2. A= 2 L6 16 5 14.

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Q.5. D.] find the Cartesian equation of the plane r(u, v) (u,v + 2,3u-2v), -1≤u≤2 and -2≤0≤3

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Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

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Q: variable circle through the origin and touching the hyperbola xy = c

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Q: 3) Evaluate the iterated integral by con polar coordinate, the to √₂x-x² ( aj Ky²ty² dydy

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

Q: Which of the following series diverge by the nth-term divergence test? Select all that apply.…

A: To find which of the following series is divergent :-

Q: Solve the differential equation using modified Euler's

A: Note:- As per our guidelines, we can answer the first one method as both are different method. For…

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Q: dx axy with r, K, a, s, b>0. dt 1) Find all steady-states for this model, and analyze their…

A: Given ,dxdt=rx1-xk-axy    anddydt=sy1-ybxfor stability,dxdt=0  and  dydt=0rx1-xk-axy   =0  and…

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge - Kutta method, what is…

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Q: I R w I R www I I Use wye-dell I I R www I

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: Question 1 Evaluate the following integrals using residue theorem: (a) x² To (b) 2x³ sin wr Lo (1…

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Q: 31-40. Suppose that a day's production of 850 manufactured parts contains 50 parts that do not…

A: Solution:- 1)probability that first part is conforming =800/850 ( as there are 800 conforming part…

Q: 13. Let F be a field, R a nonzero ring, f: F →→R a surjective homomorphism and prove that f is an…

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Q: 4) What rule and unit vectors are used to do 3-dimensional graphing? Graph the plane, R = 3x-2y +62…

A: To Explain: The rules of plotting the plane R: 3x-2y+6z=4.

Q: 4. Communication. Explain where the CAST Rule comes from by showing how we can determine that: A)…

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Q: Use the random number table at https://goo.gl/Y7EUPX 1. A club contains 30 students and 10 faculty…

A: A. The name of the sampling process is Simple Random Sampling (SRS) method. It is a method or a…

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

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Q: 2X 3- e 2X dy + 2 (Ye - x) dx =o dy + dx + Cosxy = tanx Sinx

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Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

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Q: the chord joining points the A(x) and B(B) on the hyperbola -= 1 is a focal chord, then prove at…

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Q: Take note: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS…

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Q: A region is enclosed by the equations below and contains the point (2,8). y = 8 sin(), y = 8(x -…

A: Given :y = 8sinπ2x , y = 8(x-2)2, y = 7x+1   (1) Area volume obtained by rotating region about…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Use the binomial ser a. f(x)=√√(+X- ..b.....fo.x

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Q: Evaluate the following integrals using residue theorem: (a) x² Loo (2² + 9) (2²+4)²0

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

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = e√1-1²-y², y(0) =…

A: Solution: Given,y'=e1-t2-y2,    y0=0We know that  by existance and uniqueness theorem,The initial…

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with -0.1, find the relative error…

A: We can solve this using runge kutta method and relative error

Q: O xy' + 4(x-2)y" − 2 (x + 2) (x² − 1) y = 0 - -

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Q: 11. Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no…

A: We will use the basic knowledge of the application of differentiation and the surface area and…

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Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

A: We have to use Linear approximation to estimate  e(-0.01)

Q: Find of the ay+2²7 the revolving Curve x = 2 0≤y in 2 about the y-axis is The area, S, of the…

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Q: 15. Let R be a ring, I, J be ideals of R and f: RR/I x R/J be the function defined by f(a) = (a +…

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Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: Given (1 + 3x sin y) dx - x² cos y dy = 0 with y(1) = 0. Using Euler method with h=0.05, y(1.15) =…

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Q: Determine if the series converges or (5-2n)" diverges: Σ 6n n=1 n Converges by the P-Series Test O…

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Q: (!) Let G be a graph whose odd cycles are pair wo odd cycles in G have a common vertex. Prove

A: Given : Graph G has odd cycles that are pair-wise intersecting, i.e, every two odd cycles in G has a…

Q: C. GIVE (-4,-1) the regression line (-2,0) (2,4) (4,5)

A: To give the regression line for the data -4,-1,-2,0,2,4,4,5

Q: A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is  S=2πrh Volume of the same…

Q: Finding a probability density function A continuous random variable X, with mean unity, has…

A: Given a continuous random variable X, with mean unity, has probability density function fX(x) given…

Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: 1) Solve b finite diffrence methed للحم + 3 = لوله

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Q: 5. Evaluate the following indefinite integrals. 8. **** Power 2 ...... sin.x dx. b-₁f.co₂x² dx…

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Q: 1. The curve shown below can be expressed both as a function of x, y = f(x), and as a function of y,…

A: As per our policy, we are allowed to attempt only first question remaining post separately.Q(1).Let…

Q: find the integral of the function fix, 41= (x²+y²)³ the region between the two circles of GV RV…

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