Given: f(x) = 3x³ - 2x² + e³x; Let h = 0.5 a) Find the approximate value of f'(4 b) )Find the True value of f'(4) c) Find the True error of f'(4) d) Find the relative true error

Q: The one-to-one function g is defined below. 8x-7 x+9 g(x)= Find g(x), where g¹ is the inverse of g.…

A: g(x)=

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A: given

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A:

Q: The ACME manufacturing company makes widgets. Their fixed costs are $2000 per month, while their…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: d) f(-12) = e) lim f(x) = 118 f) lim f(x)= +8-个H g) lim f(x) = x4-8 h) f(-8) = i) lim f(x) 8118 = =…

A:

Q: 7. lim x-1x³ 2x²-x-3 + 2x² + 6x +5

A:

Q: Find the domain and range of the function graphed below. Use interval notation. -5 -4 -3 -2 -1 A)…

A: To find the domain and range of the function graphed below.

Q: Evette creates a coordinate grid and plots 4 points on the grid. a) Which point is at 3,2? b) Write…

A:

Q: Q2: Solve 1- y// + y = secx

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

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A:

Q: The graph of f is given below. Use the graph of f to determine the given limits and function value.…

A: Solution is following in step 2.

Q: 13. 1³+2³+3³ +.. +n³ = n²(n + 1)² 4 14. 2+5+ 8 + +(3n 1) : = - n(3n+1) 2

A:

Q: (a) Compute $3 (the 3rd partial sum) of s = 83 = Estimate = Note: if giving a decimal approximation…

A:

Q: Using the following graph 4 31 2 AS -3 -2 -1 3 4 5 6 a) At which values does the function…

A:

Q: Notice that the curve given by the parametric equations x Y = = 162 t³ - 9t is symmetric about the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use Lagrange multipliers to find the closest and the furthest points on the cu y = x² from point (0,…

A:

Q: lim 818 14x³ + 3x² - 2x 21x³ + x² + 2x + 1

A:

Q: Determine if f(x, y) is continuous at (0,0) where x²y² √x² + y² 0 f(x, y) =. if (x,y) = (0,0) if (x,…

A: To determine whether  is continuous at where

Q: Find f'(x) and f'(c). f'(x) = Function f(x) = (x³ + 4x)(7x² + 5x − 6) Value of c C = 0 (x³ + 4x)…

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Q: (7) Evaluate the following integrals x (a) √2 + In a J X dx

A:

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A: The line x= k is the vertical asymptote of a function y= f(x)  if the limit of the function at this…

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that…

A: To fine

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Q: An object is thrown upward at a speed of 72 feet per second by a machine from a height of 19 feet…

A: An object is thrown upward at a speed of 72 feet per second by a machine from a height of 19 feet…

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Q: (b) C'(x) = 0.03e0.01; Fixed cost is $8.

A: To find the cost function for the following marginal cost function.; Fixed cost is $8.

Q: For f(x) = x^2 + 3x - 5, find the simplified form of the difference quotient.

A: For a function f(x), the difference quotient is given byf(x+h)−f(x)h

Q: A drag racer accelerates at a(t) = 72 ft/s². Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: You have been provided with the initial value problem shown below: x'+4x=64t, x(0)=9 Laplace…

A: Take Laplace transform on both sides.Here we have x(0)=9

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A: The given function is .The aim is to find the value of the limit.,, and.The limit of a function at…

Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

A:

Q: Sketch the region in the xy-plane defined by the inequalities x - 5y² ≥ 0, 2 - x - 9|y| ≥ 0 and find…

A:

Q: You have been provided with the initial value problem below: X"-6x¹-27x=sin(2t), x(0)=4, x'(0)=3…

A: Take Laplace transform on both sides.

Q: In 2011, the world's population reached 7 billion and had been increasing at a rate of 1.2% per year…

A:

Q: Perform four iterations of the New initial estimate to find a root of th f(x) = 4x³13x2 +6 Give your…

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Q: Thus, I f (or coso, or sino) - 01 or r = √√√x² + y² < €113 we chouse & < € of whenever Therefore lim…

A: Given: we have to give the meaning of ?

Q: Let f(x) = x² + 4x+2 if x #-2 1-1 if x=-2

A: f(x)={x2+4x+2 if x≠−2−1 if x=−2

Q: At what points is the following function continuous? f(x) = 3 x + 343 2 - 49 X - 10.5, 9, X#7, X - 7…

A: To determine the points at which the following function is continuous.

Q: Find the equations of planes that just touch the sphere (z-3)² + (y - 3)² + (z-3)² = 9 and are…

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Q: The graph to the right shows the graph of y=-x² shifted to two new positions labeled (a) and (b).…

A: The graph given below shows the graph of shifted to two new positions labeled (a) and (b). To write…

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Q: lim cc-2 x²-3x - 10 x+2

A: Explaination of the answer is as follows

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A: Let two points denoted by Then distance between these two points is given as follows The mid point…

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Q: 1. The figure below shows a graph of a function f. At which numbers is f f discontinuous? Why? ya +…

A: The figure below shows a graph of a function . To determine the numbers at which the function is…

Q: Find the particular solution to the differential equation y' = 8x³y that passes through the point…

A: The given differential equation is y′=8x3y, and the general solution is y=Ce2x4.To find the…

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A: The Taylor Series:Where centered at

Q: Solve for y(x): [y(x)³¹(x) = e³(x) y(0) = i

A: Given Differential Equation

Q: Let f(x) = 1 for all x 4.

A: f(x)=1 for all x≠4