(15) If X-exp(1), then (a) 2X-exp(2) (c) 2x~exp (¹) O a O b O C Od (b) 2X-X² (2) (d) 2X-G(2,1) is

Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

Q: Which of the following functions is one - to - one? A h(x) = x³ – x² –2x B (x)=|2x – 1| © f(x) = x²…

A: 1) for a one to one, function, or any value in it's domain there will be a unique value in it's…

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A: Given that P(x) : x spends more than five hours every weekday in class. (a) ∃xP(x) This can be…

Q: 4(2x+3)-3(5-x)=2(x+30)

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Q: For

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Q: 65. (x + 3)(x - 3)(4x2 - 9)

A: Given: Let p=x+3x-34x2-9 To Find: To evaluate the given expression.

Q: 2x+1 (x2 +x+1)2 3/2

A:

Q: (X1+X2) (d) and X3 2 (e) X2 and X2 X1 – x3 -

A: We want to find they are independent or dependent.

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: 3{2x-2[x-5(x+4)]}

A: We have to start from inside we first distribute -5.

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

A:

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

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Q: (x-3)-(-8x)/(x+1)+(x+1)x

A:

Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

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Q: -2x+ 4 3) (12 + 1)(x – 1)2a: | + 1)(z – 1)2da

A: We will solve the problem

Q: a. C. .-4 xy-² (-9x²y³ X3x¹y)² (√27x6¹²) b. d. (V16x4) ×5x8 3x 5y³ 25y² 9x v-²)-²

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Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: Can you please revisit 2 (b) , I think it is not correct , especially an+1.

A: Let ∑an(z−a)n be apower series.Then the radius of convergence R=1limn→∞|an+1an| if limit…

Q: Expand and simplify. (a) 4(x + 3) + 5(2x - 1) (b) (x + 3)(x- 5) (c) (2x – 1)(3x + 2) (d) (a – 2b)(a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let f(x) = 4x + 2 and g(x) 5x2 + 4x. After simplifying, (f9)(x) –

A:

Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

A:

Q: A(x)=x3-7x2-16x+112,(x-7)

A: Given:     Ax=x3-7x2-16x+112 , x-7   Divide the leading term of the dividend by the leading term of…

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: x2 + 8x + 15 = (x + 3)(x 4. x2 – 9x + 20 = (x – 5)(x.

A: Givenx2+8x+15we can rewrite 8x as sum of 3x and 5xx2+5x+3x+15taking common parts…

Q: USE SYNTHETIC DIVISION 16 x4 17 x2 2x - 6 ÷ x – 2 -

A: Solving the problem by finding the results.

Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition.

Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

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Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: 2x² 17x + 6 - ہے رہ (x − 2)(x² + 4x + 8)

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: x²-2x-5 (x²)(x-1)

A:

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: 2x2 +x + 1 dx (x+1)(x2 + 1)

A:

Q: \00(X-I\+\Dq{(x+z) 티 1oa(x+2)=1

A:

Q: 3(x+2)(x-2)=0

A: