Find the solution. y'-y =y2ex e ¯x A y = с +х e y = с — х с +х c y = с —х y = B.

Q: Consider the folowing. X - 8 cos e Y - 5 sin a (a) Sketch the curve represented by the parametric…

A: We have to sketch the curve.

Q: Find the interval of convergence of Σ 6" (2n + 1)!

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Q: Consider the linear DE system æ' = Aæ with -14 -90 and A = 2 14 If the initial conditions are given…

A: To find the solution for the below linear differential equation system. x'=−14−90214x,  x0=02

Q: Graph the feasible region for the system of inequalities 0 4 3x + 5y 0

A: We have to graph the feasible  region of the given system of inequality.

Q: Find the area of the region bounded on the left by x = y? and on the right by x = 3 – y?. O a. 7 sq…

A: Given: Equation of curves  x=y2x=3-y2

Q: The perimeter of the triangle below is 59 units. Find the length of side VW. Write your answer…

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Q: (a) Suppose that a > and that the parabola with equation y = ax² +2 has vertex V. The parabola…

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Q: z = e(4+j3) In(6230°)

A: We evaluate  z=e(4+j3)ln(6<30°)

Q: (1) Let G: R → R? be a differentiable function such that G(1, -1,3) = (2,5) and DG(1, –1,3) = 1 -1 4…

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Q: 1. Instructions/Directions: Complete the table below. Write your complete solution on the space…

A: We will use property of logarithmic function  logabc=1blogac log(x) is defined only for x>0 Note:…

Q: Show that the exact length of the curve below is 2: y =sqrt(x − x2) − arcsin[sqrt(x)]

A: Consider a function y=f(x) defined from x=a to x=b. Then the length of the curve y from a to b is…

Q: Find the interval of convergence. (x + 6)" (n In(n))² n=2 (Use symbolic notation and fractions where…

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Q: Question 5*: 1130 lecture in the 2021 Fall term is 7. The average number of students at X University…

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Q: 7. (a) A computer is programmed to choose an integer between 1 and 99, inclusive, so that the…

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Q: Determine if the sequence an sin (20n) converges or diverges. If it converges, compute its limit. If…

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Q: Estimate the limit lim,5t , numerically or state that the limit does not exist. x2-25 (Use decimal…

A: It is given that ;          f(x) = x-7x2-25 We have to find  the value of limit limx→5+f(x)…

Q: „Ifi andi are independent co-ordinates of a point, show that %3D

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Q: Jse calculus to find the area of the triangle with che vertices (0, 5), (2, -2), and (5, 1). Area…

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Q: G12. Construct the graph for the adjacency matrix: In29)= MatrixForm [matrixExample]…

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Q: nd the midpoint M of the line segment joining the points P = (-2, 8) and Q = (-6, -4). M = OD %3D

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Q: G10. How many edges does Ks have? K, in general?

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Q: Prove that for every prime p, there exists an integer x, such that x = 16 mod p.

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Q: 4. Consider the following piecewise-defined function f(t) on [0, ∞0): 0, 0st< 2 S(t) 2t – 4, 2<t< 3…

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Q: Find all the zeros of the polynomial function. Use the Rational Zero​ Theorem, Descartes's Rule of​…

A: Rational zero theorem states that if a polynomial with integer coefficients has a rational zero,…

Q: 8 A = 3.75 n invertible matrix C and a diagonal matrix D such that A = CDC-1. C = D =

A: We have to find C and D such that A = CDC-1

Q: (a) State the definition of the cardinality of a finite set. (b) If A is a finite set with |A|= n,…

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Q: in two way ANOVA, if factor 1 has alpha levels and factor 2 has b levels then there are a total of…

A: there will be a total of axb  treatement. option b is correct answer

Q: se the Midpoint Rule with n = 4 to approximate the hterval. (Round your answer to four decimal…

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Q: Find the Taylor series generated by f at x= a. 8. f(x)= , a=D1 Choose the correct answer for the…

A: Given f(x) = 8x2

Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y – 4y = 12e², y(0) =…

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Q: Find the volume of a cone with a base diameter of 7 yd and a height of 6 yd. Write the exact volume…

A: Note: We have the volume of a cone  V=πr2h/3 cubic unit. r is the radius of the base and h is the…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

A: as given m1=2 kgm2=1 kgk1=64 Nmk2=32 Nm

Q: Si Vzdz = 14/3 14/3+can unknown constant 16/3 not calculable*

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Q: Calculate the work done by the force field F (x, y, z) = (x + y) i + (y - z) j + z² k to move a…

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Q: As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) %3D lim [0, 1- 1/n) = [0,…

A: limit is that value of function at which function approaches to output at any given input. The…

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: Calculate the area of the region bounded by the curves x = = y² and x-y=2. a. 11/5 sq units O b. 9/2…

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Q: (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily requirements…

A: Please find attached the solution of the given problem in the image file. We have chosen the…

Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

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Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

Q: Find the critical points of the function f(x, y) = x² + y² + 6x – 2y + 2. List your answers as…

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Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y/ – 4y = 12e²ª, y(0)…

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Q: Use spherical coordinates. y2 + z2 where E is enclosed by the sphere x2 + y? + z = 49 in the first…

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Q: C. A public utility jeepney (PUJ) is operating from La Trinidad to Baguio for a total distance of…

A: Given, Total distance= 15 km The equation governing the cost of fuel = 0.002 v3+100 T where, v=…

Q: olve the d

A: Given,         dxdt=37.5-3.5x

Q: Find the radius of convergence, R, of the series. n! n = 1 R = Find the interval, I, of convergence…

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Q: Let f(z) = ((z – 3i)? + 9)ez-si The Laurent series representation of f(z) in the domain 0 < |z – 3i|…

A: Given function is fz=z−3i2+9e1z−3i. We have to find the Laurent series expansion of the function fz…

Q: 1 Let f = 6. 6. 3 4 5 3 4 7 7 and g 4 1 1 5 7 2 6. 3 1 7 6 4 5 Write the following as a product of…

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Q: Let X = {a, b, c, d, e, f, g} and Y = {1,2). Let X (d) and let g: X Y %3D %3D be the function…

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Q: 5+3 %3D

A: Given,        Z=45+3j