If f(x)=10*+²-5 and g(x)= log(x+5)-2, show that the functions are inverses of one another using composite functions

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Q: 3x+4y-2z+ cos6x+9 exp(x)=-9 5x+2y+z=-3 x-y+5z=-11

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A: LetI= ∫-2-1dxx+2substitute u =x+2⇒du=dxLower limit: when x =-2u =-2 + 2 =0Upper limit : when x =-1u…

Q: 2: Find the first 4 terms of the Taylor series for: f(x)=sin лx near a=0.5

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Q: from Example 10.18. Using Runge-Kutta method of fourth order, solve for y at x = 1.2, 1.4 dy 2xy +…

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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A: Solution :  Options ( 3 )  is correct

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Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Q: 3) For the function f(x)=2* the two-point formula to approximate the first derivative of fat xis…

A: Solution

Q: B:1: Solve 1. L{t²cosat} 2. L-

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

Q: 2. x=9-y², y-axis; about x = 9

A: Given that region is bounded byx=9-y2⇒x =(3-y)(3+y) and y-axis ; revolving about x =9

Q: Find general solutions 17. y" - 4y = -12x² + 6x - 4;

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

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Q: Example 10.11. Using modified Euler's method, find y(0.2) and y(0.4) given y = y + e*, y(0) = 0.

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A: We have given a map ,  ϕ : A → B , where A = ℝ , +   ,  B = ℝ* , · such that  , ϕx = 2x We know that…

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Q: A 25 C 75 3 ull₂ = 8,ab= 25 then (a + b)2²= B 100 D 50

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A: We have to find the values of x for which the gradient of the tangent to the graph of y=f(x) is…