The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 70x – 0.02a², 0<æ < 3500. 0 < a < 3500. %3D

Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: B)ls w = Ze² analytical function or not?

A:

Q: Find the absolute extrema of the function on the closed interval.

A: Given function is  y=3-t-3,   -1, 5

Q: Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an…

A:

Q: The derivative dy for the function y=($ +5> 515

A: Here we will use power rule to differentiate

Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: estimate f(x) dx using three equal subintervals with right endpoints, left endpoints, and midpoints.

A: Let us take the subintervals , [3,5],[5,7] and [7,9] to estimate the integral. Using the right end…

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: An experiment was set up to find a relationship between weight and systolic blood pressure in normal…

A: Consider the given function.

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

A:

Q: P = 6x + sq. root of x where x is the number of magazines you sell in a month. If you are currently…

A: Given p(x)=6x+x  where x is the number of magazines you sell in a month.

Q: 2. y = 1 (tanh~' 2x)3

A:

Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

A:

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.)

A: The given function is fx=7x+2 and the interval is 1,3. Obtain the length of the rectangle as…

Q: Evaluate the function: dx ¤(1+x?)

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Q: What is the closest value to the instantaneous function at x = 2? f(x), 2x-1 3x+1 O_1 49 O. 49 1 49

A: A function f is said to be continuous in the open interval (m, n), if it is continuous at each point…

Q: Find the average rate of change of the function f(x) = - 2x – 7x + 8, over the interval [-1,1]. -…

A:

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

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Q: Find the values of a and b so that f will be differentiable at x = 3.

A:

Q: A particle is moving on the x-axis and the position of the particle at time t is given by x (t),…

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Q: Find the approximate value of second derivative f"(0) with the step h for the following function by…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 &lt;= x&lt;= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Find the second derivative f"(x) for f(r) = e(z+2)*.

A: Given: fx=ex+24 for finding second derivative of given function we first take log and find first…

Q: please find h'(1) based of given h(x)=f(g(x))

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Q: Given the function y = f(x) = /x² + 1 a. Use the first derivative to find the intervals

A: The function is given y=fx=x2+1. a To find increasing or decreasing function. y=x2+1 Take the first…

Q: Find the average rate of change of f(x)=3x^2−9 on the interval [1,t].  (answer with an expression…

A: We have to find average rate of change of f(x) on the interval [1,t]

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A: The given function is: y=3t-8t2-t3, 0≤t≤4 where y is the number of frames painted in t hours. Here,…

Q: Find f(2x)dx if f(x)dx = 1. Enter the exact answer. f(2x)dx

A:

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Find the average rate of change of the function f(x) interval1 ≤ x ≤ 6. none of the above 162/8 34…

A: I have given the answer in the next step. Hope you understand that

Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: A 8,000-liter cistern is empty when water begins flowing into it (at t= 0) at a rate (in L/min)…

A: Given the function for rate of water flowing is, Here t is measured in minutes. a. Given the time…

Q: T* dx from a=-1 to b-1 is an even function.

A:

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: Let F(s) = 1.1s + 0.05s2 be the stopping distance as in Example 3. Calculate F(65) and estimate the…

A:

Q: A 7,986-liter cistern is empty when water begins flowing into it (at t= 0) at a rate (in L/min)…

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Q: Use the position function below to solve the following problem. A projectile is fired vertically…

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Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…