The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function T(x)=94-10cos[pi/12(x-2)], where x is hours after midnight. Find the rate at which the temperature is changing at 4 p.m.

Q: Find the instantaneous rate of change for function at the given value. F(x) = x2 + 2 at x = 0

A: Given a function, F(x) = x2 + 2 at x = 0 To Find the instantaneous rate of change for function at…

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the instantaneous rate of change of each function at the given x-value.

A: Part a,Given,           fx=2x2+3x-4 at x=-3

Q: With the given graph, estimate the instantaneous rate of change at x= -1 and show the steps. Next,…

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Q: Find the derivative of the function h(x) = log5 (x/x − 1)

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Q: Estimate the instantaneous rate of change at the point indicated. f (x) = ex ; x = e

A: To find the instantaneous rate of change at indicated point:f(x)=ex;x=e. Solution: we know, the…

Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

A:

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: Consider the function f (x) = x2. Calculate the rate of change of f (x) at x = 1, and compare your…

A: Consider the function f (x) = x2  To Calculate the rate of change of f (x) at x = 1.

Q: Find the instantaneous rate of change for each function at the given value: g(t) = 1 - t2 at t = -1

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Q: Find the equation of the graph and estimate the instantaneous rate of change at x = 1

A: From graph we can conclude that the equation of this graph be a parabola i.e., a quadratic equation.…

Q: Given the function f(x)=x2/3, which of the following is a valid formula for the instantaneous rate…

A:

Q: Evaluate the second derivative of  the image if a = 380 and b = 0.4 at x = 5 using BDA  with Δx…

A: The finite difference formulae can be used to calculate the derivatives of the functions. The…

Q: for the function f(x) = 2 cos(45x)o , determine: the instantaneous rate of change at x = 12. you…

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Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

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Q: What is the closest value to the instantaneous rate of change of the following function at x = 2?…

A: Instantaneous rate of change of a function at a point represented by the slope of the line at that…

Q: Find the instantaneous rate of change of 7. y = (x + 1)*(x – 3) at a = 1.

A:

Q: A town library estimates that, when the population is x thousand persons, approximately y thousand…

A: A town library estimates that, when the population is x thousand persons, approximately y thousand…

Q: The atmospheric temperature T (in degrees Celsius) at altitude h meters above a certain point on…

A: Explanation: Given that,  T=15-0.0065hh≤12,000m     Concept Used: Average Rate of Change-…

Q: 3. fox =V X at X T6

A:

Q: If f(x)=9x+6, find the instantaneous rate of change of f(x) at x=-5

A:

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is…

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

Q: Find the average rate of change of f from 0 to π /6 . f(x)=sec(2x)

A: To find the average rate of change of function,from 0 to π6. f(x)=sec(2x) Solution: We know, Average…

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The…

A:

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: Find a real number a such that the instantaneous rate of change of the function flx) =2x²+ 4x+7 at x…

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Q: Find the derivative of the function f(x) = log23√(2x + 1)

A: To find derivative of fx=log22x+13

Q: sinh(3x) g(x) 3

A:

Q: The function ​f(x)=0.08x+400 represents the rate of flow of money in dollars per year. Assume a…

A:

Q: Find the derivative of f( x ) = a° log (x + 7.5). f'(x) =

A: We have to solve

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О

A:

Q: Find the instantaneous rate of change for each function at the given value: F(x)= x2 + 2 at x = 0

A: Given: F(x)= x2 + 2 at x = 0

Q: A particular car club has found that the number of members can be modeled M(t) since the year 2010,…

A:

Q: Question 26 Calculate the average rate of change for the function f(x) = 2x² − 3x + 5 1 over the…

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Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: for the function f(x)= √2x+3, estimate the instantaneous rate of change at x=5. use h value of 0.01

A: The instantaneous rate of change of f at x = a is f'(a), if it exists,

Q: Solve the second derivative ду? for f(x) = tan-1

A: the given function f(x)=tan-1x2y2to find ∂2f∂y2

Q: A culture initially has No number of bacteria. At t =1hours the number of bacteria is measured to be…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: The yield V (in pounds per acre) for an orchard at age t (in years) is modeled by the function…

A: Given: V=7955e-0.0452/t

Q: The population ( in hundreds ) of fish in a pond is given by P(t) = 2t + sin(2t – 10) t months from…

A:

Q: Find the instantaneous rate of change for each function at the given value: . ƒ(x) = x2 + 2x at x =…

A: we have to find the instantaneous rate of change of a given function   given function is ƒ(x) = x2…

Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Find the derivative of the function

A: given h(x)=log3xx-12we have to find the derivative of the given function

Q: Suppose that the yield (measured in kg/ ha) of an agricultural crop is represented by the function…

A: We need to find rate.

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: Use f(x+0.0001)-f(C) 0.0001 f(x)=52²-7x ata = 2, to the nearest tenth. to determine the…

A: Given function f(x)=5x2-7x