Evaluate L{3et sin 2t} 6. a) s2 + 4s + 8 6. b) 52- 4s + 8 c) s2 + 4s – 8 s-4s - 8 a 6o

Q: Simplify 6. 6 x³ ( 4 x6 ) 7. x6 ( x° ) 31-2 2(x- 8. 5 (-3 x7) ( 6 x7) (- 2 x4) (- 9 x4) 10. (12 x )…

A: Expressions are given, we have to simplify it.

Q: What is the simplified equivalent of 2- 3-z 3-2z エ-5ェ+5 3-7 -5z+7 3-7 D

A:

Q: +16x2 8-2 30 +4x 8-2 306 4- い当 V9zetx16 C-2 48-2 る X42 X 40. こ122

A:

Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

A:

Q: What is equal (1+5 k+3 j) (1+2 i+3 k) ^{- 1} Write the coefficient at j & k ?

A:

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

A:

Q: Select all expressions that could be equivalent to bis negative x²+ bx-36 where a) (x+3) (x-12) b)…

A:

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

A:

Q: Choose all factors of 21xy+18x+6xy^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A: Consider the expression

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: (7a - 5b + 2c)- (-6a+8b - 4c) (7a - 5b + 2c) - (-6a+ 8b – 4c) =

A:

Q: [-27-2j+3w]-[-67-5j- 3w] + + W

A: To Compute: -2i→-2j→+3w→--6i→-5j→-3w→

Q: Evaluate: | 72³ · sec² (2³) dx = | Upload your handwritten work in the box below:

A: Use the method of substitution then integral by parts.

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: 17) (12 – 8j)(4 + 3j) + 10

A: To expand by multiplying each term and adding them

Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

A:

Q: Express -25 22+7x+10 in simplest form. Show all work.

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

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: If 8 = (AB) - (AB)o, then with usual notations, prove that [(A) – (a)][(B) – (B)] + 2N8 = (AB)?+…

A: Given:-                A-αB-β+2Nδ = AB2+αβ2-Aβ2-αB2

Q: 1. Hewrite fis) h that the mate a iend 43/6-3) 2 le your awer from part tical tes for fia) A-3 ) -3

A: Solution is given below:

Q: Express xo - 9x9 + 2x + 3x -1 in big-O notation.

A:

Q: Express as a polynomial.

A: given: a-ba3+a2b+ab2+b3 we have to express it as a polynomial.

Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

A:

Q: Evaluate / Vx2x/x +1 dx: /2x/x + I dx: 3 (2x + 1) + C 중 금(2xi + 1)' + C + 1) + C 5 (2x3 + 1) +C

A:

Q: 3. Which of the following is equivalent to 4a2- 25b6 ?

A:

Q: 4. Express (-23+ j2) in rectangular form.

A: Let's find.

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: SIMPLIFY THE EXPRESSION AND RATIONALIZE THE DENOMINATOR A) V-64 2 V 2 B) V16a*b 2 C) x'yl2 V 5.x?…

A: (A)      -645 = -265 = -25x2 5= -225 (B) 16a8b-2 = 4.a4b-1=  4.a4b (C) x7y12125x4 = x7y12125x4…

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.