- Domain Find the domain of the function. 61. f(t) = V - 1 63. f(x) = VT- 2r 62. g(x) = V7 – 3x 64. g(x) = Vr – 4 %3D V2 + x 65. g(x) 66. g(x) = 3 — х 2x + x - 1

Q: 1. When x gallons of olive oil are produced the profit function is given by P(x) = -: (i) Find the…

A: Solution is given below:

Q: 13. Maria compared the slope of the function f(x) = 2x +7 to the slope of the linear function that…

A: Given,  The functions   fx = 2x+7  and  gx with table of values  We have to find the slope of  fx…

Q: Cholesterol Researchers have found that the risk of coronary heart disease rises as blood…

A: The risk of heart attack and the level of cholesterol are related to each other by the equation…

Q: The reproduction function for the North American duck is estimated to be f(p) = -0.02p2 + 7p, where…

A: Formula: The vertex of quadratic function y=ax2+bx+c is given by, -b2a, f-b2a Given: The…

Q: Solve the given optimization problem by using substitution. Find the maximum value of f(x, y, z) -5-…

A: Given  fx,y,z=5-x2-y2-z2 subject to z=4y. The given function is a function in 3 variables.  The…

Q: x2 + 5x + 8 if x 1 on the interval (-2, 3]. The maximum value is and the minimum value is

A:

Q: A firm has an average cost function A(q) = 125/q +q2/16 -4 where q is the firm's output…

A: Consider the provided question,

Q: 6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the…

A:

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: A function T(x) is givenT(x)=-0.25x4+x3,       0≤x≤3

Q: The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars…

A:

Q: H. 1. 7, 7. When is the function increasing or decreasing? Where are the critical points?

A:

Q: The point (a,b) is the critical point of the function f(x,y) = xe +6y-8X+6 Find the value of a.

A: The function is: f(x,y)=xey+6y-8x+6

Q: 9. Factor and sketch ƒ (x) = -2x° – 10x + 18x* + 162x³ + 216x2 b) State when the IROC is zero c)…

A: b) The givne function is f(x)=-2x6-10x5+18x4+162x3+216x2 Differentiate with respect to x,

Q: Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x3 − 0.03x2 + 200x dollars,…

A:

Q: f(x)=x3+4.5x2-12x+3 d) Find the x-value(s) where f'(x) has a relative maximum or minimum.

A:

Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: The demand function for a tablet is given by the model p = 200-16x2  where p is measured in dollars…

A: Our objective is to Derive the number of tablets that the company could sell to make the same amount…

Q: The function y a = -3 = ax¹ + 1 has a minimum at the point (√(√)). . Determine the value of a.

A: option(5) is correct.

Q: A quadratic function is defined by f(x) defined by g(x) the two functions intersect at exactly one…

A: Given quadratic function is  fx=9x2+3x-4 and linear function  gx=mx-5 where m is the slope of the…

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,…

A: Solution is written in below steps.

Q: The profit function for a certain commodity is P(x) = 190x - x2 - 1000. Find the level of production…

A: Given: The profit function for a commodity is Px=190x-x2-1000, Here P is expressed in dollars. On…

Q: -x2 The demand function for a product is p D(x) = 300e200 revenue. Show all of your work to prove it…

A: We know that Revenue function is given by

Q: 4. A smokestack deposits soot on the ground with a concentration inversely proportional to the…

A:

Q: 6. The total profit P(x) in thousands of dollars from the sale of x units of a certain prescription…

A:

Q: After dinner at Viva Mexico in Juarez, a person has two options to cross the BOTA bridge to come…

A:

Q: uaquim's starting salary at a company is $42,000 per year. On average, employees receive a 6.5%…

A:

Q: Determme the quadratic curve y f(x) if it touches the line y x at the point x 1 d passes through the…

A:

Q: 23. Determine the maximum and minimum value of the function fx) = -xe + 2. 24. A boy is selling…

A: Note: as per our guidelines we are supposed to answer only one question.* *Kindly repost other…

Q: c Which function has an absolute maximum with a greater y-value? A 5- -10-5 5. 10 -1 -5- 10- 0.5…

A:

Q: A box with a square lid uses a material for the lid and bottom that costs $ 4.00 per square meter,…

A: We can solve the given problem by using the second derivative test.

Q: For a certain company, the cost function for producing r items is C (r) – 50 z + 100 and the revenue…

A: To find their profit for 50 items

Q: 10. A building materials company sells gravel. Suppose that C(x) = 0.5x² +3x %3D represents its…

A:

Q: (a) Write the distance between (x, y) and (5, 0) as a function of x and y. d (b) Write the distance…

A:

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: For constants a, b, c find the critical point for f(x2bab2, with a, b 0 If a0 does this correspond…

A: First find the derivative of the given function and compute the critical points.

Q: Find the critical numbers of the function: g(t)= |4t-5| Thank you!

A:

Q: (CLO-2) Find the linear approximation, L(x), to f(x) at x = xo - f(x)=√√6x+64, x = 0 O L(x)=-x-3…

A: Given f(x)=√(-6x+64)  We hav eto find the linear approximation of f(x) at x=0.

Q: Solve the given optimization problem by using substitution. Find the maximum value of f(x, y, z) = 3…

A:

Q: Module 4: Participation Activity #5 3x-1 Find the critical points of the function f (x) = x+6 Enter…

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

Q: 16. flx) = -r +1 17. flx) = 4x – 2.8 18. Ax) = x + 4 19. flx) = -x + 4.8 20. fle) = r – 21. f(x) =…

A: Here ,                We have given a linear equation in                one variable now we have to…

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: Find the minimum value of the function.

A: Given, y=ex2-4x

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x? + 2y? = 24 Maximum…

A:

Q: Q.6 Find the absolute maximum and minimum values of function f(x)=- 3x , on V4x +1 the interval ;…

A: The absolute maximum an minimum values of a function can be found by first taking the first…

Q: f(x)= 36x + 3x^2 - 2x^3 where is f increasing? Where is f decreasing? For what x values, if any,…

A: First we will find it's derivative if derivative is greater than 0 in any interval that means f(x)…

Q: 2. The function f is defined by f (x) = x²e-z'. At what values of does f have a relative maximum? A…

A: Differentiate f(x)=x2e-x2 with respect to x and equate the first derivative to 0 to find the values…

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $8 the…

A: a) Given:         Let x be the average attendance               y be the price    The two points are…

Q: A student is taking two courses. They wish to maximise their average mark for the two courses. The…

A: a)We are given two equations, M1=50+αt112 and  M2=-120+βt2 . We need to maximize,  M1+M22 .