Given the matrix find A. Write A as input your answer below: a1 = 012 021= 022= H EI I EE A³ - [: 011 12 021 022 ]

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

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Q: dy Solve for the value of C in the equation: + ycotx dx O A.-5 OB. 5 OC.-4 O D. 4 O E. None of the…

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Q: Determine the solution of the differential equation: dx dy y 4² + X y

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Q: 1. y peax cosbx + peax sin bx ; a and b are parameters

A: According to given ,1st is solved.y=ϕeaxcosbx+ψeaxsinbxhere 2 constant then 2 times derivative

Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

Q: Question 26 Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 when x =…

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Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - x = = Z-4 3 2 a) Find a set of…

A: The givne plane is π: 2x+y-3z-2=0 ........................................ (1)  and the lines l1:…

Q: (Question-Solution-Final Answer-Conclusion format) E. Generate solution of the first-order…

A: The solution of given exact differential equation is as follow.

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

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Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x A. sin2x B. cot2x C. Lnsin2x D.csc2x None…

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Q: aluate the integral. [29 tan 29 tan 5x sec 4x dx

A: The given integral is  ∫29tan5xsec4xdx

Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…

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Q: 1 † (OM - ON) - M . If OA es OB. U O D. e-5 ys ly = then what is the integrating factor?

A: Key points: Consider the differential equation M dx + N dy = 0. If this equation is not exact, then…

Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

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Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 - A. 1/4 B. 1/2 C. 3/4…

A: Find integration factor first as it is linear differential equation

Q: Find all the critical numbers of f(x) = 2x4-4x³+3x²+2, then determine the local minimum and maximum…

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Q: If f(x) = f'(x) = f'(2) = tan x 2 sec x 1 + 2 tan(x) sec(x)

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Q: the cable of a suspension bridge hangs in the form of a parabola. the distance between two towers is…

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Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

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Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

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Q: the ideas presented in this section, what do you think is thearea under the curve of y = 2- x…

A: Given:curve is y=2-x we have to find the area under the curve bounded by x-axis and x=-4.we will use…

Q: The Cartesian coordinates of a point are given. (a) (b) (4,-4) (i) Find polar coordinates (r, 0) of…

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Q: Determine whether or not the following equation is exact: 3 dy xy + (²x² + 2y² − 20) = 0, y(0)=1. dx…

A: See this solution in below

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

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Q: The graph of a function f is illustrated in the figure.(a) Draw the graph of y = 0 f1x2 0 .(b) Draw…

A: Given:-(a) we have to draw the graph of |f(x)|.To draw the graph of |f(x)|, reflect the original…

Q: 8. Find the limit of f(x) = lim f(x)= 4- 818 (Type a simplified fraction.) lim f(x) = 8118 (Type a…

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Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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Q: Which of the following is a non-homogeneous function? tan³y/x xLnx − xLny - xy + y² (y² + v²)3/2 43…

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Q: Determine the solution of the differential equation: (3tanx-2cosy)sec²x dx + tan x siny dy = 0

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5x2+x+4 2 (x² + 2)(x − 6) – dx =

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Q: Use the disk method to find the volume of the solid obtained by rotating the region bounded by x = 1…

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Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B. 1/2 C. 3/4 D.…

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Q: The equation y = 1x - c2 2 defines a family of parabolas,one parabola for each value of c. On one…

A: Given, y=x-c2                     ... 1

Q: Which of the equations below is a second order nonlinear differential equation? A. "x²y-(1-2)² = ²x…

A: (A) Here by the square of the term (1-dy/dx)² we get the term (dy/dx)² which makes this differential…

Q: A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S…

A: Given :d=46 cm

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x −y)dy = 0? None…

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Q: Evaluate using integration by parts or substitution. Check by differentiating. (2x²-7x) e7x dx √(2x²…

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Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e³ − x²y² – 3x)dy = 0 when…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x, y)-(0, 0)…

A: Given:- limx,y→0,0x2+y2x2+y2+81-9

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Suppose 11, 32 is a point on the graph of y = f1x2.(a) What point is on the graph of y = f1x + 32 -…

A: Given: Point 1,3 is on the graph of y=f(x). i.e. f(1)=3   (a) To determine the point on y=f(x+3)-5…

Q: Determine the degree, order, and whether it is linear or non-linear 3 (y") ³-4y²= 10e 5x First Order…

A: Topic- Differential equations We are given an equation, (y'')3-4y2=10e5xOrder=Order of the…

Q: Let P = 1x, y2 be a point on the graph of y = x2 - 8.(a) Express the distance d from P to the point…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30} Let sets A and B be subsets of S, where:…

A: S={1,2,3,...,28,29,30}Let sets A and B be subsets of S, where:Set A={4,5,6,9,13,20,24,28,30}Set…

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: a) Assuming that the size of the fish population satisfies the logistic equationdPdt=rP1-PN