Find all complementary functions of the equation x²y"-2y=0, x>0 e²x, e-x 1, xinx X, xlnx x², x-1 a. b. C. d.

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Q: (c) Without using induction, prove that, for every positive integer n, Σ+1 (0) - 0 = 0.

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Q: what would the maximum return be?

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Q: Evaluate the integral. (Use C for the constant of t5 1= √√₁² + 10 100√10 √ (10) 1 10 dt

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Q: 13 ft b. fils Two ladders with lengths 13 ft and 5 ft respectively, are leaning on two walls that…

A: See below the answer and calculation

Q: Consider the function f(x)=x²-5x-1 and complete parts (a) through (c). (a) Find f(a+h); (b) Find (c)…

A: Please refer to the image below

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Q: Let à = and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: Find the indicated derivative for the function. -2 h''(x) for h(x) = 7x2 - 6x-8 h''(x) =

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Q: For each of the following, find and simplify the difference quotient 24) f(x) = 2x²-3x+4 25)…

A: we need to find the difference quotient.

Q: 5) Find lim (₁x) (0,0) (x²-16) (o) [(x-4)² +y ²] if it exists. 2]

A: To find:- limx,y→0,0x2-16cosx-42+y2

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Q: How to use the disc method to find the volume of: x^2 - y^2 = 9 and x + y = 9, y=0 and x=0 ? rotates…

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Q: Find the area of the region R bounded by x-=y² and x = 2 - y2

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Q: Find the particular solution. 3. (D³ + D² + 4D + 4)y = 0; when x 0; when x = 0, y = 0, y'= -1, y" =…

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

Q: FIGURE 3.6 The graph of the solution found in Example 4, y(t) = 2 cos[t - (4/3)]. The identity…

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Q: (2) Find the derivatives of the following functions. (a) f(0) = cos(0) + 2 tan(0) + sin (7) (b) (c)…

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Q: Find lim (₁x) (0,0) (x²-16) (0₁ [(x-4)² ty ²] if it exists

A: For the following problem

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Q: 6. f(t) = 8t³ - t²

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Q: Sam deposits $100 at the end of every 6 months in an account that pays 5%, compounded semiannually.…

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Q: Consider the function 1x6 [2º cos ((1+2) x = 0, -2 M x=0 Assume that we know that g(x) is continuous…

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Q: Let f(x, y) = 4x³ + y³. Find the slope of the surface z = f(x, y) in the y-direction at the point…

A: Slope of surface f(x,y) in the y direction at point (a,b) is given by∂f(x,y)∂yat x=a,y=b   The…