Q#02: Show that 2リー33+5 -- t, esint 3.

Q: (I'o67 =7 %3D 2. of

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Q: / Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

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Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: 222 – 7z (z – 1) (z – 3) - -

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Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: The Cornev 8-I make outbound A, B. 3. achieve Ax-u38/--12A.B %3D Otrue 2)Err

A: We know that  a×b represent vector product of two vector a and b  a.b represent scalar product of…

Q: 5

A: Given Roll a fair, six-sided die.

Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

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: Describe the long run behavíor of f(r) = r° – 3r° – 2rª + 5 %3D - -

A: The long-run behaviour of a function is the behaviour of the function at its endpoints of the…

Q: 2. 2. 11 11 2 %3D YC-2ィ4 11 42 2.

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Q: b.y" — у %3D 3t + 5, when y(0) 3D 0, у' (0) — 0

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Q: One 56 Use fPicard method to approximate y when a= 2, given that y=1 when r=o and dy da

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: (a) y' = = ing 3t²y y+1' are probler y(2) = 1 biems

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Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: -2t 7. f(1)=3e" cosh (In 2r) in two ways.

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Q: 4. y' xe-), when x=0,y =0 5. 2xy-1+y, when x = 2, y= 3

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Q: メミ-イ -2, glx)={ ax-b, -<x<イ ах- 4, メンイ

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Q: Jk, when = & Case y: 2 Sing

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Q: (ANB) %3D 20<X S 30 OR

A: Question belongs to set theory.

Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

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Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: What is the antiderivative of  (x^2 - 70)/2 ?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: |2/2a| dx -1

A: Ans= 5✓2 =7.071 Just go ro srep by step calculation....you get it easily....go through the solution

Q: 3y(y+7) Simplify (y+7)(v² – 9), under what conditions is this expression undefined?

A: Given a fraction : 3y(y+7)(y+7)(y2-9) We have to simplify it and also determine under what…

Q: If x – y = 4 and xy = k what exp ression is equivalent to x² + y² ?

A: We have, x-y = 4                           ......1xy = k2                             .......2 To…

Q: You are driving your car away from home on a road trip.  After 4 hours, u are 191 miles away.  If u…

A: The distance covered in 4 hours is 191 miles. We need to find the time required for travelling 316…

Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

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Q: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

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Q: 20TH MAHH, Determine The deriva )y=3e* +916 4x t I +

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Q: Use substitution method to prove step-by-step that (PAQ)^(P = –(Q^R))^(S = R) = ¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: $ Find the goneral Solutim of the differen tial equatim : (D²-60 +10)y =20-e2x

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Q: : VERIFY USING CONVOLUTION 5(s? t1)

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Q: = -4rt ; when t = 0, r = ro 1. 2. xyy' = 1+ y? ; when x = 2, y = 3

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Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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Q: Given f(*, y) = 8a'y - 4cy. Compute:

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Q: The Cornev 8-I 3. make outbound A, B achieve Ax-uE8/-12.B 17true 2)Err

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Q: ®use Divergone Inconem +2K %3D S:bunded by - *y2 $ 7=4

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Q: /| +* dA; Ris y² + 2² < 2.

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Q: then, a:b=2:63 %3D 9s it true on balse ?"

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Q: What is Af and df of * 12.8 y = if x1 = 10 and x, = 10.24 ? %3D

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