Find the Laplace transforms of the following functions: 1) f(t) = 1 – e' Ans. In(5-L) %3D S 2) f(t) sin 2t Ans. Arctan (2) %3D

Q: Let be a dolynomial honehion, and DE) =x"-dx3. _ 8x2-14x +16 If -2) is a what is facor of He…

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Q: Is that dot between the n and d1d2...dk meaning multiplication?

A: It is not multiplication.

Q: nl(-2x)- 3ln (1422) x + 0 ×ニO (-001)->R if the function ) is value contrnuous what of a al o b) 1/4…

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Q: d²y dx²\(1,1) -x? + y? – xy + 1 = 0 ise O A) 3 B) NONE OC) -10 OD) NONE not exist O E) 10

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Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: flx)= X tah? (X) C 2. f"G) こ

A: We have to use the quotient rule , so we assume u and v and find u' and v'

Q: .) If w varies directly as x^2 and inversely as y^3 and w= 3/4, when x = 6 and y = 2, find x when w…

A: Given that w varies directly as x2. w∝x2 And w varies inversely as y3. w∝1y3 This implies that…

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

Q: -2 2 2

A: A graph of the function is given, we have to find the equation of the graph.

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: f and g functions 1-1 and cover fog (x) = 2g (x) + 3 since it is, how much is f (2)? A) 4 B) 5 C) 6…

A: See attached file for a step by step explanation.

Q: In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The…

A: Given information: The table is given below,   Goalkeeper Jump       Left Center Right Kick…

Q: a.) Γ(7) b.) Г(5) c.) L[t!2]

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

Q: B C 13 a.) Find LA 11 33 D A

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Q: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

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Q: SU ST 24y 50 T.

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Q: 2n? 2 n +1 n=1 5. Give the LUB:

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Q: Solve for x

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Q: Evaluate..(x+.2.y.)dA..„.where.D.is.theregron. sunded. by.the.paradoolas.yz2x.and.y..l+x. 2 2

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Q: The relationship between x and y, where the purchase price of a good is x and the selling price is…

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Q: flx). a/2)=6x+6.and hlx) -alA 88

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Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: (4) Consider the statement "There exists an even integer n, such that for all rational number q, we…

A: Statement "There exists an even integer n, such that for all rational number q, we have n²>q"

Q: b) d dメ tan x

A: We have to differentiate tan-1x w.r.t. x Let y=tan-1x      x=tan y On differentiating w.r.t x

Q: Given that D/d = √f + p/f – p, express p in terms of f, d and D

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Q: 2t 0lcé.cosh 3t)

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Q: B 11 a.) Find LA 17 A 18

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Q: -4x 2.) y = required:a) find the value of y if x = 1

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Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

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Q: Construct a truth table for the following statement. ~r^~s

A: In this question, we have to complete the truth table for the given statement ~r∩~s

Q: [(3+ csc² x) dx = , r 3x- cotx+C a) 3x-3 cot x+C c) 3x+ cot x+C d) 3x+3 ta

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Q: 14) Find CA 12 14 3+3x L. 4x+1

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Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

A: Function value

Q: 00 Identify the formula used to find the volum 1/3 1.) 2.) A.) V= L-W H B.) V = ar²h A.) V= L W H…

A: 1)