Jsing the chain rule, differentiate the following function below. 1 y = V3x2 . V5x

Q: Using the function: T(t) = 25.5 + (96.786 - 25.5)e-0.04t When will the water have cooled to 35…

A:

Q: A free-falling object has position function s(t) = - 16t2 + 25 where s is in feet and t is measured…

A: Acceleration is the second derivative of the position function.

Q: 5. Which model is not a function? O A. с. For each load of laundry, Dyson's family uses 1.6 fluid…

A:

Q: Construct a function for the following scenario. The total cost of renting a vacation home includes…

A: The equation of the line can be represented as y = mx + c, where c is a constant and m is the slope.…

Q: 10. The function below is: &r – 8y = 16 a) Increasing b) Decreasing c) Constant d) Neither

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The table below shows various values of fiunction fon the interval [-2,3]. f(x) -2 -16 -1 -3 -1 3…

A:

Q: Consider the function s(t) = t2 − 1 − t. What is the value of s(3)?

A:

Q: 11) From 2007 through 2012, the consumption B (in pounds per person) of blueberries in the United…

A: Check the derivative of given function if it is positive than B increasing otherwise not.

Q: As UT is beating Rice, many fans leave at the beginning of the 4th quarter. The wait time in their…

A:

Q: A crystal growth furnace is used in research to determinehow best to manufacture crystals used in…

A: Given Data The equation of temperature and power is T(w)=0.1w²+2.155w+20.   (a) Put the value in…

Q: 2. Let f be the linear function f1x2  5x  7 .(a) The rate of change of f is .(b) The graph of f…

A: Solution:          Linear functions are those whose graph is a straight line. Linear function has…

Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

A:

Q: In 2008, the University of Central Florida was the sixth largest university in the country. The…

A:

Q: Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be…

A:

Q: A verbal description of a linear function f is given. Express the function f in the form f(x)=ax+b…

A:

Q: In the following example quantities x and y are given. Interpret the role of change in words. y is…

A: Note:- The differential dy/dx represents the principal part of the change in a function y = f(x)…

Q: Determine the net change and the average rate of change for the function f(t) = t² – 4t between t =…

A:

Q: Q3 The table below reports an annual variation of the air temperature, , at a hydrolog station, and…

A: Air temperature:   Null hypothesis:   H0: There is no change in annual variation due to T(t).…

Q: Suppose g is a linear function such that g(3.6) = 5.1. If the slope of g is -2.2, what is g(6.8)?…

A: Given          g(3.6) = 5.6 Slope of g = -2.2

Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate…

A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b)…

Q: For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest…

A:

Q: Management at a factory has found that the maximum number of units a worker can produce in a week is…

A:

Q: Find the power function that models the data in the table below. x 1 4 5 6 7 8 y 3.1 4.3 5.9 7.1 8.1…

A: Given that the data in the table is     x   1   2   3   4   5   6   7   8  y  3.1  4.3  5.9…

Q: Find a function rule for determining the number of toothpicks needed to build shape n under the…

A:

Q: nter the answer in the space provided The table displays values of a linear function. 10 10 14 What…

A: Given function is a linear function  Rate of change of the function is nothing but the slope

Q: 21. For the function below, what is the decay factor? y = 5(0.35)* 35% 65% 0.35

A:

Q: Suppose f is a linear function such that f(2) = 6. If the slope of f is 2.7, then what is f(6)?…

A:

Q: Find a power function y = axp going through the points (1,3) and (6, 180). In the box below state a…

A: Consider the given power function y=axp

Q: The reproduction function for king salmon in a sea is f(p) = - p? + 9.5p, where p and f(p) are in…

A: Given, The reproduction function  fp = -18p2+9.5p  We have to find the population p which gives…

Q: Ten deer were introduced into a protected preserve. Their expected population doubles each year.…

A: The formula for the population at the time t=   Pt=P0×(Rate of increase per year)t   i.e. =10×2t…

Q: A rocket motor is manufactured by bonding together two types of propellants, an igniter and a…

A: Given information: The data represents the values of the variables Strength and Age.

Q: %3D What is the average rate of change of the function fgiven by f(x) x-5xon the closed interval (0,…

A:

Q: The percentage p (of total personal consumption) an individual spends on food is approximately…

A:

Q: 10. (06.05) Ally is analyzing a circle, y+ x = 4, and a linear function g(x). Will they intersect?…

A:

Q: The temperature adjusted for wind-chill, w, is a temperature which tells you how cold it feels, as a…

A: Given Information:   T=35 T=30 T=25 T=20 T=15 T=10 T=5 T=0 s=5 31 25 19 13 7 1 -5 -11 s=10 27…

Q: Use the table below to find the pattern. Fill in any missing y-values using your pattern. What type…

A:

Q: Which type of function is shown in the table below? f(x) 1 8. 16 3 32 4 64 128 O Quadratic O Not a…

A:

Q: Find the power function that models the data in the table below. 2 3 4 8 y 3.1 4.5 5.9 7.1 7.8 9.1…

A:

Q: Tax Usage Y 26.26666.04 16.32777.73 19.49921.97 29.29484.77 22.73885.77 12.54597.13 The above given…

A: The following data for the X and Y variables are provided to construct linear regression model: X…

Q: 7x + Find the average rate of change of g(x) on the interval[-4, 2]. x4 %3D Question Help: Video M…

A:

Q: Which type of function is shown in the table below? f(x) 1 8 16 3 32 4 64 5 128 O Exponential Linear…

A:

Q: The function T(y) gives the end-of-year tablet sales in thousands at an electronics store y  years…

A: given: The function T(y) gives the end-of-year tablet sales in thousands at an electronics store y…

Q: The manager of the Many Facets jewelry store models total sales by the function 3000t S(t) 7+0.2t…

A: The rate of change of "y" per unit change in "x" is then calculated as follows:dydx Given: - The…

Q: A projectile is shot upward from the surface of Earth with an initial velocity of 104 meters per…

A: In this question we have to find the velocity after 2 seconds and after 10 seconds.

Q: 10. The function below is: &r – 8y = 16 a) Increasing b) Decreasing c) Constant d) Neither 11 Using…

A: Given that:

Q: a pharma company introduces a new headache medication on the market. They advertise on tv and find…

A:

Q: Airport administrators usually price airport parking at a rate that discourages people from using…

A: (a) The cost when the time t = 2.5 h is,

Q: Which type of function is shown in the table below? f(x) 1 8 16 4. 32 64 O Exponential O Quadratic…

A: The exponential function is of the form , the quadratic function is of the form and the linear…

Q: The table below contains data for a linear function: Find a formula for the function. f(t)=

A: Given a table of points. We need to write the linear function formula.

Q: Airport administrators usually price airport parking at a rate that discourages people from using…

A: From the given table, it is observed that the function value takes the cost $6.50 when the value of…