The truncation error in calculating f '(4) for f(x) = 11x³ by using f(x+h) − f (x) approximation with h = 0.5 most nearly f'(x) = h is

Q: Use the given information to find f '(8). f(x) = 5g(x) + h(x) g(8) = 3 and g'(8) = 2 h(8)= -2 and…

A: Given,f(x)=5g(x)+h(x).Given,g(8)=3 and g'(8)=2.h(8)=-2 and h'(8)=-6

Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: f(1) = (r + 2x + 8)4

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: Let f(x)=x^4-6x^2+10 solve the following    1. Fine the equation of the tangent line when x=1  2.…

A: Please refer to the image below

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: +20x-22y-14-0 become when referred to the rectangul axes through the point (-2, -3), the new axes…

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Q: 2 If f'(x) = 3x2 - and X f(1) = 0, find f (x)

A:

Q: Estimate the root very near x = 0.4 of 4(x*)" - 4(x²) + 1 = 0 using the Newton- Raphson Method with…

A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

Q: If the slope of the curve y =f'(x) at (9,6) is 5' f (6) = (Simplify your answer.)

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Q: Find f. 3 f'(x) = 1 - x? f(x) =

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Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Find f'( – 2) for f(x) = In(5x² + 20x – 7) rounded to 3 decimal places. || f'(– 2) = %3D

A:

Q: Suppose F(x) = x² · g(x). Find the value of F'(-2) if the following values are known: g(-2) = 3,…

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Q: Given that f(x) = (x-2)/(x+3), find the slope of the tangent line at x = 2. %3D O a. 1/2 O b. -1/5 O…

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Q: Let f(x) = 4x - 32√x and a = 4. Compute f'(x) and find an equation for the tangent line to the graph…

A: