The concentration of salt x in a homemade soap maker is given as a function of time by

Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

A:

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases…

Q: Sketch the graph of the function. y = −ex−1

A:

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: sketch the graphof the function.y = e−x

A: GIVEN y = e−x we need to sketch the graph

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x², (0, 9)…

A: Given function is fx=x2  and the point is 0, 9   To Find: The points on the graph of the function…

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given volume function fx=x3 to find instantaneous rate of change of the volume x=4 in

Q: The reciprocal function decreases on ______________

A: Answer: The reciprocal function function decreases on negative infinity

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: Sketch the graph of the function

A:

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: f(x)

A: The solution is given below

Q: Determine where the function f(x) = √ x / x + 1 is increasing and where it is decreasing.

A: fx=xx+1

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: find the average rate of change of the function from x=1 to x=2  f(x) = -(2/x^2)   average rate…

A:

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: determine the slope function S(x) for f(x)= lxl

A:

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: f(x) =

A:

Q: pressure

A:

Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: In certain conditions, the atmospheric pressure (p) in the height (h) is given by p=29e-0.000034h.…

A: It is given that the atmospheric pressure in the height is given by the function…

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: y = x"ex

A: To graph the curve

Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

A:

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x²-3, (0, -1)…

A:

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a…

A: Since multiple subparts are posted, we will solve the first three subparts only. To get the…

Q: Describe the graph of f(x) = ex

A: Given: f(x) = ex To describe: The graph of f(x) = ex

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)…

A:

Q: Locate the discontinuities of the function. 10 y = 2+e3/ X =

A: y=102+e3x Now, limx→0-102+e3x=102+0=5 & limx→0+102+e3x=102+∞=0

Q: Differentiate the function.

A: Given: y=ex1-ex

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: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

A:

Q: Consider the graph of a function, which shows the number of customers in a department store, y,x…

A: the average rate of change of the function from x=6 to x=12, in customers per hour is given as