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Q: f(x)=−0.5⋅x^4+3x^2 what are the interverls for concavity

A: Given:

Q: Find curl (7z i + 8x j+4y k).

A:

Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: y2 – 9 lim V 2y2 + 7y + 3

A:

Q: dy Find for the following by using appropriate rules: iv. x² + y3 + (lnx)e♥ = 4. y = Vx(3x2 – 1) V.

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Q: f(z) = 4z and g(z) = 8z² . e them by comma)

A:

Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &, fy = 6x²y + 8y  &, fxx = 6y² + 16 &,…

Q: (a) (Xn+r)nzo for fixed r≥ 0,

A: Markov chain: A Markov process with discrete time and discrete state space is known as Markov chain.…

Q: Q2/ A/ Find the and ar * iff (x.y) = x - xy, x=r² +s and y =r-s as

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Q: dy Suppose that 2r² – xy + y² = 1. Find dr

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Q: Find curl (4z i + 5x j+ 3y k).

A:

Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Мaximize z 3 2х + у За + 4у < 36 6x + 2y < 36 Subject to Маximum is at y = VI VI ЛІ ЛІ II

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Q: Q2 Given that z = 8x2y - 2x + 3y, x = u v, y = u – v %3D az az and ди Find av

A: To find dz/du and dz/dv.

Q: af Given f(x, y) = In(7x² + 9y²) then

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Q: Q2. Find of y = 4x/x + v at x=1? dr

A: We have to find the dydx of y=4xx+x at x=1.

Q: Q3. Find y= fx) such that y

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Q: · (D² + 3D + 2)y = xsin 2x

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Q: J 5(x) =-J5(x) ylgn O İhi O

A: We have to solve given problem:

Q: f'lx) = lim - 2x + 2x %3D (X+Xxj? 2

A: To solve lim∆x→0-2x+2∆x(x+∆x)2, plug in the limit and obtain -2x+2(0)(x+0)2.…

Q: For f(x) = x³ – 2, xo = 100, x1 = 90 calculate c2 by using the secant method. X2 2 Submit the Answer…

A: Here f(x)=x3-2,x0=100,x1=90. We find x2 by using secant method.

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: 5. y = xArctanx - In v1+x

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Q: Not sure how to start problem

A: Given functions are We find g(f(x)) by replacing x by f(x) in g(x)

Q: There does not exist r E Q ə r² = 2 ylgn ihi

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Q: %3D 3. If GH = 7x + 18 and JK = 81, find x. H G 丰 K 廿 世

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Q: %3D then przove that .cūxR=0 and vxcãuFR)= 2Ù

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Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: lim ( Vy? – y) y² + y +1 – y00

A: limy→∞y2+y+1-y2-y

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: W = / x2 + y² + z² Find Wx, Wy, Wxz,Wyy, Wzyx %3D

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: y = x2 - 2x over the interval (0, 2]:

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Q: if y=Asinx+Bcosx then prove d2y/dx2+y=0

A: Given,

Q: If x – y = 4 and xy = k what exp ression is equivalent to x² + y² ?

A: We have, x-y = 4                           ......1xy = k2                             .......2 To…

Q: z) = x' - 4r – 12:r² + 32z + 1- by commas. Enter exact values, not de

A: Find all the real zeros of f(x)=x4-4x3-12x2+32x+15. Given that f(-3)=0, f(5)=0

Q: dx Use a trig substitution to evaluate x³ Vx² x > 1. 1 6. -

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Q: lim (2,y)→(1,1) 2a2 – ry – y? 2² – y?

A: Evaluate the limit

Q: f(x) = v2x2 – 13 s %3D -

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: Sove the IVP y" + 2y' + y : if 0 4

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Q: . lim 4y9 + V y--00 /y18 – 1

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Q: nimize Z = (-1)*(X, abjected to, X, + X2 + X3 s 7 + X. - Xo <-

A: Introduction: The Simplex method is a method for solving linear programming models by hand by…

Q: Find curl (2z i + 3x j + 6y k).

A:

Q: Find d²y/dx2 for the followi f) x2/3 + y2/3 = 1 %3D ³ g) x + y = 16

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.