Integrate: S(6z3 — S (6x³ 12г? + 10г — 9) dr

Q: ude of x and y. (7x+18)° (5x-6)° (ЗУ+11)°

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Q: Differentiate: y = V2 – 3x2

A: As we know that; The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: y=2-3x2 So, we can…

Q: 2 Find 2 y5)(x+6X

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Q: Differentiate: y = (2a° – 4x² + 8)* (2² – 5e³*)²

A: Product Rule of Differentiation : ddx(uv) = ddx(u) · v + u · ddx(v)

Q: - x 4x – 8y + 32z = 24 (2r – 3y + 11z = 4 y + 3z = 3 43.

A: 43. The given system of linear equations is x-y+3z=3…

Q: Use matrices to solve the system.

A: Given The system of equation is  2x-y+4z=8-3x+y-2z=5

Q: Evaluate dz. 23 x2+1

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Q: I e wing pofial fretins. Integante AS. 7x² - 13x + 13 (x-2) (xt- 2x +3)

A: ∫7x2−13x+13x−2x2−2x+3dx

Q: Differentiate. 3 3 y= Vx + 12x +4 -x y' D

A: y=x3+12x+43 ·x3y=x3+12x+413 ·x3y''=ddxx3+12x+413 ·x3…

Q: Integrate using the integration by substitution method. (7x6)/(x7-6)

A: Apply u-substitution method to evaluate the integral. Use the formula ∫1xdx=lnx+C.

Q: 4-3x Y= 3x2 +1 by using quotient rule.

A: The given function is y=4-3x3x2+1.

Q: What is yp using method of coeff. (D° + 3D + 2D)y = 3x + 5x + 9

A: follow next step

Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

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Q: 3. y = V(2x + 5)3

A: (3). Given: y=2x+534   The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1

Q: Find / 5zvz – 1 dz 22 - 1 dæ

A: We have to integrate ∫5xx2-1dx.

Q: Differentiate: t2 Y : 3t2 + 7t – 1 ||

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Q: Evaluate: / (8t – 9t² + 7)dt

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Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: D. 32x+1 = 31-x %3D

A: Solution:

Q: Find Ə2z ?хду of z = x3 + 5x² y + 6

A: The objective of the question is evaluate the partial derivative .

Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: y = 2 3D2

A: Here, we need to plot the graph of y = 2.

Q: y=x² --²Arcsin(7x) .3 X' 4°

A: We have to find derivative

Q: V10 r (Vx² + I – Væ² – 1) - - V5 Vx4 – 1

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Q: Б 2 dv v2.+ 6v - 7

A: Given integral is,∫2∞dvv2+6v-7 We have to find its value. We will use the formula:…

Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

Q: -2x Z = 19 7z = 24 4y + 5x 3x Z = 8.

A: In this question we are given with the system of linear equations and we have to find the…

Q: How do I differentiate this?

A: am*n=(am)n

Q: fx)-Sx+2, xs4 %3D (Cx+8 x>4

A: If the function is continuous, then f(x≤4)=f(x>4) at x=4 So LHS i.e. (x≤4) at x=4 is…

Q: Solve the system of linear equations.

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Q: - Find mZB. (9x + 2) (Sr- 4)° D

A: As per our guideline we are allowed to do 1 question at a time. Please post other question next…

Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6%…

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Q: y+4 =-V2x

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Q: -2x +y+ 6z =1 3x + 2y + 5z = 16 7x + 3y – 4z = 11

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Q: i. xsin 2 y+ ysin 3x15

A: 4(i).  Given: xsin 2y+ysin 3x=5 Rewrite the function f(x)=xsin 2y +ysin 3x-5

Q: y= 2x +1

A: y=2x+1

Q: y" + 3y' = 6 %3D

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Q: hy?

A: The expression given as, 2∈2. In the set-roaster notation, all the elements of a set exist between…

Q: 2x + y + 6z = 7 3x + 4y + 3z = -8 x - 2y4z = 9

A: According to guidelines we solve one question .thanku.

Q: 5(x+4)%3D5Cheek: 42+5 =D3火+10check

A: we will check the truth of the equation.

Q: -3r7(구-4z + 2)

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Q: (2r + 29)* (9x – 13)°

A: Solution value of x=6.

Q: a. 4x²2 + y = 4, x4-y=1

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Q: 41. y = 1sxS 2 %3D 2x'

A: Given To evaluate the definite integral that represents the area of the surface generated by the…

Q: 3x+ y = 5 6х-2у%3D4

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Q: 9. y" — у' — 2у %3D -2t + 4t?

A: Given: y"-y'-2y=-2t+4t2

Q: Q7 Integrate by completing the square: dx 16x2 + 8x + 2 08 Integrate by porto:

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Q: 2y + 4z – x = 52 3z – y + 5x = 72 3y – 7z + 2x = 10

A: This is a problem of calculus of several variable.

Q: 28, Y= −x2 – 2x + 9 y = 3x + 20

A: We have to find out the solution