y =

Q: Solve for the particular solution of the non-homogeneous DE. y'' + y = 2x

A: Solve for the particular solution of the non-homogeneous DE. y'' + y = 2x  

Q: The Laplace transform of the function f (t)exists if : A.) f (t) is at least piecewise or sectionall...

A:

Q: Tocal maXIITum of .3 Use second derivative test, If f(x) 36x + 4 then f(r) has a local maximum at th...

A:

Q: F x+y°-4xy=0 Find dy lelx su

A: Using product rule of differentiation, 

Q: y + y - 7y – y + 6y = 0 d.

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Q: 1. The heat index (HI) is an estimate of the temperature felt by the human body based on the actual ...

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Q: (-1)" 76 (6n)! an+1 use the Ration Test on the series we find that the limit lim and hence the serie...

A: Ratio Test :  If ∑n=1∞ an be positive term series and limn→∞an+1an = L , then,  (i) If L<1 , then...

Q: Find :L[cos h 5t sin 2t ] 25 2 [(s² – 25)( s² + 4). (s - 5)? +4 O A.) О в) 1 1 1 (s - 5)? +4 (s + 5)...

A:

Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to fi...

A: Solution given below

Q: (x+1)dx C dx , the values of A & C respectively are A B (x+ 2)(x= 1)² * J(x+2 *++ (x – 1)², X- 1 1 A...

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Q: Curva((v2 sen(0): 0) š0,0 (v2 sen(0): 0), (0< s 2 a = 1.5- b = Curva ((Vcos(2 0); 0) 50,c (Vcos(2 0)...

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Q: Let f be a continuous function over an interval I containing a critical point c and f is differentia...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

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Q: Find the arets for the Foltowing Veons ) Region Shaved betwen the fireles

A: To find the area between the curves: r=2 cos θ &amp; r=2 sin θ  

Q: 12. Find the general solution using Reduction of Order: а) у" 3DIn x

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 10. If m(v) = In(sin (v) cos (v)tan" (v)/cot1000000(7)), find m'(t 11. Let h(z) = (arcsin(52) + In(4...

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Q: The antiderivative of the function f(x) +10z is -5 - 5.0z2+c -10 +2.5z2 + c +5.0z2 +c -5 + 5.0r +c +...

A: To find:∫5x2+10x dx

Q: *** The definite integral representing the volume of solid generated when the area in the first quad...

A: Topic  =Application of integration Correct option = B

Q: 32 n2 + n is Vn15 + n3 The series n=2 O convergent by the Limit Comparison Test with the series 1 n=...

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Q: Assume that f is continuous and differentiable on (-∞, ∞). Consider the interval [a, b] where a < b ...

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Q: i.) Find the tquation of the tangent line to the curve y= 2+4x- x° at the point P(-1,-1)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Learning Activity 3.4. Hot and Cold. Solve the following problems. Situation 2 A cold beer initially...

A: Given:- A cold beer initially at 35°F warms up to 40°F in 3 min while sitting in a room of temperatu...

Q: There are 3 screening times for the movie “Spider-Man" in TVG cinema which are 4:10pm, 7:20pm and 10...

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Q: Determine values of the variables that will make the following equation true, if possible. If not, s...

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Q: Use second derivative test, If f(x) = 4x+4 then f(1) has a local maximum at the point I = -3 I = -2 ...

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Q: . Approximate f (x) by a Taylor polynomial with degree n at the number a f(x) = x sinx, a = 0, n = 4...

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Q: Let a = (1, 2, x) and b (0,-4, 2). If x=-2, determine a E Your Answer: -12

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Q: a)f(x) = xsinx b)f(x) = x\nx|

A: Here we need to find the differentiation of given functions. The solution is fofollowing. 

Q: Find the equation of the normal line to the curve y = 3x^2 – 2x + 1 at P(1, 2).

A: Topic = Application of Derivative

Q: Howt Find the area for the fo|owing ajans C) Region inside the circle Y=f on the right of the line X...

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Q: J(csc r cot a + 4x)dr O cot a +r'+e CSC r CSC ++e cse r CSC +

A: Let's find. 

Q: The function f(x) 2x – 33x2 + 108x – 1 has two critical numbers. The smaller one is x = and the larg...

A: Explained below 

Q: d patient (m mg) imi the patient s akes a rug, the dl blood can be modelled by: A(t) = te-kt where t...

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Q: 10. y"" + y" = 3 А. 3 В. Зх C. D. 3x?

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Q: Let y' = - ty + 0.1y° and y(0) = 1.2. Use Euler's method to find approximate values of the solution ...

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Q: y" - 2y'- 8y = 2xe* %3D

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Q: y" + y = 2x

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Q: • A minimum of five different types of curves. These may include linear, quadradic, cubic, and sinus...

A: r→t = 5t-2,6t,-14+2t2  ;t∈-7,7  

Q: The equation represents a patient that takes blood thinner drugs; the amount of the drug is in mg in...

A: At= te-ktt in hours, At amount of drugs in mg after 't' hours.To find:  Critical 't' and value  of A...

Q: 10x° + 13 13 +c 8x8 13 10x + 10x - +c 8x8 13 10x + +c 12x8 13 10х + +c 8x 12 10 10x 8x8

A:

Q: sinx-cosx dx ex+ Sinx

A:

Q: Solve for the particular solution of the following non-homogeneous DE. y” – y’ = 2sin 2x

A:

Q: Find the equation of the tangent line to the curve y = 2 + 4x – x^3 at the point P(-1, -1).

A: To find the equation of the tangent line to the curve, y=2+4x-x3, at the point -1, -1.    

Q: @Come up with a parametic description. of the circle (x-2)´+(Y+4)"= 9. Make it so that the circle is...

A: (a) Given- x-22+y+42=9 To Find- The parametric form of the equation of the circle.

Q: Show the setup of the definite integral/s that will give the area of the region bounded by y = x2 − ...

A: (a). From the given curve the bounded region is as shown below;   Now taking the vertical strip wit...

Q: Solve for the particular solution of the following non-homogeneous DE. y''+4y'+3y=12

A: Here we have to solve the given differential equation

Q: S(cscz cot z +4r')dr - O cot z + r* +c O csc T + z* + c CSC +x* + c - CSC 2 O csc x x* + c

A: Let's find.

Q: sin(iny)dy is equal to * y (A none of these cos(ny) + C y cos(Iny) + C (D) -cos(iny) + с cos((ny) + ...

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Q: Fint the arers for the foltowing Vegtons Sud bn JRegion Shaved between the fireles

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Q: Solve the following diffential eauations a) dy + 4 y = e dy 3n2y = そ? ea3 dy C) N + 2y = そマ dn

A: We need to solve DE.