(а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

Q: y"+y' - 2y = x2

A: Solution :-

Q: limx→∞x3+26x2−x=

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Q: (x+2) (x-5) =0

A:

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

A:

Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

A:

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: x2 + 5 2. lim 9x4+2x+4

A: limx->∞x2+59x4+2x+4

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

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

Q: 3x2 - 7x • 2 %3D

A: Solve for factor

Q: 5(1-x)=6(1+2x)+5  What does the x equal

A:

Q: av2 (x³ – 2)(2a? – x²)2 dx

A:

Q: k(x) = −x2 − 6x + 7 k(radical of 6)

A:

Q: Linda planned to spend 9 hours practicing piano his week. By Tuesday, she had spent 2 1/2 hours…

A: Introduction: A fraction represents a portion of a total. This entire area can be considered a…

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

A:

Q: l6x-5 x²2x-1o 1Əx²-x-6 ax-9 3x+4 12x2-29x+15

A:

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

A: We will solve the problem

Q: (x-5)(x+5)=0

A: We have to find the solution

Q: x)=x2+8x+11 complete the square by entering correct number into the expression f(x)=(x+()²+()

A:

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: P(x)= 1.0 x2 – 5x – 4x +20\ 2 + 4.0 + -20 (2²-5x -3x+15) (x² - 4x-3x+12) 2

A:

Q: x - 24x + 144x 3 x° -12x x3 -24x +144x x³ -12x

A:

Q: 2x2 + 8 dx. (i) | 3.x3 + 4.x2 – 4x Hint: Consider factorising the denominator first. dx (i) / Hint:…

A:

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: (2x² +3)kdx (x² +1}

A:

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

A:

Q: x2 -x + 14 dx (x +2)(x² + 4)

A: We  have to find solution

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

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

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: f(x)=(6x-8) (4x+2)  Find f(-4)

A: For the given f(x) we have to find f(-4)

Q: Differentiate: f(x) = (6x² – 3x)-8 A (96x- 24)(6x² – 3x)-7 (- 96x +24)(6x² – 3x)-9 B (96х-24)(6х2-…

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

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Q: 3x-4x+1 dх X(X+2) (X+3) X-1

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Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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Q: I2+10x lim 14 -6x 2+10x lim 14- 6x

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Q: 22 f(x) (10 )(19 x)(13+2x)(7 2x)

A: Expand the given function as follows.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.