8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C. 2 ſuu² - 4}du D. Juu² - 4°du

Q: y dy J 725 – 16y 2.

A:

Q: 6x2 + 23х — 9 -dx х3 + 2х2 — Зх

A:

Q: Stan5 x sec³ x dx

A:

Q: dz 6. [0]. z-a

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Q: lo. X-ya 3 3x + 5y 31 14. 3x-4y 2l0

A: Solve by algebra

Q: of ду

A:

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: 3. бу?dx — x(2х3 + у)dy %3D 0

A:

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

Q: リーダゾt24 Fixe 2

A: To solve the differential equation y'' - 9y' + 2y = 7e^7, we first find the homogeneous solution by…

Q: 2x3+x-1 4. S x3+x2-4x-4

A: Given: ∫2x3+x-1x3+x2-4x-4dx Suppose I=∫2x3+x-1x3+x2-4x-4dx

Q: Multiply: (6r°y")(-3x°y) b. (10x*y°z^)(3x*y°z²). а.

A: Solution: (a) Consider the given products are: 6x5y7-3x2y4 Further simplifying we have 6x5y7-3x2y4 =…

Q: 1 еУ || Vx dxdy о у y

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: -2e dx

A: Given : The integral is ∫ - 2 ex dx .

Q: Evaluate -5у-5 dy 31. Jv+2y-4

A:

Q: [-3i-2j]-[-2i-5j]= ◆ 2 + j

A: We have to find the subtraction between the given vector functions. We have, -3i→-2j→--2i→-5j→

Q: Perform the transformation. write csc X in terms of sec X. A.)土VSCC2メー1 B.) Isecxvsec? X-1 C.) I J…

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Q: 4. y=-글고+3 402-10

A:

Q: - 5 = 24 + Z = -1 2x + 34 = 2 -y-2Z = (Mabrices), find of Z Ron Rescaling

A: The given system is: -x-2y+z=-12x+3y=2y-2z=0

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

A:

Q: y" – 25y = 0

A: Given: the given differential equation is y'''-25y'=0

Q: 2ェ+ 3z d 平

A: We can find the integration as below

Q: Use Use your Exponent Rules to Simplify (4r* y" 2² ) (xy") 4a° y1 3 4.x 213 ,10 46,10 6,10

A:

Q: (1+2 In æ)4 6.

A: topic - indefinite integral

Q: Convert y = (x– 3)' + 6 to standard format. %3D

A: The vertex form of a quadratic equation is y=a(x-h)2+k , where, (h,k) is the vertex. The standard…

Q: 1. a) y = Differentiate the following and simplify: 2x3. (2x2 - 1 ) 3x²+1.

A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: 23. Select the expression that simplifies to æy10z -1.3 O -lyz

A:

Q: (2x³+x-1)dx 1. S x3+x²-4x-4

A: