Express the given algebraic expression to its simple form. -x2 + x + 2 _ 12a²-21a. 12 a- 28 a (x²-y') (x +y)' x2- 3x+ 2

Q: 3) 40% of x is 35. Use your equation to find x. * Your anewor

A: We have to find the x

Q: Let α(x) = ex2 . Verify the identity (α(x)y)' = α(x)(y' + 2xy) and explain how it is used to find…

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Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

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A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: Write down the characteristic equation and find the general solution to x'' - x' - 2x = 0.

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Q: 3. Sum of coefficients of terms which contains integral powers of x in the expansion (2+ /x )30 is-…

A: We have to find sum of coefficient of terms which contains integral power of x:

Q: 2+81 0, Show that the sum of the four roots of the equation is zero. b) Given that f(z) =z' + 8x+…

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Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: 7. Find the value of h(2) given that (ho gXx)= 4x +4x+4 and g(x) =2x + 1.

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Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

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Q: f(1) = 3e " cosh (In 2r) -21

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Q: 5) Solve xy' + y[1 – In(xy)] = 0 by using a suitable substitution in terms of x and y.

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Q: It is possible to rearrange the expression 1 ax + b + x - 1 into the form Rx² + Sx + T x - 1 where…

A: SOLUTION IS GIVEN BELOW

Q: A quadratic equation x4-x-8=O is defined with an initial guess of 1 and 2. Find the approximated…

A: We need to find value of x2 using secant method.

Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

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Q: Find all the separable solutions to the equation 0 0 и, (0, г) %— и,(1,1) 3 0, г>0. Ин — ихх + и…

A: In the given question we have to find the solution of the given non homogenuous wave equation s.t…

Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

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Q: 5. (a) sech 0 (b) coshl1

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Q: 12. Show that the equation z + iz + 1 = 0 has neither a real root nor a purely imaginary root.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: If x1=2, Xn=4X(n=1)–4n Vn22. Find the general term xn

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Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. x-1 А) True B) False

A: We know that algebraic substitution is method in this replace the veriable of integration by a…

Q: Solve the following Higher Order Non-homogenous DE using Methods of undetermined coefficients…

A: Given,y'' -2y' +y=3x+2A second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over ]3,4[ 12,31 O 11,21…

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Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

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Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: Now 25 -> 25 X9 >9 (n- 6X+) +25 (y=4y+1) = 225 -> 9n2-54X+ 81+ =>9n+25y54x-1004+181-225= 25y? 100y+…

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Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

A: -2x2+4x +2 = 0Dividing Both the Sides by -2x2-2x-1 = 0Since the coefficient of x2 is 1Move the…

Q: 5. Show that the equation (2y – 6æ) dx + (3x – 4x²y=') dy = 0 is not exact. Show that the polynomial…

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Q: 5(7+ j2) Q1\ Simplify (2+ j5) + 3- j4 - j(4- j6), expressing the result in the form x +jy.

A: Expand 2+j52 as, 2+j52=22+j52+2×2j5=4+5-12+20j=4-25+20j=-21+20j

Q: Solve for x. * 7 J 3x+1 11 -6 -11

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: It is possible to rearrange the expression ax² + bx + 1 x +1 into the form T Rx + S + х+1 where R, S…

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Q: 3 Г 3 +x = 2. - -xT secIX 4 .a O T COsecTX bO 4 +> T COseCTX .c O - +x2 4 T secTX .d O -

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Q: 5(7+ j2) Q1\ Simplify (2+ j5) + 3- j4 -j(4-j6), expressing the result in the form x +jy.

A: J^2=-1

Q: Prove that there is a solution of the equation 2° + x² + 4 = 0, x in R.

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Q: (1+2 In æ)*

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: 32 1 xy+- |dydx Evaluate: 2 1

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Q: 5. Let a > 0, find the "generalized solution" to a" + 3x' + 2x = 8(t – a) with x(0) = 1 and æ'(0) =…

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Q: #9a using Descartes's rule of sign

A: Given equation is,

Q: Graph the functions

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Q: Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? = z(x, y) to…

A: Given- Suppose dydx = fymx To find-  Given yx0 = y0, when does this equation have a unique…

Q: 4) To find the root of the equation x2- 6 = 0 by using the fixed point method in [1,2] one of the…

A: Fixed point iteration method

Q: 8. Let x = 2 sin 0, -n/2 <0< T/2. Simplify the expression V4 - x?

A: Given: x=2sinθ for -π2&lt;θ&lt;π2 To simplify: The expression x4-x2.

Q: 3x+4y-2z+ cos6x+9 exp(x)=-9 5x+2y+z=-3 x-y+5z=-11

A: Note:- This system contains some trigonometric terms. so, we'll use graphical method for solution.…