6x + y²) dx + y(2x – 3y) dy = 0 -

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Q: The differential equation y" – 4y = e2t has a particular solution of the form y, = u1e + uze“. du1 F...

A: Follow the procedure given below.

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s...

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A: To determine: The best substitution for the differential equation

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A: We have to find total value of coins and the greatest value of the coin .     

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

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Q: Why must n2 r in the notation nCr?

A: Topic = Algebra

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

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Q: Find the Laplace Transform of the piecewise function. ,0 <t < 2; j(t) = 4+5(t – 2)e- t22. { 6. %3D 5...

A: We need to  find Laplace transform.

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

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Q: Find the area of the shaded region. 15 ft 10 ft ft

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Q: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

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Q: Let f(x) = ln(x). Find the equation of the function g whose graph is the following transformation of...

A: We need to find g(x).

Q: - 3 – x + 2 if x - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f...

A: Topic = Limits

Q: Find the most general antiderivative of the function g(x) = V#³+ V. Answer: G(x) =

A: Given that:gx=x34+x43To find the antiderivative

Q: If y " +2y + 2y = 3t2. y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2s 6 s2 +2s+2 33 (s...

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Q: Find the radius of convergence of the following power series. (Зх — 6)" - .6 n=1

A: The given power series is ∑n=1∞(3x-6)nn6

Q: 5) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

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Q: Find L(5 t2n+1 – 4)° } - 4)}

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Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

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Q: Evaluate f (t) given t = 0 for s-1 F (s) = (s+3)(s-5) 1 e e3 0 1 3. 15 4 3

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Q: Use the arc length formula to find the length of the curve y = V 16 – x2, 0 s x < 4. Check your answ...

A: Circumference of a circle = 2 * π * radius

Q: Solve the following DE: (2xy + 3x²) dæ + (2xy+ 4y) dy = 0 O a²y? + x³ + 2x?y? + 4y3 - 2xy = C O a'y?...

A: Solving the given differential equation

Q: If the Laplace Transform of F (t) = Vt3 is 3 T , what is the Laplace Transform of 5 4s 2 F (t) = e' ...

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Q: of Aumbers form {(-1)^(n+1)(n-1)/(n41)} Let be the ret of the where is an clement of the set of natu...

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Q: Solve the radical equation. Check all proposed solutions. V2x + 19 - 8 =x Select the correct choice ...

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Q: 9. Tan -30 degrees 11. tan -960 degrees 13. cot -630 degrees 15. tan 90 degrees

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Q: a. Set up an integral for the area of the surface generated by revolving the given curve about the i...

A: Given that, The function is following, xy = 8 we have to find the area between 5 ≤y≤10, y-axis and t...

Q: v° tan odo 5+31ncosv

A: See this solution 

Q: A chemistry student heats a beaker that is at room temperature (30 ° C)by inserting it in an oven th...

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Q: 3t L cos 2tdt 1 s- 3 (s – 3)? + 4 s[(s – 3)' + 4] O A.) O B.) s- 3 4 (s – 3) + 4 s[(s – 3)? + 4] C.)...

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Q: For the following differential equation, (3D - 3D2 - 3D+ 6) y= 0. how many arbitrary constants are e...

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Q: BASIC PROPERTIES OF INTEGRATION THTEGRATG THE FOILOWING stan2% Sec' 2xdx 2. 7) ァメuIS× COSX

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Q: Motion in Space: If 7(t) represents the position function, then the velocity function O = F"(t), the...

A: Position function of the particle is given by vector r(t)            Vector r(t) = 2√2*t i+e2t j + e...

Q: This evaluates as the following. '5 W = 176,400 (7х — х?) dx 15 = 176,400 = 176,400 The work W requi...

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Q: A counter that charters a boat for for tours can sell 300 tickets at $25 each. for every $5 increase...

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Q: solve the differential equation: y' + (4/x)y = x^4

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Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A: Here is the solution

Q: Find the most general antiderivative of f(t) = 1 cos(t) – 5 sin(t). Note: Any arbitrary constants us...

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Q: Explain, with an example, the difference between a permutation and a combination. (Show your work fo...

A: Permutation:  Permutation is a mathematical techniques which is used to determine the number of arra...

Q: 1419857* 4913*

A: We know that, ∫axdx=axlna+C And The exponent rule: anbn=a×bn   Given: I=∫1419857x4913xdx

Q: Evaluate 2 sin x cos x dx by three methods: (a) Let appearance of the answers obtained in (a), (b), ...

A: To evaluate: I=∫2 sin x cos x dx

Q: Applying variation of parameters to the DE: y" - y = e +e-, we get the following system of equations...

A: The solution is given below