8. Find the zero of f(x) = 5x - 3. %3D

Q: The local linear approximation for f (x) = Vx2 + 16 near x = -3 is

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

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Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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Q: (a): Find the critical points of the function f(x) = 6x? – 12x. -

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Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: Suppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where…

A: Step:-1 Note:-  your cost expression is not clear here as it can be 5a+b4v3   or   5a+b4v3 , So i am…

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: The concentration of the drug in the patient's bloodstream after t minutes is given by

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: 2. Consider a population of bacteria that grows according to the function f(t)=500e^0.05t , where t…

A:

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: What values of a and b maximize the value of ! (7x-x) dx? a

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Q: The revenue from a manufacturing process (in millions of dollars) is projected to follow the model R…

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Average cost function is given by:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

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Q: 49. Profit If the profit from the sale of x units of a product 200 x, what level(s) of production is…

A: Solve 49

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given:

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: 3. Suppose that for a company producing r face shields per week, the cost (C) and revenue (R)…

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Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: Find the marginal profit for producing x units. ( P = -0.3x³ + 10x² – 168.45x - 3000 dP dollars per…

A: Marginal profit is the measure of the increment of the profit function for unit increment of x, at a…

Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

A:

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: Suppose that y is inversely proportional to square root of x. Find the constant of proportionality k…

A: Given : y is inversely proportional to square root of x

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: ズ-1 f(x) = X + 3

A: given: f(x)=(x-1)/(x+3) x=4 delta(x)=8

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

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Q: For the linear equation y = 6.6 + 8.lx If x increases by 8, what is the resulting change in y?

A: Given: Interpretation of slope: For every one unit increase in x, the predicted value of y…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

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Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: 4. Given the functions X, (x)-(+) and (x)-(+) = = rapidly than f₂ f increases fill in the blank…

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