find Inverse Loplace transformfor:- (3+3)*

Q: If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the…

A: The line which is parallel to the vector  ai + bj + ck and passes through (x1 , y1 , z1) has the…

Q: Question 2 [ a) {:- ): Explain why the following series (-1)" 1+ n3/2 n=1 is Alternating. b) i…

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Q: -1 324. Evaluate: [ sin -1 x – cos VI dx - sin Vx + cos

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Q: 3. How many meters/second (m/s) correspond to a speed of 57 miles per hour, given that 1 mile equals…

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Q: [5] Use the Milne-Thomson circle theorem to find the complex potential w(z) when the flow takes…

A: We can solve this by using given information

Q: Find an explicit solution to the differential equation y-y+3 =0.

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Q: Given the IVP: y" - 4 y' +4 y = 6, y(0) =0, y'(0) = 3 %3D A) Use the Laplace transform to find Y(s).…

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos (a) Choose... sin (a)…

A: Trigonometric formulas

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: Now, let dR = aR+ bJ dt dJ cR + dJ %3D dt How would you describe the relationship between Romeo and…

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Q: why do we round 12.33 up? Shouldn't it be 12?

A: Solution

Q: (a) Let p E N be a prime number, p # 5, and let nE N. Determine the number of solutions to the…

A: First note that this question is only solvable for certain primes and not for all primes. We…

Q: MyCollege Clothing Company manufactures expensive sweatshirts to sell to college bookstores in…

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first…

Q: (a) Consider the boundary-value problem *(1) + 3ä(1) + ex'(1) = 0 where 0 <8 «1, x(0) = 1 and x(1) =…

A: Perturbation technique

Q: The formula for ordinary Simple Interest:        t=?

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Q: Problem 20. Farkas' theorem tells us the following. Let A be an mxn matrix over R and c be an…

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Q: A small box measures 10 in by 7 in. by 3/4 in. High . Find the volume of the box.

A: Note: The volume of a rectangular box / cuboid is found by multiplying the length by the breadth by…

Q: Calculate the value of (100°)'" × [10-7 × (0.1)*]". Give answer as a power of 100.

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Q: dx 4x +2y+e* +2t dt 17. Write the system in matrix form: dy -x +3y-et dt 4 2) X + -1 3) 4 2) X+e +2t…

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Q: 1 Part A In the figure shown below, find the value of b. 15 in 9 in Figure is not drawn to scale %3D…

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Q: Simple Interest on Anne's loan of $7500 if offered at 12.5% and is due in 3 months. The Maturity…

A: In this question, the concept of Simple Interest is applied, The Formula of Simple Interest…

Q: Show that cos(x) >1 – x²

A: In this question, the concept of the Mean Value Theorem is applied. Applying Mean Value Theorem in…

Q: Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and…

A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: (a) Change variables using the substitution u = =t. Explain why that won't help with solving this…

A: As per policy, we are allowed to answer only 1 question at a time. So, I am answering the first…

Q: Calculate the value of (100°)" × |10-7 × (0.1)“|. Give answer as a power of 100. 10 Answer:

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Q: Solve the differential equation (xcos(xy)+2y-3)+ycos(xy)+1=0 dx

A: Solve the differential equation, using exactness

Q: Use integration by parts to evaluate 2x cos (x) dx

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Q: If f is just that

A: Given,           ∂f∂x=ex-sin(x+y)+cos(x+y), and ∂f∂y=-exsin(x+y).

Q: Comstruct a glide redecton of angle ABC using vector vand relection ine Next question Cheose the…

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Q: If a line is parallel to the vector 2i + 9j + 8k and passes through the point P = (6, 8, 8), then…

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Q: Find the equation of the plane passing through the three points A = (-1,0,2), B = (2,–1,2), C = (3,…

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Q: dy y cos x+sin y+y-0 Solve the followin 1. dx 0. differntail equati %D sin x+x cos y+x

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Q: Let Zn be the integers mod n under modular addition. a) What is |Z14|? (Remember what |Ss| means…

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Q: 3. You wish to fence in a rectangular garden in your back yard, with one side of the garden against…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Find the five fifth roots of z = 105 cis 25°. Write each root in trigonometric form and then give a…

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Q: Simplify the expression to the form a d° (Ja)+ a" where m is an integer. Find the value of m.

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal mama Da 15) 10-61…

A: The given matrix is                                      10-6-65

Q: If a line is parallel to the vector 2i + 7j + 10k and passes through the point P = (6, 10, 5), then…

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Q: Solve the below pair of simultaneous equations using determinants: 3x + y -15 = 0 2x - y - 5 = 0

A: Rewrite the equation as  3x+y=152x-y=5 write the equation in matrix form  D=312-1 find the…

Q: Can you correct the NO. 3

A: Yes your answer, No.3. is correct ?%

Q: Prove that a ring with unity R has a unique maximal left ideal M if and only if R\M is the set of…

A: Prove that a ring with unity R has a unique maximal left ideal M if and only if R\M is the set of…

Q: o Find the basic feasible solution following (T.M) by using DI D2 10 D3 Supply 5 500 D4 S1 11 S2 3.…

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Q: : Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that the…

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Q: Suppose a curve is defined by the equation 16(x + y) = 45. Show that if you translate the curve to…

A: Given that a curve is defined by the equation                                    16x2+y2=45

Q: 10. $82,000 at 8% compounded semiannually for 4 years

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Q: If f is just that % = e*[- sin(x+ y) + cos(x + y)] and -e*sin(x+y) which if the ax ay following is…

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Q: 3 8. Let 7 = and 7 %3D 2 (a) Normalize each of 7, b and 7 to the unit vector. (b) Find proj . (c)…

A: The normalized vector of a vector v→ is the same direction but unit length and it is denoted by v^…

Q: 3. (a) Let S be a two-dimensional subspace of R³. Let P be the projection matrix cor- responding to…

A: Every subspace of R^3 has an orthonormal basis. And this basis can be extended to the basis of whole…

Q: 1ón + 3 Σ E(- 1) "-1. n²+3 n=1 a) Determine whether or not the series is absolutely convergent. b)…

A: Test for the conditionally convergent or absolutely convergent by limit comparison test