Σ (xy- x) = c Σ ( − x) +r 2 G + = 1 i=1 j=1 1₁ 1

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: Explain the difference between the two formulas

A: Given : Z= X-μσ  Z=X -μσn We need to tell the difference between the two formulas.

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: d x4. dx x³J3.a x*J3.b0 X' x³J3c0 x*J4 d O

A: We first write the general form of j_n then we take the derivative of x^4j_4 with respect to x and…

Q: エ+1 dx (7² +2x)

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Q: - x² – 3x – 8 da (а — 1)(ӕ + 1)*

A: Solution: The objective is to find the value of the given integral

Q: dx 2V x3 - 3x Vx In(2 Vx - 3x x)+C O v6nV2 + V3 + C V3 Vx X 1 In 2/2" V2 - V3 Vx |/3x - V7 + C о 1…

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Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: Max Z=3 x1+2 X2 s.to -X,+2x2 <4 3x1+2x2 S14 using Graphical Method X1-X2 S 3 X1 , X2 20

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Q: x2 + 2y2 + 3z2 = 1

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Q: If f(x, y) = %3D

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Q: 2 x+1 2) Evaluate f,“ dx using the substitution u 3 Зх — 2 V3x-2 3) Evaluate f2 e cosx dx

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Q: Let f(x,y) = x² - 3xy-y². Compute f(4,0) and f(4, − 3). - f(4,0) = (Simplify your answer.)

A: If you have any help please let me know in comment box and then I will help you.

Q: 7x+6x+5 dx. Evaluate J(x+1)(x² +1)'

A: Consider the given integral.

Q: 8. What is the probability that a randomly selected student has high stress 9. Given that a randomly…

A: The table shows the stress levels and school district location of the students.

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

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Q: 1 dx V9+8x – x2 Evaluate :

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Q: Ay A'y A'y X y 1-1 -1 -2 2 1 3 -1 3 is given by x² – 4x +2 x2 O x? +2 x2 + 4x +2 4,

A: See the attachment

Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

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Q: show that | | J.(x)dx x² J,(x)dx = x²J¼(x) + x J,(x) – %3D

A: Apply the integration by parts method and use the identity ∫xpJp-1xdx=xpJpx, to evaluate the…

Q: dx 7. JIVa² – 2x + 5 (hint: let æ² – 2x + 5 = (z – x)²) -

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

Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: (x² – 1) d x (x* + 3 x² + 1) tan-1(*-) dx

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Q: 4x = 0 %3D 4y + i = 0 x + y 8 = 0 (х, у, 1) %3

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Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

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Q: (0.52)* ) 1 1+x²

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Q: S(x-ae )Vx² + 2e" dx -ах - ах 11.

A: Let's find.

Q: Find the analystic function f(z)u+iv if u=a(1+cos0)

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Q: If (x+iy)³ = u + iv, then show that

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Q: /2 Prove that 5x1² |π x J1,2 (2x) dx = 1.

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Q: X 4e -aluate of v dx 2 se rationalizing substitution. 8

A: solution is given below

Q: 2 sec 0 r drde = x² + y² dydx %3D 0. True False Reset Selection

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Q: If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

A: Solution A sinusoidal wave can be represented as f(x)=Asin(2πfx+P)..........(1) Where A is amplitude…