(1 point) The number of bacteria in a refrigerated food product is given by N(T) = 25T2 – 162T + 79, 6

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: A ball is projected off of a 400-ft-tall building at a velocity of 45 ft/sec. The function f (x) =…

A:

Q: b) Find the absolute maximum and minimum values of function f(x) = (x– 2)5 over the interval [-3, 4]

A: Absolute extrema can occur either at the points of local extrema or the boundaries of the interval.…

Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: True or False The function f(x) = 2x/(x - 3) has y = 2 as a horizontal asymptote.

A: Given: fx=2xx-3 Concept Used: If degree of denominator is equal to the degree of numerator then…

Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: Let P=(x,y) be a point on the graph of y=x2-5  a) Express the distance d from P to the origin as a…

A: P=(x,y) be a point on the graph of y=x2-5

Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: 3. y = 5x - sec (x) differentiate the given function

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the interval(s) where the function is increasing and interval(s) where its decreasing. 1- x2 2.…

A: We need to find the intervals in which the given function is increasing and decreasing.

Q: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

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Q: Example: Use the Secant method to estimate the root of f(x) = e-x-x. Start with initial estimates…

A: To use secant method to estimate the root of fx=e−x−x

Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

Q: 4.The derivative of a function f is given by f'(x)=(-2x-2)e^x, and f(0) = 3. A. The function f has a…

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Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

A:

Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Find the average rate of change of f(x) = 7x² - 6 on the interval (3, t). Your answer will be an…

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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Q: Find the average rate of change of f(x) = 2x² – 8 on the interval [3, t]. Your answer will be an…

A:

Q: 4. Determine the critical points of the function: f (x) 5.xeº-2x %3D Enter your answer

A: Solution

Q: Find the average rate of change of f(x) = 4x² – 9 on the interval [5, t]. Your answer will be an…

A:

Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: 9. Given the function f (x) = 3x -4x2 + 2, use the first and second derivative tests to find: a) the…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Find the critical numbers of the function: g(t)= |4t-5| Thank you!

A:

Q: Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered…

A: To evaluate the critical point of the following function  f(x) = 3xx2+9

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x? – 12x + 5 b) Determine…

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Q: V1-x -1sx<l 8. Find the relative extrema, if any, of the piecewise function f(x)={ xr-1 1Sx<2 2<x54

A:

Q: 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: Find the critical points of the function h(x) = 3x – 4r³ – 72a + 5 Enter your answers from smallest…

A:

Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

A:

Q: A rancher wants to enclose an area of 3000000 square feet in a rectangular field and then divide it…

A:

Q: Consider function y = 4x divided by x2 + 3 Determine all relative and absolute maxima and minima…

A:

Q: Find the average rate of change of f(x) = 9x² – 6 on the interval [5, t]. Your answer will be an…

A: Average rate of a function, f on an interval a,b is given by : f(b)-f(a)b-a.

Q: Find the absolute extreme values of the function on the interval. 14) f(x) = ex - x, -1 sxs 2 %3D

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Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

A:

Q: 6. Find the values of x for which the line tangent to the graph of f (x) = 4x2 – 3x + 2 has a…

A:

Q: A function y = f(x) is decreasing on the interval [0, 5]. What conclusions can you draw about the…

A: A function is increasing, if when x increases, the value of y also increases.          Since the…

Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

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Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

A:

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

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

A:

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: To find: The number of item sold to maximize the revenue R. Given: The demand function is . Formula…

Q: 1.) Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2?

A: fx=2x3+300x3+4

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.