Determine the infinite limit. 2+ 4x lim x-2 x - 4x + 4 00 8 O O

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: x dy -ydx -Vx²_yz dx =0

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

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Q: 12. 12 2/3

A: Topic = Algebra 23 >512    

Q: 35) y= sec V-4x² – 1 |

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Q: 11-14 Sketch the direction field of the differential equation. Then use it to sketch a solution curv...

A: Consider the differential equation.  ...... (1) Need to sketch the direction field of given differen...

Q: spring is stretched 6 in. when a 4-lb weight is hung on it. The 4-lb weight is attached and pushed u...

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Q: Find the exponential model y= ae that fits the points shown in the graph. (Round your value for b to...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: dx -x - e

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

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Q: Evaluate the integral. 3x cos 2x dx O e3x [2 sin 2x - 3 cos 2x] + C 13 O 1 [2 e3x sin 2x + 3 cos 2x]...

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Q: d*y The equation da4 4y 1+ ( is 72 dx O linear and ordinary O linear and partial O nonlinear and ord...

A: Here we have to find the type of given differential equation.

Q: L{(1+t")et}= (1+) () n! sn+1 s-1 1 n! s+1 (s-+1)까+1 n! s-1 sn+1 (1+)() n! sn+1 s+1

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Q: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

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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

Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And...

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: 11. The sum of the digits of a two digit number is 12. If the digits are reversed, the new number is...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Find L(5 t2n+1 – 4)° } - 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: Given the differential equation y" +3y + 2y =D Which of the (1+e²) following equations result after ...

A: sOLUTION IS GIVEN BELOW

Q: { 3s-6 F (t) = L-1 fınd F (- s2 –4s+20 3e3m -3e?m -3e3n

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Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

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Q: Which of the following is an example of an infinite set which is bounded and countable? A.) The set...

A: Topic  =Algebra   B) [ 2, 20 ] is an example of an infinite set which is bounded and countable.

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: Which of the following equations cannot be solved using the method of undetermined coefficients o " ...

A: Method of undermined coefficients are always useful when nonhomogeneous part of the differential equ...

Q: Express the differential equation d?y dy 30y = 0 - dx? dx in differential operator form. O (D – 5) (...

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: In(3*+2*) Apply L'Hospital's theorem to evaluate Lt X00

A: Here we will solve the given limit by L'Hospital Theorem,  

Q: Differentiate each function with respect to x. 29. f(x) = ln (-3x^2/x^5 + 4)^5

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Q: )1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace Transf...

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Q: Three times a number is two or more than twice the other. If the sum of the numbers is nineteen, wha...

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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: 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: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: Find the L{y(t)}, given the initial value problem y" + 4y' +5y = e"; y(0) = 1, y'(0) = 2 %3D 10 (s–1...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is of the form = ...

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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: A solution containing at 2 lb of salt per gal is poured at 3 gal per min into a 300-gal tank that in...

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Q: [(30oshm +e coshm sinhmdm +eoshm 4.

A: First we put cosh(m)=u and differentiate both sides with respect to u and solve it 

Q: Given the differential equation, d'y dy = e" sin() cos (), the proposed particular da? dx solution i...

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Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx = 12+36

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Q: Complete the identity. sin(@)=

A: Trigonometry identity

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: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48 (2+8...

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Q: Find L{{t"+3)*} O none of the choices given n! sn+1 n! 2. +6 S2n+1 n! 6. sh+1 (2n)! n! s2n+1 +6 sn+1...

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Q: 1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled...

A: Given: A semi-circular through ,filled with water.  V=L[0.5πr2-r2arcsin(hr)-h(r2-h2)12]L=10ft , r=1 ...

Q: 5Y is: The differential equation sin(y) y" = (1 – y) y' + y²e¬5y; non-linear and ordinary O partial ...

A: sinyy''=1-yy'+y2e-5y is the given differential equation.