II. Substitution suggested by the equation 3. cosysin2xdx + (cos²y – cos²x)dy = 0 %3D

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A: Solution

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Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: () - -() n n Proposition 10. Let n and k be positive integers. Then k = n k k- 1 Special directions:...

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: Please see the attachment

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Q: 1. f(t) = -e-3t sin 4t + 3

A: L { sinat } = as2+ a2 , L { eat f (t) } = F ( s- a) where  F (s)  is Laplace transformation of f(t)L...

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Q: Suppose you have just finished approximating f (x) = x3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) = 2...

A: Given suppose you have just finished approximation f(x) =x3 for 0≤x≤α and ended up with φ^ α, x= 25x...

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Q: Find the Laplace transform of each of the following functions: 1. f (t) = t2 – 3t + 5 || -

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 1. The converse of sta...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

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Q: ind the inverse of the matrix, ... -7 -6 4. Choices: -3/2 1/2 –7/2 3/2 1/21 4 1 3 1 c. 10 [7/2 3/2 1...

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Q: Let f be a function with continuous first derivatives, defined by f (cos(xy), x2 + y³) xy If we take...

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Q: 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A : b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 ...

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Q: 3. Consider the following quadratic programming problem: min -2x, – 2x2 + xỉ + 2x – 2x,x2 s.t. X1 +x...

A: given problem min -2x1-2x2+x12+2x22-2x1x2 such that x1+x2≤32x1+3x2≥6x1 , x2≥0

Q: 3. f(t) = 2e3t sin 2t 3est cos 2t %3D -

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Q: 7. Check if the following graphs G and H are isomorphic.

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Q: Laplace Transformation

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Q: 5. f (t) sinh 3t + cosh 3t – 2t3

A: This is a problem Laplace Transform.

Q: +oo +oo n² – 1 n2 +1 (-1)" (a) Σ (c) )un where sn = u1 +... + un = n! n=1 n=1 +oo 1 - 11 n=1

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Q: Consider the following linear program: max x1 + 2x2 s.t. x1 +x2 ≤6 x1 −x2 ≤0 −x1 + x2 ≤3 x1, x2, ≥0...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: & Gier, Mamiten 3. - 2 -4 -6 12 15 3 -12 3 ID 2. ーC 4 6. 4 15 4x 5 5x3 No.of Column A No.of mws in B...

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Q: A population P obeys the logistic model. It satisfies the equation dP 0.24P 1 for P> 0. dt 4900

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Q: Find the largest possible domain of each of the following function. 2x4 + 5x3 + 14x² + 11x – - 27 (a...

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

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A: This is a problem of Taylor expansion.

Q: I. Consider an = V4n² + 3n – 2n for n >1. 1. Determine if {an}-1 is convergent or divergent. 2. Is >...

A: Simplify the expression of an. Multiply and divide the given expression of an by 4n2+3n+2n to simpli...

Q: d) xy > |A. reflexive B. transitive DC. none of these D. symmetric

A: We have to check the given relation is reflexive, symmetric and transitive.

Q: Evaluate S" -2n 1 cos³ w sinsw dw 2 O - 1/2 O 1/2 O 1

A: Please find attachment for the details solution

Q: ſcos 3t sin 8t dt * 1/2 (-1/5 cos5t - 1/11 cos11t ) + C O 1/2 (1/5 cos5t - 1/11 cos11t) + C O None o...

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Q: In Problems 75-86, find the exact value of each expression. 75. sin sin V3 + cos 2 - + cos 76. sin s...

A: 79.  costan-143+cos-1513Using cos(A+B)=cosAcosB-sinAsinB we have,costan-143+cos-1513=costan-143cosco...

Q: 13. Encrypt the plaintext message GOLD MEDAL using the RSA algorithm with key (2561,3).

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Q: QUAD is a rectangle, if 25 = 53 find Z1

A: A rectangle is a quadrilateral, such that all angles are perpendicular and opposite angles are equal...

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A: As all the four circles have same radius which is 2so the given figure is a square whose perimeter i...

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 6. For all positive re...

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Q: In a three-dimensional space we have a vector R =( 4at + 3aj+ 5ak). Another vector S has the same Y ...

A: 1st we will find other two vector R →  and T→ and then will use dot product and cross product to fin...

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A: Given, Jhosep wants a tv for his birthday that originally cost $740. Right now, the tv is on sale fo...

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 3. The statement SA (T...

A: Since you have posted a multiple  question according to guildlines I will solve first   question fo...

Q: 18.7. Let f(z) = (e + e-2)/2. Evaluate f(2) -dz, where y is any %3D simple closed curve enclosing 0.

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Q: s - 3s2 – 2 S .3 s° + s

A: It is known that:  L-1as2+a2=sinat L-1ss2+a2=cosat L-11s=1