(2n-1)! n! (c) [d) { cos(x)} n

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A: To find the derivative of the following function. gx=1+5x55+x-x28

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A: The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be…

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A: f(x)=5x+9g(x)=4x-7(i) f[g(x)], put x=4x-7 in f(x)

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A: cos(y)+sin(x)=1d dx(sinx)=cosxd dx(cosx)=-sinx

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A: Solution: We can find the equation using excel

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A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

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Q: the greatest common divisor of (14n + 5, 3n - 2) is

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Q: 4. Solve: log2 (5m - 2) log₂ (m + 2) = 2

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Q: 6. Find the each of the following limits using rules of limits. a. x²+x-6 lim x→2 x-2 b. lim √x² - 9…

A: Limits

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A: According to question,Given vector,rt = 2-t, et-1t, lnt+1

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Q: [1 2 3] A = 4 5 306 [9 6 7 [14] B = 8 6 [62]

A: To compute the determinants of the matrices A and B. A=123450967B=148662

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A: Given that Volume of sphere is V=43πr3and drdt=3cm/min , r=12 cmwe have to dVdt

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A: Givenf(x)=7x2+3x-8   We are required to find The point on the graph of f(x) where the slope of the…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 11 ln (x + 1),…

A: To calculate the Taylor polynomials T2 and T3 centered at x=a for the function  fx=11 lnx+1, a=0

Q: In Exercises 55-62, find a formula for RN and compute the area under the graph as a limit. 55. f(x)…

A: We know that, RN=∆x∑f(xi)i=1N Where ∆x=b-aN, N represents number of sub intervals And…

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Q: Which of the following is a convergent p-series? (A Β Σ m=1 (D © Σ C Σ(3) n=1 η n=1 n Σ(4) 3

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Q: Suppose that g(x) = 2x + 1 h(x) = 4x² + 4x + 4. Find a function f such that fo g = h. (Think about…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 11 ln (x + 1),…

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Q: 28. Find a linear differential operator (of lowest order) that annihilates the given functio f(x) =…

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Q: 4. If z = = ln(xy) and дz x=rsin 0, y = r cos then show that ae = 2 cot 20.

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Q: If h(x) = √√√3+2f(x), where f(5) = 3 and f '(5) = 4, find h'(5). h'(5) =

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Q: Which angles are coterminal with an angle drawn in standard position measuring 172°? Select all…

A: Angle y is coterminal with the given angle x if the difference between x and y is non zero integral…

Q: 3. Show that there are no tangents to the curve f(x) = 9x³ + 2x² that are parallel to the line 2y +…

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