2t – 1 Use the function g(x) : to answer the following questions. Fill in the blanks. Round your answers to two decimal places. lim g(x) = %3D lim g(x) = lim g(x) %3D

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that...

A: Given: The coordinates of all points x,y that lie on the line whose equation is 2x+y=8, so that the ...

Q: Fill in the blank/s: The slope-intercept form of the equation of a line is___________, where m repre...

A: We have to  Fill the blank/s: The slope-intercept form of the equation of a line is___________, wher...

Q: Calculating limits Determine the following limits. 1 1 and lim lim rS-0 2 + e rS* 2 + e

A: a) limr→-∞12+er=limr→-∞1limr→-∞2+er=1limr→-∞2+er                           =limr→-∞2+er-1           ...

Q: Find the lengths of the curves. If you have graphingsoftware, you may want to graph these curves to ...

A: Given function - x = y36 + 12yx = y12 + 12y-1                 ............................(1)Differe...

Q: Let                        gn(x)=nx + x2/ 2n, and set g(x) = lim gn(x). Show that g is differentiabl...

A:                                     Given: gn(x)=nx+x22n   and  setting  limn→∞ gn(x)=g(x)Now,    g(...

Q: Help to find the derivative of f(x)=1/4x. ?

A: given f(x)=14xwe have to find the derivative of given f(x)

Q: Determine whether the statement is true or false. If the statement is false, make the necessary chan...

A: Given: A matrix row operation such as -45R1 + R2  is not permitted because of the negative fraction....

Q: Q2/ fincd lachre trans form for at X- 3x+2X=lee

A: given equationx"-3x'+2x=1-e2tby assuming that initial condition is zero.x"=s2X(s)and x'=sX(s)and lap...

Q: I can solve 4x = 15 by writing the equation in logarithmic form.Determine whether the statement make...

A: The given statement is correct.  Reason: The exponential equation 4x=15 can be solved by converting ...

Q: Three intersecting planes Describe the set of all points (if any) at which all three planes x + 3z =...

A: Consider the planes, The objective is to describe the set of all points at which all above three pl...

Q: Find f(x)

A: We will apply Leibnitz theorem to solve it 

Q: Find the derivative of the function y = sech−1 (sin x)

A: Given function - y = sech-1sinxDifferetiating on both sides with respect to x - dydx = ddxsech-1sinx...

Q: Create a table of values for the function and use the result to determine whether f (x) approaches ∞...

A: If you plug in -3 to the function directly you will get an undefined result, therefore we can constr...

Q: Write the system of linear equations represented by the augmented matrix. Use x, y, and z, or, if ne...

A: Given:         Use  w, x, y, and z, for the variables.

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v . w and v . v.

A: Consider the given vectors v and w. First calculate the dot product for v and w. v=−8i−3jw=−10i−5jv⋅...

Q: Find the derivative the following ways:a. Using the Product Rule  or the Quotient Rule. Simplify you...

A: Given equation - f(w) = w3-ww                           .............................(1)Differentiat...

Q: At what points (x, y) in the plane are the functions continuous? ƒ(x, y) = (x + y)/(x - y)

A: Continuity: Given function is : f(x,y)=x+yx-y The function f(x,y) is defined on S={(x,y)∈R:x,y>0}...

Q: A cube of 5 cm is painted on all its faces .If it is sliced into 1 cubic centimetre cubes , how many...

A:

Q: Volumes in cylindrical coordinates Use cylindrical coordinatesto find the volume of the following so...

A:                                    Given: Solid bounded by the plane z=5        ........(1)and the p...

Q: Explain why or why not Determine whether the following state- ments are true and give an explanation...

A: Given the statements : a) The variable y=t+1 doubles in value whenever t increases by 1 unit. b) The...

Q: Find a polar equation for the ellipse with the following characteristics. Focus: (0, 0) Eccentricity...

A: To find A polar equation for the ellipse with the following characteristics. Focus: (0, 0) Eccentric...

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation ...

A: we have to find an equation in cylindrical coordinates for the surface represented by the rectangula...

Q: If f(x) = x2 + 8 and g(x) = x2 - 6, find (g ∘ f)(2). a 62 b 138 c 12 d 48

A: Given, f(x) = x2 + 8  g(x) = x2 - 6  (g ∘ f)(2)=?  

Q: Consider a fuel distribution center located at the origin of the rectangular coordinate system (unit...

A: Given: The sum of the perpendicular feeder lines from the the trunk line is given as, S3=4m-1m2+1+5m...

Q: If f(x) = x-9/ 6  and g(x) = 6x + 9, find (g ∘ f)(x). a 6x + 45 b x c x + 18 ...

A:

Q: Find the area of the following regions.The region bounded by the graph of ƒ(x) = x sin x2 and thex-a...

A: To Find  The region bounded by the graph of ƒ(x) = x sin x2 and thex-axis between x = 0 and x = √∏

Q: Graph the equation f(x) =(x2 - x - 6)/(x + 1), function, or inequality in a rectangular coordinate s...

A:

Q: Evaluate the limit of the sequence or state that it does not exist. an = ((2n + 2)!)/((2n)! n2)

A: Consider the given nth term of the sequence, an=2n+2!2n! ·n2 Since, 2n+2!=2n+2· 2n+1· 2n! Then, an=2...

Q: Solve the equation, inequality, or system of equations.

A:

Q: Evaluate or simplify the following expression without using a calculator. sin-1 1-12

A: sin-1-1

Q: 7. A conical pile is formed by pouring sand at a rate of 30 cm/s. When its base diameter and altitud...

A:

Q: An isosceles triangle has a perimeter of 8 cm. Find a function that models its area A in terms of th...

A: given that an isosceles triangle has a perimeter of 8 cm.

Q: Find the general solution analytically: (dy/dx) = 4 - y

A: Given data: The given differential equation is (dy/dx)=4-y. The given differential equation can be w...

Q: A conservation organization releases 25 Florida panthers into a game preserve. After 2 years, there ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 3t + 26t + 100....

A: The given equation: p(t) = 3t2+26t+100   Find: Growth rate after 3 hours.

Q: Write the augmented matrix for the system of linear equations:

A: Augmented matrix of system of linear equation a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 is a1b1c1:d...

Q: Solve the equation √(x2 - 3x) = 2x -6, inequality, or system of equations.

A:

Q: Evaluate each definite integral.

A: Given: The integrals  a. ∫sinx dx b. ∫30x+2dx To evaluate: The given integrals.

Q: The figure shows the graphs of the cost and revenue functions for a company that manufactures and se...

A: Given that, The Cost Function is: C(x) = 10,000 + 30x The Revenue Function is: R(x) = 50x

Q: Hi may I ask How to do this question step by step? and if i was supposed to find the minimum cost of...

A: Given: The cost of material for the bottom of the box is $5/ft2. The cost of material for the side i...

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.