Determine f + g, f − g, f · g, f/g, and give the domain of each  f(x)=x^2−1,g(x)=x+1/x.

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

A:

Q: If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: Area of circle, A=πr2 where r is the radius

Q: Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y - 1)² + 4 (a) Draw the…

A: We can draw level curves.

Q: Simplify completely. Assume the variables represent positive values. 9√175x³ 4x√28x

A:

Q: Asap

A: Let's evaluate limits.

Q: To find the length of one turn of the helix given by r(t) = b (cos) ti + b(sin)j + sqrt(1-b^2) k, t…

A:

Q: Determine if the following series converges or diverges using the integral test. Select the correct…

A:

Q: The graph of fis shown below. On what interval is f' an increasing function? 2 Select one: a. (2, ∞)…

A: The graph of the function fx is To evaluate: The interval on which f'x is increasing.

Q: dy If −5x² + y² = 5 then find at the point (2,-5) in simplest form. dx²

A: Given the equation: -5x^2+y^2=5

Q: Consider the following. Find f'(x). f'(x) Find F"(x). F"(x) = X = 14 f(x) = ²x² + x³ - Find the…

A:

Q: Question 8 B 15 3 2 I The table above gives values of the differentiable functions f and g and their…

A: Given problem:- x f(x)  f'(x)  g(x)  g'(x)  0 4 1/2 -2 3/2

Q: Leveled Practice What is the graph of the equation y = 2x + 4? 0 ). Plot this point. The y-intercept…

A: giveny=2x+4

Q: Use partial fractions to evaluate the integral. 2x²-1 (4x-1)(x² +1) dx

A: see below the answer and calculation

Q: What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0%…

A: Given query is to find the amount after 8 years when compounding continuously.

Q: Simplify completely. Assume the variables represent positive values. √6x²y-√√/36xy²

A: Simplify the expression completely

Q: Suppose that the dollar cost of producing x appliances is c(x) = 1500 + 110x -0.2x². a. Find the…

A: NOTE: Refresh your page if you can't see any equations. . the average cost function is given by

Q: Models yerHomework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7 VRF atic Models Farmer…

A: Topic- Application of derivatives We are given, Length of fencing available=8000 meters

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 5 and ƒ(π/2) = 9 find: ƒ'(x) ƒ(x) = = ||

A: f ''x=cosx

Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

A:

Q: 10. Refer to the figure and find the volume generated by rotating the given region about the…

A:

Q: 11. find y₁, Y = √3x +3

A:

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A:

Q: 1. Use transformations to sketch a graph of the function below. Draw each transformation separately,…

A:

Q: Find an equation of the tangent plane to the surface at the given point. xy² + 3x - z² = 4, (5, -1,…

A:

Q: Determine the cylinder's absolute max and absolute min given the function f(x, y) = 3x² + 2y² - 4y;…

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.…

A: Solve the integration by using the substitution formula

Q: y=arctan√x can you explain how to derive this?

A:

Q: 11. Refer to the figure and find the volume generated by rotating the given region about the…

A:

Q: dy dx y = 3 log 6X Find dy dx || (Simplify your answe

A: See this solution in below

Q: Differentiate the following function. f(x)=-9-3x+7 ex f'(x) =

A:

Q: Let r(t) = = (t4, 18) g(t) = sin(71) Evaluate the derivative using the Chain Rule. (Use symbolic…

A:

Q: Use Chain Rule to find f''(2) where f(x)=e^x^4+x^2-12 and y=f(x).

A:

Q: I. Which of the following representations below is a function? Select all possible answers. Copy the…

A:

Q: Use the indicated x-values on the graph of y = f(x) to find the following. y پیلے X = a b d x Find…

A: We have to find point of inflection from given figure.

Q: Find the derivative of each of the following functions: (image 1)

A:

Q: 1. Find the directional derivative of f(x, y, z) = x² + 2y² -32² at the point Po(2,-1,1) in the…

A: As per the company rules, we are supposed to answer only first question and rest can be reposted.

Q: Question дz Find for z = e9ry dy Provide your answer below: Ple Əy

A:

Q: Use the indicated x-values on the graph of y = f(x) to find the following. m 9 с fgh X Find…

A:

Q: aluate the definite integral given below. ter an exact answer. л/4 1.24 (3 sin (x) - 2 cos (x)) dx

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

Q: 1. Find the derivative 4 ln 2) ³ 3x³ sin(2x) 5x2+3

A:

Q: Find f'(x). f(x) = 6x² - 4 ex f'(x) = (Type an exact answer in terms of e.)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Find dy/dx by implicit differentiation when x^2=3x+4y/3x−4y dy/dx=

A: To implicitly differentiate given function.

Q: If xy + 3x = -3 then find at the d²y dx² point (1,-6) in simplest form.

A: Given query is to find indicated derivative.

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x lnx where the tangent line is…

A: Part_a_ Determine the coordinates of all point(s) on the graph of y=2xlnx where the tangent line is…

Q: Find the volume V of the described solid S. The base of S is the triangular region with vertices…

A:

Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

A: The distance travelled by an aircraft along a runway is given by D = 59t2 The speed at which…

Q: First find f' and then find f. f"(x) = 4x (9x³ + x²) + 10, − f'(1) = 5, f(1) = -8. f'(x) = f(x) = J…

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…