18) Determine the annihilator of y-z-efsinz. a) (D-2D³-2D²)y=0 b) (D+2D³ +2D²)y=0 e) (D¹+2D³-2D)v-0 d) (D-2D³ +2D²)y=0

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A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: The answer

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A:

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A: See this solution in below.

Q: 19. lim x²-5x-24 x-5 x²-9

A:

Q: 8) The Bernoulli's equation += dz NIH 2 218 I can be reduced to which linear differential equation?…

A: Ode

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A:

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A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

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A: For the given question ∆x = 4 midpoint with n = 4 is M4M4 = ( a1 + a3 + a5 + a7 )∆x

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A: Please see the below picture for detailed solution.

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A:

Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

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A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

A:

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A: Given query is to find the value of x.

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A: We have to integrate tan x from x=0 to x=1.32.

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A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

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A:

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

A:

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A:

Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

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A: Let effectiveness denoted by E E = 0.03t( 70 - t ) E = 2.1t - 0.03t2

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A:

Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

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A: To find integration of given function.

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A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: (6417 #3 p. 357) Find the average value of f(x) = 6r-r² f(x= on the interval 2<z≤8

A: Given function is f(x)=6x-x2 and the interval is 2≤x≤8.

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A: Please see the below answer.

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Q: : You need to provide a clear and detailed solution for the following Questions: Question 1 Given…

A: Solution: Given data, y"-7y'+10y = -2e3t

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A: Solved below

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A: