(8) Find the indefinite inegral. 2.r3 – 11r? – 2x + 2 2.r2 + x – 1

Q: ExJ Describe the values of aoia, and ag such hat + Qi fj + Qg f +2. Furthermore, find the eror term…

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Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

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Q: Let T: RP → R be defined by T() = Aã where -2 3 11 A = 1 -2 1 -1 -3 4 and let 6 %3D What is the…

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Q: Q4) Find the deviva tives of the follocoing (9) y = ( In xe) %3D (b) Sec ( ²+1 %3D

A: Part A -  We can observe that the power in the expression on the right-hand side contains the…

Q: tet z lbe defined implicity as a fyction of Ÿ andy by the equatioy ) ē+ coscxy) = (4-32)(2+28) 9. |…

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Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O…

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Q: S(x) = r-6a2 +5r-8 %3D If r a at the inflection point of f(r), what is a =? SUBMIT

A: Calculate the first derivative of the function fx. f'x=3x2-12x+5

Q: Suppose that f(x, y) = e-2r² – 1y² + 2x +8y then find the discriminantD= faz fyy – fay- Question…

A: Solution: The objective is to find the discriminant

Q: 10e? dz by residue theorem, where C'is the contour z| = 2 1:4 + 52ª Evaluate

A: Complex integration

Q: What is the degree of the DE A B 4th degree D 3rd degree C no degree с 5th degree ay 3-)²-(2²) əx²…

A: Solution

Q: x+ 3 b. J, x2-3x- 10

A: Trapezoidal rule: ∫abf(x)dx =(h/2)[f(x0)+2f(x1)+2f(x2)+2f(x3)+.....+2f(xn-1)+f(xn)] where h=step…

Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

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Q: dy 24. Find dr? in terms of x and y. 6-8xy 9x-5y %3D

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Q: 5. Find which of the following quadrature formulas are of the interpolatory type. Show your…

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Q: the extremum of f(x,y) = 7x²y² +5y² 9x?. +

A: Given that: f(x, y)=7x2y2+5y2+9x2

Q: J 5(x) =-J5(x) ylgn O İhi O

A: We have to solve given problem:

Q: Find the extremum of f(x,y) = 3x²y² +5y² + 5x?. Answer:

A: Given:- f(x, y) = 3x2y2+5y2+5x2 To find:- Extremum of f(x, y)

Q: niblori ot (xOR ouneven ent (0)? Explain. g d. Is (fg)(0) = %3D

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Q: ∫(5e5√y/√y)dy That is 5e to the (y to the 1/5)

A: We have to find

Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: Find the extremum of f(x,y) = 7x²y2 +4y2 4x2. Answer:

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Q: 2. f: (R. d) -→ (R, do) is cont inuous at 2 a. True b. False

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Q: g(x) is concave down at (-7,-3), concave up at (7, 10), and has an inflection point at (2, 4).

A: Given :- function is concave down at (-7,-3) concave up at(7,10) and inflection point is (2,4)…

Q: Comsder the qunchion g: [-3, 0) to R dezined! by gex = (x+3)?+s 'Fnd y guny pl and thoding its…

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Q: e^3z analytic or not ?

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: Find which of the following quadrature formulas are of the interpolatory type. Show your analysis.…

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Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

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Q: on the interval (0. r³y" + 6x³y + 4xy' - 4y = 0

A: x3y'''+6x2y''+4xy'-4y=0 Its a Euler Cauchy differential equation. Hence it has solution of the form…

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J = exp(-x²)dx = Se

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Q: Find the extremum of f(x,y) = 5x²y² +5y² + 6x?. Answer:

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Q: d²y 1. Find dr² where y = (5 – 3x + 2x*)-4. Do not expand the obtained answer.

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Q: thereducedsystem yBY -t -t it CI

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Q: H.w Teste for Continuity of the follaerg fx) = 2+ 42-1 2- frx)= ース x) = d4-2z? frxs = とチー %3D ズ+ .…

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Q: Can someone help me explain why my teacher mutiplied the equation by (x^4)' in step 2? I thought I'm…

A: Given,

Q: Q3/ Find length of the cardioid r=a03from 0 = 0 to 0 = t %3D

A: By using length formula we find the length of given cardioid as follows :

Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y² + y

A: Given differential equation is 2xy'=10x3y5+y The above differential equation is solved as shown…

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: 6e? Evaluate dz by residue theorem, 9z4 + 45z3 where C'is the contour z = 2

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Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

Q: (2n+xr 3x) at x=z? 9lwhat is the value of

A: Please refer the attached image for complete solution.

Q: 2e Evaluate dz by residue theorem, where Cis the contour 2 = 2 c 9z4+45z3

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Q: Find the cdf of Z = 5(Y – 2). Write your final answer as a piecewise expression as was used in the…

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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

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Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Write a in the form a = arT + an N at t-0 for R(t) = t2i +

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