Determine whether the function g(x)=√x+1 is invertible, and find the inverse if it exists.

Q: ху 1-23 y =

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: 1 z π/4 tan 0 sec 0 1 146. | [[ x² + y² 0 0 dy dx = dr de

A: Use the relation between cartesian coordinates and Polar coordinates.

Q: 3 S fine f(1) in a way that extends f(s) = 2 - 1 to be continuous at s = 1. 1 (Type an integer or a…

A: Given query is to find the value of indicated function.

Q: Solve for the general solution: -4 Oy=a³e + co Oy=x³e +cª Oye +³ e* + c³ Oy=x³ee² + c xý – 4y = co e

A:

Q: Consider the function f(x) = 7x + 6x For this function there are four important intervals: ( − ∞,…

A:

Q: 15 √x +9 Find the average density Pave (in kg/m) of the rod. kg/m The linear density p in a rod 7 m…

A:

Q: QUESTION 2 In the figure below a = (3,1,0) and b= (2,5,0) X Z B TO If 0 = π, what are both a b and a…

A:

Q: kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. At what rate (in rad/s) is the…

A: We will find the required.

Q: For which of the points on the curve x² + y² - 4 = 0 does the slope of the tangent not exist? Select…

A:

Q: Solve for the general solution: x^(-4)= k(y^2+ x^2) x^4-k(y^2+ x^2) x^8-k(y^4 + x^4) O x^(-8)=k(y^4+…

A:

Q: 4. Sketch the graph of a function that is continuous and differentiable everywhere and also…

A:

Q: dors de lim (3x - √90c²-5x+7 84∞

A: Topic - Limits We are given limx→∞3x-9x2-5x+7

Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

A: Concept: In order to answer this particular question, we will employ the idea that the sum of a…

Q: dy dx An equation of a curve is given by x lny + y = 1. Which one of the following is Select one…

A:

Q: Given the function f(x) 3x³ - 18x² a product of linear factors with integers. f(x) = = - 75x - 54,…

A: We have to find out

Q: Which of the following functions is not differentiable on all of its domain? Select one alternative:…

A: Given options:- a) x2+1 b)x+1ex c)x2-1 d)lnx2+1

Q: A roast turkey is taken from an oven when its temperature has reached 175 Fahrenheit and is placed…

A: we need find out the temperature after 45 minutes.

Q: You are a lifeguard and spot a drowning child 40 meters along the shore and 50 meters from the shore…

A: Distance along the shore= 40m Distance from the shore= 50m Run speed = 4 m/sec  Swim speed = 0.9…

Q: Sin (x-7/2₂

A: Sol we have trigonometry function

Q: y= у ха т x-1

A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

Q: Consider the function f(x)=2x^3+12x^2−30x+7, −5≤x≤2 Find the absolute minimum value of this…

A: Given function f(x)=2x3+12x2−30x+7,We know that, at  critical point x=a ,If f 'x>0 to the left of…

Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: O Use L'Hopital's Rule. x²-25 x-5x²-9x+20 5. lim

A: To find out the limit.

Q: Find an equation of the tangent plane to the given surface at the specified point. z = y cos(x - y),…

A: Given z=y cos(x-y)      ; (4,4,4)

Q: 46. y = [x + (x + sin²x)³]4

A: Given y=x+x+sin2x34

Q: 4. Martin's family drives 300 km from their home to a family reunion. His cousin Sherry and her…

A: Since both reach the party at the same time so both take same amo

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: we will find the required.

Q: dy da An equation of a curve is given by x ln y + y = 1. Which one of the following is Select one…

A:

Q: What is f'(x) if f(x) = -? 40x5 ex

A: Given data, fx=40x5ex

Q: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

A: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

Q: Önsider the integral 9 S² = the integral is divergent, type an upper-case "D". Otherwise, evaluate…

A: Given query is to find the value of the integral.

Q: #37) (modified) Find the equation if the tangent line at the point x=1: y = x4 + 1/x - 3ex

A:

Q: show me steps on how to get the rational equation: x-int = -2/5, 1/3, y-int 4/15, Horizontal…

A:

Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 1,…

A:

Q: Find the local quadratic approximation of f(x) = x³ to find the approximation of 1.03³ at xo = 1,…

A:

Q: A manufacture has been selling 1100 television sets a week at $540 each. A market survey indicates…

A:

Q: Calculate the derivative of the function. s'(x) = s(x) = 6x + 8 7x - 1

A:

Q: Which of the following functions is not differentiable on all of its domain? Select one…

A: Let fx=x2-1

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: A bacteria culture initially contains 300 cells and grows at a rate proportional to its size. After…

A:

Q: For what value of a is the following function continuous at every x? a ²x-2a, x≥2 24, x<2 f(x) =…

A:

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots at x = 0 and x =…

A:

Q: 7. The total cost in dollars of a company to produce an amount x of a certain item is given by C(x)=…

A:

Q: Which equation choice could represent the graph shown below? 8241228 20 16 10 -10-9-8-7-6-5 -4 3-2-1…

A: solution:-according to the given graph of f(x)roots of f(x) is at :x=-3,…

Q: Given: (q is number of items) Demand function: d(q) = 317.4 Supply function: s(q) = 0.4q² Find the…

A:

Q: Given the function f(x) = 5x³ − 56x² + 112x + 128, and knowing one factor is (x − 4), write f(x) a…

A:

Q: Let f(x) = 2x3/2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. Enter an…

A: Let fx=2x32, to calculate the arc length of the graph of fx over the interval 1, 3.

Q: Find the slopes of the curve 3 4 irve y4=y2-x² at the two points shown here. 1 2 √3 2 Q 57 The slope…

A:

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: Note:as students asked 11 and 12 only so i have solved this question.