Problem 7. A rectangular box with an open top has a surface area of 100 square centimeters. The width of the base is 4 cm more than its length. Call the length of the base b. Find a formula for the height of the box as a function of b.

Q: Problem 1: Given the function f (x) = ax + b, determine what should be the values of a and b so that…

A: Here, fofx=ffx=fax+b=aax+b+b=a2x+ab+b............(1)

Q: Problem 8 Write the function if 0 2. in terms of unit step function and find L (f).

A:

Q: PROBLEM 6: Use parabolic interpolation to approximate the function f(x) 10 2sin(x)

A:

Q: The monthly water charge for a farmer based on his consumption can be calculated using this…

A:

Q: Problem 4. Differentiate the following function: 1 g(2) = x + g (x) =

A:

Q: Problem 2 Find analytically (not graphically) the x and y intercept(s) of the function, Y = x – 30…

A:

Q: Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and…

A:

Q: Question 10 Evaluate x 2 for the function y = 3/x +2-1 O 5 O 47 O 11 0 7

A:

Q: |x²+4x=5| |1-x| Problem 1/ Sketch the function: y + 2 =

A: Sketch the function:y+2=x2+4x-51-x

Q: Problem 8. Let f(x) be a differentiable function and suppose that f(2) = 4 and f'(x) > 6 for r in…

A: you can clearly understand if you follow the below solution

Q: Problem # 5e Is the function 0, x2, -2x² + 6x + 3, 1 3 a spline function? Why/why not?

A: We use definition of spline function to answer the question no. 5

Q: Problem 3: Given the function P(x) = ax + b, determine the values of a and of b so that (P P)(x) =9x…

A: The composition of a function is an operation where two functions say  fand g generate a new…

Q: In Problem 8, (a) verify that the function is one-to-one, and (b) find the inverse of the given…

A: 1, 2, 3, 5, 5, 8, 6, 10 a). Clearly each element in the domain is related to unique element in the…

Q: Problem 7: For the given functions / and g, find the following functions and their domain. a(x)…

A:

Q: Problem 3 Evaluate and simplify f'(x) = xe" x+1

A:

Q: For Problems 2–3, find the derivative of the given function. Assume that a, b, and c are constant…

A:

Q: M Problem 1. For the function f whose graph is given below, list the following quantities in…

A:

Q: Problem 4: The volume of a cylinder is known to be 20. Express the total surface area S of the…

A: The piecewise function is defined as the function for which the function is combination of different…

Q: Problem 7. Let f(x) be a differentiable function and suppose that 3 < f'(x) < 5 for all values of x.…

A:

Q: Problem #10: Consider the following function. f(x) = 8 (note that 2n is under the square root in the…

A:

Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

Q: Problem 1. If f(x) has an inverse function f-¹(x), could either the graph of f(x) or the graph of…

A:

Q: Problem 1: After Julia has driven for half an hour, she was 155 miles from Denver. After driving for…

A: Given,After driving half an hour, Julia is 155 miles from Denver.AndAfter driving 2 hours, Julia is…

Q: Problem 3: As discussed, the piecewise expression for |x| is given as S+x, |xl ={-x, x2 0 x< 0 a.…

A: The piecewise expression for x is given as: |x|=+x,   x≥0-x,   x&lt;0

Q: Problems 1-6, Find lim R for each of the functions given below. Write the equation of the tangent…

A: The function is given as, gx=2-x Limit: Calculate the limit,…

Q: Problem 2 A common formula used for counting calories of a food consumed is given by: TotCal(P, F,…

A:

Q: Question 5 elect the equation that represents the function given in the table below. |-2|16 |-111 11…

A: Given: Equation of line passing through the point (x1, y1) and (x2, y2) is (y-y1)=m(x-x1) Where…

Q: Problem 3: Find the functions (a) (f o g) (x), and (b) (g o f) (x) and their domains. f(x) = x- 2,…

A: Topic:- Functions

Q: Problem 8. For a hanging bar with constant c but with decreasing f = 1-x, find u(x).

A:

Q: Problem 3: Find the functions (a) (f o g) (x), and (b) (g o f) (1) and their domains. f(x) = x- 2,…

A:

Q: Problem 5: An unfolded piece of paper is 0.05 mm thick. 1. Complete the table with the thickness of…

A: Note: According to Bartley guidelines we can do only one question so please upload next question…

Q: If the function y=e^−5x is vertically compressed by a factor of 6, reflected across the y-axis, and…

A: Answer is mentioned below

Q: QUESTION 1 Find and simplify the difference quotient fx +h) - f{x), hz 0 for the given function.…

A: The given function is  f(x) = 8x2

Q: Problem 3: Find the linear expfesieoer apprDumation of the function fC) = Itx at a=0_and use it to…

A: Given : f(x) = 3√(1+x)

Q: Problem 1 Classify the following functions into convex, concave, non-convex or non-concave. (1)…

A:

Q: Problem 6. For the function y = 3 give an interval where the Mean Val.ue Th orem DOES NOT 9pply

A:

Q: Problem 5. Find the value of the constant c that makes the following function continuous on (-00,…

A:

Q: Problem 10. Find the interval where f is increasing or decreasing, and find the loca maximum and…

A: Given problem:- Find the interval where f is increasing or decreasing, and find the local maximum…

Q: Problem 7: Sketch the domain for the function f(x, y) = In((x – 1)0+1))

A: Given function: f(x,y)=lnx-1y+1

Q: For each function and graph in Problems 21, 22, 23, and 24 a. use the graph to identify r-values for…

A: Remember that the slope of the tangent on the curve reveals the sign of y'.  If slope &lt;0 , then…

Q: Problem 1: A beverage company has just completed brewing a large batch of tea (1500 gallons). They…

A: Given, Large batch of tea = 1500 gallons

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

A:

Q: Problem 6. A researcher is trying to determine how class attendance and sleep impacts student test…

A: Introduction: A partial spinoff of a feature with numerous variables is its spinoff with recognize…

Q: hat instead of having a box with square ends, you have a box with square sides so that its…

A: Introduction: The volume of the cuboid with length l, width b and height h is given by, V=lbh

Q: Question 4 Make a function rule for the following table -2 -15 >75 m 1. 1.

A:

Q: State the domain and range of each of the functions in Problems 27-30. 27. y = x + 4 28. y = x- 1…

A: According to guidelines ,in multiple question /multiple sub parts question always are allowed to…

Q: Problem 11. Discuss the function f(x) = in terms of its concavity, inflection points, and local…

A:

Q: Problem 2 2. The average cost (in dollars) per mile for riding æ miles in a cab is c(x)=20+22 As x…

A:

Q: Question 9 く > Given the function: 6x +4 0 Calculate the following values: f( – 1) = f(0) = f(2)

A: