|x? +3x +1 ax + In x+b ,x21. „r<1; Let f(x) = If function f(x) is differentiable at point x=1, then what is the value of a+f'(2) ?

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: Let x + 5 f(x) f-'( – 2) = Preview

A: We will find f^-1(x) first. Plug f(x)=y Then switch x and y Then solve for y. Put y=f^-1(x)

Q: Let f and g are two real valued functions defined respectively by f(x) = 2x+1, g(x) = x^2-5. Find…

A: Given functions are f(x)=2x+1 and g(x)=x2-5. substitute the given functions in (f+g)x=f(x)+g(x).…

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: Show that f (−1) = f (1), but that there is no point in (−1, 1) where f (0) is zero. Why does this…

A: Given: fx=1-x2/3 So, f-1=1--12/3=1-1=0 Also, f1=1-12/3=0 Thus, f-1=f1

Q: ことる ーx (x+2)(X-2) -6x (x -ax+4) y" CX+2) (x-1)3 need first derivative Eanalysis %3D (x-2)3 (x+2)°

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Q: approximate f'(2.4) with h = 1,0.5,0.25,.. You cannot use the exact value of f' (2.4) to determine…

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: fWT)

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Q: is even, odd function or neither

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Q: - 2 x f (æ) = V

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Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify bn. n = 1…

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Q: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2

Q: Q1/ Find f-1(x) , identify the domain & range of f-1(x), then show that f(f-"(x)) = f"(f(x)) = x for…

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.