Solve the differential equation with appropriate method. Finalize answer in terms of x and C combined equated to y. (e.g. y^3 = x^3 (InxC)) x2+y2 y' = ху

Q: 9) If a cup of coffee has temperature 95° C in a room where the temperature is 20° C, then, accordin...

A: topic - definite integral

Q: P3.B: At any point of a curve y = f(x), y" = 6x + 4. If the curve passes through the points (1, 0) a...

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Q: Find f'(a). f(x) : Vx + 9 f'(a)

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Q: Given a differential equation of the form y (x) + p (x) y = q (æ). where it follows that Su(x)g(x)dx...

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Q: The equation of a curve is y = 4Vx+ Vx dy (i) Obtain an expression for dr (ii) A point is moving alo...

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Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

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Q: Given the equation (cos x + 2 sin x)² dx cos x If you simplify the given equation, the resulting equ...

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Q: Which of the following assumptions do we take when solving mixing problems? O the liquid volume is c...

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Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: dy Given the differential equation. da? + 4y 0 and the initial conditions y(0) =0 and y'(0) = %3D a,...

A: To find the value of a, first we differentiate y= sin(2x) with respect to x and then substitute x=0 ...

Q: Find all vertical and horizontal asymptotes. 2x+5 11. f (x) = =- x-1 x2 12. f (x) = X-3 3x2-x+2 13. ...

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Q: 1) Three forces act on a weight. Two of the force are at an angle of 100° to each other. One has a m...

A: Solved below

Q: A 300 liter tank initially contains 100 liters of concentrated orange juice. 10 liters per minute of...

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Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular solution...

A: follow the procedure given below.

Q: Ms. Tep holds a bundle of 100 dollar bills. The bank teller told her that it sums to 20,000 dollars....

A: To find the answer of the above question lets find the difference between linear search and binary s...

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

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Q: Show that (4, 5) is on the graph of f(x) = 2x + 1. Since f(4) = 5 the point (4, 5) is on f(x). %3D F...

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Q: iven the differential equation dæ? dy - y = cosh(x) + x ropose an appropriate particular solution. Y...

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Q: Find the inverse laplace transform of F (s) = 3se-s s2 +16 f (t) = 3 sin(4t + 4)u (t – 1) f (t) = 3 ...

A: Given:       Fs=3se-ss2+16      ft=L-13se-ss2+16 Apply inverse transform rule:   if L-1Fs=ft then L-...

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of fres...

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Q: (1, 0 2 L (2) = + e (-!) te-2s (s-1) S (음 + 1) O. e2 L (y) = -2s e - s2 ( (s-1) °L (y) = -2s e (s+1)...

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Q: 9) Find a parameterization of the line formed by the intersection of the following planes: P,: 2x - ...

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Q: [6] Find the solution of the first order ordinary differential equation (1– 3y2) dy – x sinx dx=0, y...

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Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O ...

A: To find:- L{(2tn-3) (tn+2) }

Q: following which of the reys is open ? [6, 15] (6,15) 9. C. 6.(6,1s] d. [6,15)

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Q: x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

A: The given limits,limx→2-x+5x2-4limx→2+x+5x2-4limx→2x+5x2-4

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

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Q: Given the differential equation D(D+3) (D+ 1) (D+ 4) y = 0 how many initial conditions are required ...

A: We know that nth order differential equation should have at least n initial conditions in order to g...

Q: 21 dt 24 24 s(s – 2) (s – 2)' O A.) B.) 24 24 s(s + 2) s°(s – 2) C.) O D.)

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Q: Let f(x) = the following transformation of the graph of f: horizontally scaled by a Vx. Find the equ...

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Q: 14. If y = f(x) is a solution to the differential equation = e* with the initial condition f(0) = 2,...

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Q: (2) An open metal pan is to be made by cutting out squares of the same size from the corners of a re...

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Q: a. Find the derivative of the vector function 7(t) = t+i+tj+tỉ. b. Use the result of part (a) to fin...

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Q: Given the equation S'sin x cos x dx The equation can be answered using Lesson No. 5(Case 2) and usin...

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Q: Given the equation sin x cos I dx If you integrate the given equation, the answer is cos cos + C %3D...

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Q: A voltage source E=5V is connected in series to a capacitance of 1 x 10-6 farad and a resistance of ...

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Q: Find L{(t – 1) (2 – 5 sin 3t)}. 2 15 15 + s(s² +9) s2 (s² +9) 5s 30s s2 +9 (82–9)² 2 15 15 s2 (s² –9...

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Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount o...

A: Let X0 be the initial amount of material when t =0            After time t the amount which is left ...

Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D (s-1)(s...

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Q: Identify the graph corresponding to the following function (t 0): y =tu (t – 1) – tu (t - 3)

A: solution is given below

Q: The dimensions of a box are b, b+1, b+4. Find how fast the total surface area A increases as b incre...

A: Topic:- geometry

Q: Find L(y) (1 y" - y = It +1 0 2 y(0) = y'(0) = 0 -2s = 7 + 2 L (y) 1 8 (s² –1) s2 –1 -2s (3s+1) e L ...

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Q: L{(1+t")e }=

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Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

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Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Topic = Volume

Q: Find the general solution of the following differential equations (1) y' = x- 2y cot 2x dx (2) = cos...

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Q: Identify the graph corresponding to the following function (t > 0): y = tu (t – 1) - tu (t – 3) 1 + ...

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Q: 0st <4 f (t) = | 2 ,t24 O A.) f (t) = t -tu (t - 4) – 2u (t – 4) B.) f (t) = t +tu (t – 4) – 2u (t –...

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