What is the coefficient of x^12.y^13 in expansion (x+yY 25

Q: 2. [L-4) 5 (y+3)*

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Q: So lve メi4,3. &メ ーツ +豆 =4 X + 3y -Z =l| 4x + リーZ =14

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Q: (22-4) (교3-4z)3 dz

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Q: Eliminate the arbitrary constant in cy^2 = x^2 + y. *

A: To eliminate the arbitrary constant in the given equation.

Q: find the most general antiderivative of 5x^2+square root of x

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Q: Qvestivr C-

A: question on co-ordinate geometry

Q: 2. Differentiate: y=7*in¨"x

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: a) Lin 5) x2+2y2

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Q: Integrate: S (2r – 3) (3r² – 9r + 5)°dr

A: Integration: - Integrals are the values of the performance discovered through the mixture…

Q: Explain why the Power Rule cannot be used to evaluate the integral (2x4 − 5)8(8x)dx

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Q: Find ALL antiderivatives of 7x2 + 9x - 5.

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Q: What is the value of the 4th term of the expansion of (y+2z)8

A: We have to find fouth term

Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

A:

Q: Chenge to Poloy -V3 +2Ź

A: Here we use complex number property to find polar form.

Q: 1, z2ー

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Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

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Q: between z = -2.06 and z = -0.54 Area:_ to the left of z = 1.53 Area: to the right of z = -1.34 Area:

A: Given, between z=-2.06 and z=-0.54 To the left of z=1.53 To the right of z=-1.34 To find the area

Q: x+5 9 – (x – 3)²

A: Given: I=∫x+59-x-32dx    ....(1)   We know the trigonometric identities; (1). sin2x+cos2x=1 (2).…

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: а. In(3x — 5) %3D 0

A: we have to solve for the exact value of 'x' (1) ln(3x-5)=03x-5=e03x-5=13x=6x=63x= 2

Q: 1 zp- A) B) is larger than 17

A: The given integral is ∫1∞1x5+4 dx We have to determine weather the given integral is larger than…

Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: Use a table of integrals or 6. 1 dp- x² -4 3

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Q: How to get rid of a radical

A: A radical is a term with one by nth power of the variable. The radical sign is as shown on the white…

Q: what do you get when you expand x+4/xy^2?

A: We can make it easier for you

Q: 2Evaluate the integral sing Integration by parts. Sx22dx Kuse symbolic notation and fractions where…

A: The given integral is: I=∫x23xdx From the rule of integration of parts, ∫udv=uv-∫vdu

Q: The area that lies between Z= -1.95 and Z= 1.95 is

A:

Q: 3. Evaluate the improper integras: -0.5x +5+5 (a)

A: Part(a) Given:  Evaluate the improper integral.

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

A:

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: Evaluate the integral 10 S₁ 15x-3 ldx

A: This question can be solved using the concept of modulus function. As per modulus function a=a if…

Q: integrate the fallowin 4 (usın'sx lx

A: Given: The trigonometric identity that can be used to simplify the above expression.

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: 1) x² + 9y² + 9z² = 81 2) 9x2 + y² + 9z² = 81 3) 9æ? + 9y? + z² = 81

A: Given equations 1)x^2+9y^2+9z^2=81 2)9x^2+y^2+9z^2=81 3)9x^2+9y^2+z^2=81

Q: 11 ,5 -2d*¨f -2 2 4df

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Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: of th

A: Option B is correct.

Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

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Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: What is the coefficient of x'y' when (x – 2y)² is expanded using the - Binomial Theorem?

A:

Q: Evaluate the integral. r1/2 xp VZ14 SV16X2 - 1

A: From the given problem:   I=∫2412dxx516x2-1 .....(1)   Let,…

Q: Find the antiderivative of (2* square root of x) + (3/x^4)

A:

Q: Evaluate the integral. 5) 5.7x 5 dx 9 - 4 A) -- In|9 - 7x |+ C B) -5 In|-9 + 7x | + c 5 C) In|-9 +…

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

Q: What is the coefficient of the term containing x^2y in the expansion of (4x+y)^3?

A:

Q: 1l X O8XIX

A: Calculation:Obtain the real roots as follows.From the given equation, the values of a, b, c are…

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method