Find a formula for the described function. An open rectangular box with volume 6 m has a square base. Express the surface area SA of the box as a function of the length of a side of the base, x. SA = m2 State the domain of SA. (Enter your answer in interval notation.)

Q: The function H described by H(x)=2.75x+71.48 can be used to estimate the​ height, in​ centimeters,…

A: The function H described by H(x)=2.75x+71.48 can be used to estimate the​ height, in​ centimeters,…

Q: The temperature, 7 °C, in an office is controlled. For a particular weekday, the temperature at time…

A:

Q: Use the graph of f (x) = – below to find a number d such that |f (x) – 0.5| < 0.1 whenever 0 < |x –…

A: Here we can directly solve the question just by using some properties of a graph, changing the shape…

Q: Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 3 units…

A: We will use basic of plotting.

Q: Find a formula for f'(x) and determine the slopef'(2) for the following function. f(x) el+8r' In(x+…

A:

Q: The price​ p, in​ dollars, of a specific car that is x years old is modeled by the function below.…

A: The price​ p, in​ dollars, of a specific car that is x years old is modeled by the function below.…

Q: Use the five-point endpoint formula to approximate f'(0.78) for the table data points. You must show…

A: The five-point endpoint formula to approximate f'(x0)…

Q: 1. The function g relates the distance that the tip of the minute hand travels in one minute to the…

A: This is a problem of application of mathematics. Here length function is given for minute hand which…

Q: Consider the function f(x) graphed below. For this function, are the following nonzero quantities…

A:

Q: The value of Mr. Dulaney's car x years after its purchase is given by the function V(x) = 15,…

A: The value of Mr. Dulaney's car x years after its purchase is given by the function:…

Q: For the given function, compute the missing values in the following table. Use exact answers (for…

A:

Q: Find the interval where the function, 3 f(x) = * - 4x – 2x? is increasing? O a. (-2,-1) O b. (-∞,…

A:

Q: A colony of 7 million bacteria was determined to be growing in the culture medium shown in…

A:

Q: so, write the function in the form K(x) = ab* and enter the values you find for a and b in the…

A:

Q: Approximate the function at the value of x to four decimal places.

A: Given that, gx=x-3.4lnx+4

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Find a formula for a cubic function f if f(3) = 108 and f(−3) = f(0) = f(4) = 0.

A:

Q: Differentiate the following function. r(t) = (5t",8 /t, r'(t) =

A: Given:rt=5t4, 8t , 9tDifferentiation formula:ddxxn=n.xn-1

Q: Find the absolute extrema of the function (if any exist) on each interval           f(x) = √(4 − x2)…

A:

Q: could you help please help with these questions. Thank you

A:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given, Cardboard of size 12 cm  by 12 cm in which square corner of sides x cm is cut out. We have to…

Q: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of…

A: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of…

Q: Write a formula for the function g(x) obtained when the graph of fx) = Vx shifted up 1 unit and to…

A:

Q: find a formula for the function g(x) that represents the function f(x) shifted 1 unit to the right,…

A: Given problem:- find a formula for the function g(x) that represents the function f(x) shifted 1…

Q: Determine the formula for the the function f below. p(x) 1 1 - 1 12 1 3 72 1 4 432 2.

A: when x=1 p(x)=12=3·16 when x=2 p(x)=112=3136=3162 when x=3 p(x)=172=31216=3163 when x=4…

Q: 36 Complete the following table for the function y 0.5 1 2 en

A: We can find the value of y using the given value of x as below.

Q: The population P of Buffalo, New York, from 1980 to 2018 can be approximated by the function P(t)=…

A: Solution:- P(t)= 356,656(0.991)t

Q: Find the open intervals on which the function below is increasing and decreasin f(e) = 36 – 46°

A: given function is f(θ)=3θ2-4θ3 find out the open intervals on which the function is increasing and…

Q: For the function g(x) = - (x+2)? + 16, find each of the following by referring to th (A) Intercents

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…

Q: Refer to the function below, and find z when h (a) = 18. h (x) = 4x+2 %3D

A:

Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: x f(x) 0 59 3 53 6 47 9 41 Then  f(3) = 53  and f(9) = 41

Q: Suppose you want to crop (remove) 4 inches from the width of a photo. After you have cropped…

A: original width = x  you have cropped (reduced) the width of the photo by 4 inches. So, new width =…

Q: Use the graph of f (x) = x below to find a number ð such that x – 1 < 0.4 whenever 0 < |x – 1| < 8.…

A: |x2-1|&lt;0.4 means y=x2 is within 0.4 distance away from 1.  So, y is between (1-0.4) and (1+0.4)…

Q: Consider the function f(x) below. Over what interval is the function concave down? Give your answer…

A: Consider the function: fx=4x3−6x2−x+10Differentiate w.r.t. "x",f'x=12x2−12x−1Again differentiate…

Q: Consider the function f(n) = 2 floor(n/2) from Z to Z. a. Is this function one-to-one? Justify your…

A:

Q: Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 10 units…

A: Solution :-  f(x) = xf is shifted 10 units down∴ f(x) = x-10Now, h(x) shifted 12 units right∴g(x) =…

Q: ind the indicated function and write its domain 8) p(x) = x² + 6x, q(x)=√√1-x, (x) = ?

A: We have to determine domain

Q: Evaluate the following function at the indicated values. 2t - ()* R(t)

A:

Q: Find the quadratic function that is the best fit for​ f(x) defined by the table below.   x 00…

A:

Q: Use the graph of f (x) = x below to find a number & such that x-1< 0.2 whenever 0 < |æ – 1| < d. %3D…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: The length side of the box is 12-x-x =12-2x cm So the area of the box is (12-2x)2 cm2 Here height of…

Q: 4. Determine whether the following function is odd or even. Show solutions

A: A function is even when f(x)=f(-x) for all x A function is odd when f(x)=-f(-x) for all x…

Q: Differentiate the following functions. Show the complete solution. 1. ℎ(?)=√?−2??+5?−3/5−7ln? 2.…

A: We will use the following formulas D(x) = 12xD(ex) = exD(xn) = nxn-1D(lnx) = 1xD(cotx) =…

Q: Find the absolute extrema of the function (if any exist) on each interval               f (x) = 5 −…

A: As per the bartleby guidelines for more than three part only three has to be solved .Please upload…

Q: For eccn of the functions below, calculate the in verse function : h-dre=(ワナ 2)9u)%3D33%-1 +5 る) hx)…

A:

Q: Suppose you want to crop (remove) 4 inches from the width of a photo. After you have cropped…

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: Given the function defined in the table below, find the average rate of change, in simplest form, of…

A: given the function defined in the table below: we have to find the average rate of change in…

Q: By reading values from the given graph of f, use five rectangles to find a lower estimate for the…

A: Given the graph of the function y=f(x). a. To find the area of the region under the graph of the…

Q: H(x)=2.75x+71.48 can be used to estimate the​ height,

A:

Q: Find the domain of the following function using interval notation f(x) = X - 6 O A. (-00, 0) O B.…

A: