3- 2n+s

Q: 2xy dy - x- 2y"- dx

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Q: What is the TRUE statement if given, -2 3 9 cofactor matrix of matrix A is 8 -11 -34 -5 21 i.The ele...

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Q: Compute e* -1 Lt x-0 V1+x -1)

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Q: For each of the following differential equations, determine the general or particular solution: dy e...

A: Using separable variable. 

Q: 1. Find the general solution of (sin y – 2xcos²y)dx + x cos y(2x sin y + 1)dy =

A: Follow next step

Q: 4. Which of the equations are exact? I. 2x(y+1)dx=(y-x')dy II. xdx - Va-xdy 0, where a is a constant...

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Q: Use Euler's Method to make a table of values for the approximate solution of the differential equati...

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Q: y' +y = x*

A: Given: y3+y=x4

Q: 2. A = flnd det 'A), adj CA) and inverse mateix

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Q: A tank has pure water flowing into it at 10 L/min. The contents of the tank are kept thoroughly mixe...

A: Given, Initially tank contains 10 kg of salt in 100 L of water. Water flowing into it =  10 L/min Wa...

Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding se...

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Q: dy - 6 dx J4-6x+y

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Q: dy Given +1= 4x; y(–1) = 7. da The particular solution of the differential equation is a. y = 2x2 – ...

A: For the solution of the problem follow the next step.

Q: A= [) 1 2 3 2 Jis A Singular or nonsingular. If nondhgulor fhad imverse mortin A-l

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Q: A ladder 5 meters long leans against a wall. When the person holding it lets go, the ladder starts s...

A: Given  ladder length is 5 m ,bottom is 4m from wall

Q: 7. A 16 lb weight moves in a horizontal staight line under the joint action of a constant force of 8...

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Q: Verify that the vectors a, b, and a + b satisfy the triangle inequality. Since ||a + b|| - , and ||b...

A: Given: a= 2i+jb=i+3j

Q: x²+ y° = xy dy dx

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Q: Find the maximum of f (x, y) = 5y² + 5xy – 5x² on the square domain 0 < x < 6, 0 < y < 6. (Give an e...

A: Given the function 

Q: Consider ax with the given coefficients a,: (2x)" n = 1 ind the radius of convergence R.

A: In this question we will use basic of calculus i.e concept of infinite series. We will use ratio tes...

Q: dy at t = 2. dx If x = 5t +4 and y = 3t° -7, then find а. 4 b. 1 с. 2 d. 3

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Q: For each of the following differential equations, determine the general or particular solution: dy =...

A: We have to find the general solution of the differential equation.

Q: 1. We want to build a box whose base length is 6 times the base width and the box will enclose 20 in...

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Q: dy when x = 2 dt х = x + 4, find y

A: Differentiation. ddx(f(x)g(x)) = g(x)×f'(x) -f(x)×g'(x)g(x)2 Where, f(x) and g(x) are the function o...

Q: Consider points P(3, 0, 2) and Q(-1, -1, 4). (a) Express vector PQ with the initial point at Pand th...

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Q: Find the number in {x € R:- 5<x<1} such that the sum of thrice the number and its square is a minimu...

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Q: Determine the solution of the differential equation 2y"-3y'+ 4y = 0 %3D 3X V23 V23 y = e (C, cos x+ ...

A: Let's find. 

Q: The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm....

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Q: Hiw.whichefthefallewing serier conditionally converge. absolutely converge and which hsi

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Q: Consider a population of tuna T that is growing logistically according to the equation:  T'=0.1T(1-...

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in r...

A: SOLUTION: given vector a=19, -1, 4 and b=1, -1, -5 to find angle between two vectors lets use dot pr...

Q: Find the Laplace transform for (a) f(t) = sin t 3) (b) f(t) = e-dt sin 3t (c) f(t) = t sinh 5t

A: Given; (a) f(t) = sin2(t/2) (b) f(t) = e-4tsin3t (c) f(t) = t2sinh5t

Q: CAM 67 +98

A: We have to solve the integral .

Q: Given x = sin4t, y = -cos4t, then find at %3D t = 16 dx О a.3 O b. 2 O c.0 O d. 1

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Q: Use the comparison test or limit comparison test to determine whether the following series converge ...

A: Limit comparison states that If summation an and   summation bn be two positive term series (infinit...

Q: If x = 3 sin t and y =2 cos* t, then find dy at t = dx 4 О а.-0.67 O b. 0.76 O C. 0.56 O d. -0.86

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Q: 3 1 -1 Given matrix A=| 2 -2 1 2 -1 What is the element of cofactor matrix by deleting row 2 and col...

A: Find the cofactor matrix.

Q: The single species Gompertz population model was first proposed by Benjamin Gompertz in 1825 and has...

A: We need to solve the differential equation and find population.  

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are perpendicul...

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Q: x3 – 27 2.- Use the following rational function: r(x) = to find r2 – 9 (a) Domain (b) x and y interc...

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Q: The roots of the auxiliary equations of 44 dt -4d + 6x - 0 are 2 + v2i, 2 v2i, i and - i, what is it...

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Q: Evaluate sin (4x + 14) dx cos (4x + 14) Ocos (4x + 14) + C O-cos (4 + 14) + C -cos (4x + 14) +C Subm...

A: Integration

Q: Find the equation of tangent line of the function f(a) = e" /r at the point a = 1. Write in the form...

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Q: A 480-m long fence is to be cut into pieces to make three enclosures, each of which is square. How s...

A: We will use Lagranges multiplier to solve this question.

Q: Determine the solution of the differential equation y" - 2y' + y = 14 y = C,e + C,xe" +e* In(1 + x) ...

A: First we find complimentary function then find particular integral then solution. 

Q: 10.) solve y(2xy +1) dx + x (1 + 2xy-x°y? ) dy =0

A: We will use homogenous differential equation to solve

Q: If x = 3t* +5 and y = 2t° – 10 , then find dy at t = dx a. -0.93 b. -0.53 C. -0.83 d. -0.63

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Q: Solve the given DE: y(4x + y) dx − 2(x2 − y) dy = 0 Group of answer choices a.)x2 - xy + 2ylny = cy ...

A: The equation is M(x,y)dx+N(x,y)dy=0Such that, M=4xy+y2, M'(y)=4x+2y , N=2y-2x2, N'(x) =-4xM'(y) ≠ N'...

Q: Find values of x, if any, at which the given function is not continuous. x+6 f(x) = |x² + 6x| Of is ...

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Q: What is the possible operation to reduce matrix A to an identity matrix using elementary row operati...

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