: It is known that any complex number is of the form z=x+iy where xx is the real part and iy is the im...

Q: An important and very useful exact differential to (2y² + 2x² + y)dx – xdy = 0 а. Inx y c. InY X b. ...

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Q: PROBLEM 1: int. e^sinx dx/secx PROBLEM 2 : int. e^1/x dx/x2 PROBLEM 3 : int. e^inx dx/x PROBLEM 4 : ...

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Q: ɔ in the figure Riemann sun

A: Given as, Strip width= ∆x, Strip height= 5.

Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates L...

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.