R=(C-S/t)    S (Business)

Q: Find fx, fy, Tz (3x2 + y2 + 2z²) f(x,y,z) = e - fx=

A: f =e-3x2-y2-2z2  For fx ,we take y and z as constant and x as variable.  fx=∂f∂x For fy , we take x…

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: 3) Evolvate Ci(0) e²/z dz е

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Q: ions: a). f(2) = ea %3D 22 +9'

A: As you have asked two unrelated and different, we shall answer first question only as per the…

Q: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: et dt 3/2 +8 e' +

A: Given integral is, ∫ete2t+8et+732dt. It is integrated by applying u-substitution method, Substitute…

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: 1. Evaluate: e 3z I = dz (e² + e5z)2

A: given integral I=∫0∞e3zez+e5z2dz claim- evaluate the integral

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: 12 - y+ ] - dy = |+C

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Q: (w³ + wz² – z)dw + (z³ + w²z – w)dz = 0

A: Let us consider a differential equation  Mdx+Ndy=0  To check the equation is exact, determine…

Q: 3) ATUV = AGFE U G F E V ZU = ?

A: Here we use the property of symmetry of triangle.

Q: f(x, y)=√x² + y², y = 1², x = t

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Q: (t + 2)°y" + 3(t + 2)y' +y= 0, 1>-2, V1 = (t+ 2)

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Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

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Q: (s – s2 – t2)ds + (t + s2 +t2)dt = 0

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Q: z· 3°dz

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Q: = e-t et + 2e²t e2t-3et - е

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Q: d.A, A = {(x; y) E R² : y € [0, 1], x € [y², e-]}

A: Given: I=∫∫A1x34dA   A=(x,y)∈R2: y∈0,1, x∈y2,e-y

Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: Which of the following gives the domain of

A: We have  fx=x9-x2   Domain: Domain is the set of all inputs for which the function is defined.…

Q: f (x, y, z) ) = x² + y² + z²; x* + y* + z* = 1 2. 4 || ||

A:

Q: sーy-xゴャx |

A: Given that y dy/dx -xy^2+x=0

Q: 교고 + z-2 I+ -2, b) f(x) = I+2 -3, I = -2;

A:

Q: 3x²y if (x, y) = (0, 0) + y? if (x, y) = (0, 0) f(x, y) = { x +

A: In this question, we have to check the continuity of a function of two variables.

Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 1² – y (a) f(r,y) = 3 (b) g(x,y) = e"-z

A: Now , We will check the functions .

Q: 4. Y= C, ex + C2e* + X

A:

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: c) L{tU(t – 2)} d) L{sen t H(t – "/2)} e) L-1se- s²+16, e-2s

A: Given: a) Lt ut-2 b) Lsint Ht-π2 c) L-1se-2ss2+16

Q: (1) e(r/2-j)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: SIL- W : x² + y} < 9, 0<z<6

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Q: af(x,yz) -

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Q: (c) y" - ry +y = ', y(1) 1, g/(1) = -1, r>0

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Q: 2. x'y-x'y 12 at (-1,2)

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Q: 3z dz; J(1-4z-2z²)² 3z 3z dz 3 – 2 (z + 1)2 ° dz [3 – (z + 1)²]²' Option 1 Option 2 3z ;dz 3 – (z +…

A: Find your answer below

Q: C(-4,0) andr = 3 (x – h)2 + (y - k)2 = r2 0 = 1 + + +A + zX

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Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

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Q: 35.ty′′+(t2−1)y′+t3y=0,0&lt;t&lt;∞

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Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

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Q: 4x1 -5x2 +3x3 +3x4 4 -I1 +x2 +3x3 +3x4 4 3x1 -4x2 +6x3 +6x4 8 -3x1 +3x2 +9x3 +9x4 12 +s +t

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Q: e3x-y+z (e*)³e² ey True False

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Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and…

Q: an = Vn - Vn + 1 S1 S2 S3 S4 Sn II

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Q: y" = 4(y-x), 0 sxs1, y(0) = 0, y(1) = 2, %3D

A: To check: given 2(a)  has unique solution.

Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

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Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.