Consider the function f(x)=x3−5 on the interval [−4,6]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x,f(x)).

Q: Calculate M6 for f(x) = v2x over [2, 5].

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Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: Find f'(x) for f(x) = e5a+2x

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Q: If the total revenue function for a blender is R(x) = 28x − 0.01x2 where x is the number of units…

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Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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Q: A soap factory estimates that the weekly profit (in dollars) from the production and sale of x cases…

A: Marginal profit is the profit earned by a firm or individual when one additional (marginal) unit is…

Q: Зах + 3 for x -2

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Q: Find g(-T" 1+h -)-2 for h<<r r

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Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

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Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: The population density of a city is given by P(x,y) = - 25x - 30y + 500x + 240y + 180, where x and y…

A: Population density is given by following function  P(x, y) = - 25x2 - 30y2 +500x + 240y + 180

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

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Q: Verify that the function y = c1e (-k+2t)x + c2e (-k-2t)x is a solution to y " + 2ky'+ (k 2 + 4)y =…

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Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: f: Z→ No, x→ 2x, -2x - 1, when falls x ≥ 0 falls x < 0 مید ماس

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Q: Give the interval where y is decreasing y=x²e^x

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Q: For the fast- food restaurant, the revenue function R(x)=60000x-x^2/20000 and cost function…

A: Given that

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

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Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: The productivity of a certain country with the utilization of x units of labor and y units of…

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Q: f(x) = Vxe-x/2 is inc decreacing

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Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: For the function f (x) =x³ – 3 -x² + 8 , find the coordinates of all Critical Points.

A: Given, fx=x3-3x2+8

Q: Q2: Find f-(x) 2x - 3 f(x): I +2

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Q: Find the extreme values of f(x, y) = x² + y² .

A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.

Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

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Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.