Given f(x, y) fz(x, y) = fy(x, y) · = fzz(x, y) = | fzy(x, y) = 2x³ 3x²y² + y^, find

Q: (D3 - 5D2 +8D-4)y = e2x, Find Y = Yc - Yp 1 =-=-=x² ₁²x 2_2x 2 a. C. C₁ et + C₂e O d. 2x b. C₁e² +…

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Q: 5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

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Q: y"-y-2y = 0, y(0) = 0, y'(0) = 1.

A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: What is the best convergence test to determine the convergence or divergence of the following…

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Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, ti Oc1ti, 1±i O d. 1 ±i, 2±2i O e.…

A: Given

Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Evaluate > f zy³dz + z³dy, where C' is the rectangle with vertices (0,0), (6.0), (6,2), and (0,2).

A: To find:- ∮cxy5dx+x3dy Where C is the rectangle with vertices 0,0,6,0,6,2,0,2

Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

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Q: Divide by g (y) to separate the variables: dy IP fi O dy || gt h = 7/²010 y de 9х = прто

A: ∫xndx=xn+1n+1+cgiven  dydx=x6ypasses through  (1,3)

Q: use partial fraction decomposition to compute ∫ 1/((x-1)(x^2+1))

A: Given integral ∫1( x - 1 )( x2 + 1 )dx

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: Solution: When two dice are rolled

Q: For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select…

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Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

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Q: 9) What is the monthly payment for a 170,000 at 7.25: per annum ) mortgage of amortized for 20 years

A: NOTE: Refresh your page if you can't see any equations. . here we have L=170000 (loan amount)…

Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -30°F.…

A: Given, During a 12 hour period, the temperature in a city droped from a high of 60°F to a low of…

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

A: according to bartleby guide line we do only first part ofmultiple please re post other parts a)…

Q: 1. (Hour30) Set up an integral, do not evaluate, that represents the length of the curve x = cost, y…

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Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: Verify that y(x) = 3e^x^2 − 1 is a solution to the differential equation y′ = 2x(y + 1) that…

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Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Je sin(6t) dt ecos(6t)…

A: Given integral ∫ecos(6t)sin( 6t ) dt

Q: The marginal cost for a company to produce q items is given by MC(q) =0.003q²-0.8q+615. The…

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 15 Figure 1 7

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Q: D E 144 F What is the degree of vertex A B G A

A: The given graph is

Q: + 3 2 1 1 -1 -2 -3 2 3 4 5 6 7 V = = 00 S The graph above shows the base of an object. Compute the…

A: Given that a graph and we find volume of this object. We know that area of a triangle is given as -…

Q: Use the first Taylor polynomial for √ at z = 4 to estimate √6. Round your answer to four decimal…

A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

A: Given query is to find the area of the region.

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The given curves are: y=16-x2, x-axis or y=0, and the lines x=-4 and x=4   So, the bounded region is…

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: According to question,Given Series,∑n=1∞ 4n23

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex O b.ex Oc-xex C. O d.xex O e. none

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Q: t OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: Given rate of net sales = n( t ) n( t ) = 198 + t2 − 0.14t5

Q: Given the vectors x = (1, 2) and y = (3, -1) find the linear combination vector z = 2x + 3y

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Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: Given that volume of teh right circular cylinder is 1152cm3.And the total alumonium used up by the…

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, ±i OC. 1 ±i, -1±i O d.-1 ± 1, 2+2i O…

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Q: In the year 2000, the population of a small city was 49,000. The population grows at a rate of f(t)…

A: Rate of growth ft=1300e0.05t people per  t years after 2000

Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: Inverse laplace 1/(2s^2+4s+20)

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Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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