5 Given: 21 (x + 7)º, L2 = (2x − 3). ZABC = (x²), ZD = (5x-4)° Show that ZABC= ZD. Ĉ

Q: Use the substitution method to determine / (24x + 5) · V6x4 + 5x + 10 dx.

A:

Q: Simplify: b. V(2x + 7)' V-5y°. а. C. „(ɛ – x)A

A: To solve the given expression, we use the exponential property as, ab=a1b a. The given expression…

Q: Find derivative: (b) y= -3 -3x4

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Q: S(3x + V-) dx (b) Evaluate : ) dx

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Q: (2x dydr Evaluate: 1.

A: convert into polar form :  x=rcos(theta) y=rsin(theta)

Q: Find: 2. fx³jo(x)dx

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Q: (0°+3D+2)yze

A: In the equation it is asked to solve the differential equation given: (D2+3D+2)y=e-xx

Q: Please explain how.

A: We have given a function f(x).

Q: Evaluate: s x 5 √ x² + 4 dx =

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Q: c2 Find (4x + 3y)°dædy

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Q: cosh(2x + 9)dx

A: on doing integration with respect to x we will get

Q: I dx 66. x4 +1

A:

Q: In ACOE, mL C=(5x+18)' mcD =( 3x+2)' and mLE = (x+16): Find m2D.

A: We use Angle sum property of triangle  i.e. sum of all interior angles of a triangle is 180°

Q: |(5z* + 3z*) (4x³ + 3x*)° dæ

A:

Q: 3 27c"A (25)0 3 Co 3. 10 15

A: 1.(27 c4d6) 1/3 = (27)1/3 (c4)1/3 (d6)1/3                                  = 3c(c)1/3 d2…

Q: Evaluate: = -13 [(x + 5y) dx dy -41

A: I = I = I =

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

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Q: 4 Evaluate: ₁₂ (4x²y – z³) dz dy dx

A: We can evaluate the integral  ∫13∫-24∫10(4x2y-z3)dzdydx.

Q: d {(1+x – x²)°} da

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

Q: prove that 16 x (I+x) dx 306

A: The product rule of integration states that∫fxgxdx=fx∫gxdx-∫f'x∫gxdxdx.

Q: Simplify: 3 (4x³y'z*)(16x'y^z*") (4x's ,5, 4 (1}° 18x'y¯z

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Q: SecI te) dx

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

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: P6: x2 dx x² – -2

A: We will use substitution method to solve the integral.

Q: 1 dx -x2-4х+ 12 X.

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Q: Prov that d dx 2cos2x = -2sin 2x

A: Solution is given below:

Q: 1 3 + 4/7 ) dx Find x4 + C

A: Given:  ∫x2-1x+3x4+4xdxwe know that ∫A+Bdx=∫Adx+ ∫BdxThen,∫x2-1x+3x4+4xdx=∫x2dx-∫1xdx+∫3x4dx+∫4xdx…