Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

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A: Find your answer below 

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A: Follow the procedure given below.

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A: As per our guidelines we can answer only 1 question, kindly repost the remaining questions specifyin...

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A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

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Q: 11. у" - у" - у +у%3D0

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A: Given that: x=4t2+4t, y=5t+1

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A: let (x,y)=(3,-8)  

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Q: In | lim x |

A: We can solve the limit as below 

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A: Please see the below picture for detailed solution for detailed solution. 

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A: Given : f(x) = ln(x+5) -2 To find : Domain, Range, Equation of Asymptote, and End behavior. 

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A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are ...

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A: Let's find. 

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A: Given (D2 + 1) y = tan x

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A: We have to find the finite integral in first quadrant surrounded by the curve x=y^2+2 And the straig...

Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

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A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

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Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

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Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

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Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: A per your request , (b) The equation of sphere is given as , x2+y2+z2=Rs2 and Radius of drill=Rd f...

Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a) 

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

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A: Here we will setup the integral for finding surface area, 

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Q: E Homework: Homework 5.4 Express as a single logarithm and, if possible, simplify. log a +4 log b lo...

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Q: Question 7 If 1 = (6,9) and v2 = (2, 6), then find 30, + 202. Type your answer in component form, (...

A: Topic:- vector addition

Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

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Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?...

A: See the details solution in below

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A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: Find the derivative of the function. g(x) = (1 + 4x)8(3 + x – x²)º g'(x) = %D

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Q: an² y dx = sec²x dy

A: