20-sin 20 Find the maximum value of the function 02

Q: There exists a solution, F(x,y)=Dc, to (2- 2aye) da – (2ye + 3 sin y) dy = 0 such that - OF 2ye 3 si...

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Q: Graph the function. s)--2/x-4 Plot four points on the graph of the function: the leftmost point and ...

A: See the graph given below and x can't be less than 4 because for x<4, square root of X-4 become n...

Q: 6x4 – 2x Find an antiderivative for Antiderivative =

A: We have to find the integral

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

A: The answer is 32kg

Q: A cable that weighs 8 Ib/ft is used to lift 700 lb of coal up a mine shaft 400 ft deep. Find the wor...

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Q: Given the differential equation (2D² – 3D+1) y = csc(2rx) Propose an appropriate particular solution...

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

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Q: Integrate using the

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Q: BASIC PROPERTTES OF INTEGRATION IHTEGRATE THE FOllowING: 8. 2 t 22 tz I 32 +3z*+x° 9) + " () वg 3. 3...

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Q: tan 0 4. Given sin 0 %3D 4 and > 0, find other trigonometric functions?

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Q: dy (9 + 4(2) + y = 0 Find the solution to the differential equation 4 dx? dx -2x y = cje¯ + c2e || y...

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Q: Solve [y (In x – In y) + x] dx +a (In y – In a) dy = 0 xlny + yln x = Cx None of the choices ylnx + ...

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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: Find the exact values of the six trigonometric functions of the angle e shown in the figure. sin(0) ...

A: The given triangle has lengths 8 and 6

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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

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Q: L{(1+t")e*3t}=

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Q: Find the inverse laplace transform of: F (s) = 2e-3s s(s+1) ° f (t) = (1 – eʻ-3) u (t + 3) ° f (t) =...

A: Given:   F(s) = 2e-3sss+1

Q: y(8y² –5)dy 4y* –5y² +5 *(0–4)de (0+5) (x+e*)dx 1. 3. v tan v*dv 4. 5+31ncosv* 2.

A: To evaluate the given integrals.2 ∫θ-4 dθθ+523 ∫x-1+exex-ln1x dx

Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: Find the exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: 44

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Q: The rate of accumulation of salt in the tank is equal to O the product of the concentration and the ...

A: Since you have posted two questions as per our guidelines we are allowed to answer the first questio...

Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = ...

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Q: d y The equation dx4 2 dy 1+ 4y is dx

A: To determine the type of the differential equation, d4ydx4=4yπ21+dydx2.

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: If F (t) = L-{a10 find F (7) 2s+10 82+10s+34 2e3 2e5m -2e-5m -2e-3T

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Q: The differential equation y" – 4y = e2t has a particular solution of the form yp = uje + uze2t. dui ...

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -10- -15- 4. lim f(x) 5. lim ...

A: Graph of the function f(x) is given we have to find the given limits

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 8x² f'(x) = ...

A: Given, f(x)=3+6x-8x2 Domain of f(x)=(-∞,∞)

Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

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: J Sin (In 6) de

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Q: If the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (...

A: The solution are next step

Q: 00 Which function has Maclaurin series(-1)"2" x" n=0 O f(x) = e-2x O s(x) = 1+2x O sx) = e* O f(x) =...

A: We have to find function

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

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Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: 7) 2. メSinメ

A: 7)  let I=∫x sin(x2)cos(x2)dx

Q: Apple pies are often served with ice cream on top. If the pie is too hot, the ice cream will melt to...

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Q: 277 1 cV2-2 dz r dr d0 O Jr

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Q: d'y Given the differential equation, da2 2y e2" sin(2) cos(2x), the proposed dæ particular solution ...

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Q: number of Android smartphone users has grown exponentially since it was first introduced to the mark...

A: Given query is to find the expression for number of users after 2010 then find the time when it reac...

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

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Q: Given the differential equation 16y(4) + y(3) – 2y" + y = 0, how many arbitrary constants are expect...

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Q: Evaluate the triple integral of f(x, y, z) = cos(x^2 + y^2) over the solid cylinder with height 8 an...

A: By Cylinder Coordinate System we solve the above question.

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

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Q: Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A...

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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: If the Laplace Transform of F (t) = vi what is the Laplace Transform of is 4s 2 F (t) = e' vt3?

A: Laplace transform of F(t) = et root t3