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Q: Find the general メニ 2メ キ+1 o=+f+1 sece.

A: To find The general solutions of the given differential equations.

Q: Give the general solution to the equation x' Ax where A = %3D

A: To find the general solution of the given system, first we find the eigenvalues and corresponding…

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: sast(ZayLor Serie) 2-X (MaclurinSones

A: We have to find the Taylor's series of the function fx=12-x about the point a=1 and then we have to…

Q: ☺ cosh"z= Loy {2+/2

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Q: Match the expression in Column K (numbered) with its exact value in Column L (lettered).

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Q: Q.1A) Evaluate 2 (4-x*) 4 cosy dydx 4-y

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Q: 7. x+y (2r +2y-x)' at (0, %) -4 at (-3y3. 1) 8.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dx x3+27 8. Evaluate

A: We have to find the integral

Q: Between z = -2.76 and z = -1.25 To the right of z = 2.35 To the left of z = 0.35 To the right of z =…

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Q: エ- Se -2 X e "sinzxdx %3D Sinzx-

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Q: sec2 (e* – 7) dx

A: Given integral ∫ex sec2ex-7dx

Q: 4. Differentiate the following. Justify every step. Simplify your answers. (3x²-s)* y = T6x+i (ii)…

A: Given: ii y=3x2-556x+1iv y=x2cos x3  To Find: Differentiation of the given expressions

Q: Ex. Evaluate the JJex*+2xy+y*) dydx when s tep (x²+2xy+y=) dydx when step Size of X = 0-2 and step…

A: Given: fx,y=x2+2xy+y2 Given step size of (say hx) x=0.5 and(say hy) y=0.5 we need to Evaluate…

Q: 432 SSS2dx dy dz 101

A: the given integral is triple integral .

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: Q2: Gives the values of sinhx, coshx ,and find the values of the remaining five hyperbolic…

A: Since, we sinh(x)=43Since, we know that cosh2 (x)-sinh2 (x)=1⇒cosh2 (x)-169=1⇒cosh2 (x)=169+1⇒cosh2…

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Find th

A: We know that the length (s) of an arc of a circle with radius r is given by: s=rθ where θ is the…

Q: 2t + 3 r(t) -, In(t² + 2) t2 +1

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Q: 3t. y-e x(0) = 2

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Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: True or False. Justify. dz → 0 as R → ∞. 2z3 + 4 ||zl=R

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Q: find the derivative.

A: We know that , if Then, by Second Fundamental theorem of calculus, we have

Q: +y ntegral %% 0 0

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Q: 3r5 dx V2 – x3

A: ∫un du = un+1n+1+C.

Q: f(x) = (x + 2)3 – 3x + 5 with error e = 0.1 by using False Position Method. Write your answer in 4…

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Q: Last time incorrct solution so carefully explains

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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: 8r2 te V1-4.a

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Q: 13. If DE = 4y -3 and BE = 7y-24, find DB. %3D %3D

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Q: u+ 3z = 5 y +z = 1

A: Matrix: The matrix isA=1211131-11b=451At first we need to find the determinat of A.Ax=b is the…

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

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Q: 1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters.

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Q: ne complementoru y functon of مو"(3.D( (D+3)'y= Sin3X

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Q: y = 2z3 [tan(3z+1)] a + xy – y5 = 8x? y = (x + 3)² (x² – 2)

A: You didn't mention what should I do with the given equations and this problem is posted as calculus.…

Q: u? – 1 du J2x u² + 1 3x - 56. g(x) :

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Q: 7 tan (1/2) dz 22

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Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: 4Sin (x)+6cos(2X) where gco)=2

A: Solution is given as below:

Q: ines: 8. 3 x 4; D = {Integers} %3D -

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Q: 2.3 - y 5e2, with y(0) = 0 and y'(0) = 1 %3D

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Q: The number of hours (h) of sunlight per day in Prescott, Arizona, can be modeled by h = 2.325sin…

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Q: It x= Arctant3, y=/1+76, find the value of a if 2ay" =17 when 1=/2- y' O 2/2 O -22

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Q: 2 4 dx J x/3(1+x²/3) 3 gin

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Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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