Let f(x) = x² In x. The approximation of f''(0.3) using the following formula with h = 0.1 is: f(x + 2h) – 2f(x + h) + 2f(x – h) – f(x – 2h) 2h 2 -13.53 O -27.06 O -11.111 O 7.1

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: please show all steps what are 2 critical points of the function: f (x)  =  esin(πx/20) −…

A: Consider the function f (x)  =  esin(πx/20) − cos(πx/20)

Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: Calculate the first three approximations x1, x2, x3 to a root of f (x) = x2 − 5 using the initial…

A: fx=x2-5,   x0=2 Differentiating with respect to x, we get f'x=2x Now,…

Q: Let V := P2(R), and define T: P2(R) → P2(R) by T(f) := f(2) + f'(0)x + f"(1)x². Find the matrix…

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Find a formula for ƒ¯¹(x) if ƒ(x) = = (²+1)* ƒ-¹(x) = (-¹)'(z) =

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Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

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