Express your answer as a polynomial in standard form. f(x) = 2x² - 4x - 6 g(x) = 2x + 7 Find: f(g(x)) Answer Attempt 1 out of 2 B

Q: Find the area under the given curve over the indicated interval. y = 4x; x =1 to x = 3

A: y=4x, x=1 to x=3

Q: Find the gradient field of the function, f(x,y,z) = (3x² + 2y² + z²) −1/².

A: According to Bartleby Guidelines, we can solve only first question from multiple question, please…

Q: What is the derivative of f(x) = −‡x³ a at the point x = 3? Type an exact answer.

A: f(x)=−43x23 at the point x=3Using the power Ruleddxxn=nxn−1

Q: Find the combined area of the two regions bounded by the curves f(x)=e*-1 and g(x)=x²e¹-x² shown in…

A: Region is bounded by the curves f(x)=ex−1 and g(x)=x2e1−x3Solving for inter section…

Q: area under the curve ƒ(x) = x² + 2x + 6 from æ : Use the Method of Midpoint Rectangles (do NOT use…

A: The given function .The aim is to find the area under the curve using the midpoint rectangles in the…

Q: f(x) = x² Which of the following is the linear approximation of f(x) at the point a=16? O O O 3…

A: f(x)=x3/8, a=16

Q: Find the derivative of the function. (37) 2 S = sin 3nt 2 - COS

A: Given,

Q: Question For which value(s) of x does f (x) = 16x³ - 4x² + 6x - 13 have a tangent line of slope 5?…

A:

Q: Write an equation for the rational function graphed below. The vertial asymptotes are shown as…

A:

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

A:

Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: The given set is the set of points in space whose coordinates satisfy the pair of equations .The aim…

Q: Let R be the region bounded by the graphs of IT y=2sinx and y = 2cosx fromx = 0 to x = . Which of…

A: Given that the region is bounded by the curves  from

Q: (b) f(x) = 1 1- x' 3 a = 2

A: Given that the function

Q: Given the following limit Select all that apply Olim f(x) exists. which of the following must be…

A:

Q: Find local extrema f(x) = 4 of the function, if any. x6 - 6x² A. There is no local extremum. B. f(0)…

A:

Q: Sketch the curve with the polar equation r = 2 + 2 cos(0). What is the name for the shape of the…

A: Given that the polar equation

Q: Suppose the equation 1 40 y = 22 models the height of an arrow where is the horizontal distance in…

A:

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. 14 In (x¹4…

A:

Q: Find the domain of the following function. √√x-5 X+2 G(x) =

A:

Q: an open box is made by taking an 8cm by 10cm sheet of cardboard and cuttign square corners whose…

A:

Q: Let S be the solid that lies between the paraboloid z = x² + y² and the sphere x² + y² +z² = 2. (a)…

A: Given that  S is the solid that lies between the paraboloid and the sphere The graph of solid

Q: The air in a room with volume 100 cubic meters initially contains .2% carbon dioxide. Fresher air…

A: The air in a room with a volume of 100 m3Initially contains 2% carbon dioxideFresher air containing…

Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

A:

Q: (iii) Find f f(x) dx if f(x) = 3 X for x 3.

A: Information provided is as follows

Q: Let F(x, y) = x³ + y³ − 3x − 12y + 20. Find the critical points of H and classify the kind of local…

A: The given function is .

Q: A particular commodity has a price-supply equation given by p= 368(1.039), where x is the numbers of…

A:

Q: Please calculate whether this function is also differentiable, as well as continuous. Thanks.

A: Continuity at x=a:Differentiability at x=a:

Q: A particular commodity has a price-demand equation given by p=√14,061 418x, where x is the amount in…

A: The price demand equation is given by  where x is the amount in pounds of the commodity demanded

Q: Question 18 ▼ = Starting with an initial population of P(0) = 19, the population of a pride of…

A:

Q: Find the exact area between y = x² and y = x for x > 0.

A: Region bounded by the curves y=x2 and y=x for x≥0.

Q: Using n = 4 equal-width subintervals, approximate the area of the region bounded by the graph of,…

A:

Q: Select the graph for which f(x) > 0 and a) r f(x) < 0

A:

Q: Select the graph for which a) ƒ¹(x) > 0 and f11(x) > 0

A: It is given that, the f'(x)&gt;0 Which means the function f(x) is increasing.Therefore Graph-a is…

Q: Find the Taylor Series for f(x)=x²³+x²+x+1 about a=1

A: The given function is The Taylor series for f(x) about

Q: Rewrite the integral using spherical coordinates, where solid E is between the sphere of radius 1…

A: Given integral,Solid E is between the sphere of radius 1 centered at the origin on the top and the…

Q: (i) Find the derivative of the function. esin x COS X In(1+2v) dv.

A: To find the derivative of the following function.

Q: Sketch the slope field and sketch two solutions for the differential equation. (a)

A: Since you have posted multiple questions in a single request, we will solve first question for you.…

Q: Considering the definition of f(x) below, find lim f(x). x-*6 Select the correct answer below: O -56…

A:

Q: 1) Find 1 x² +4x+13 dx.

A:

Q: Find the domain of the function. 5x x²-4 X g(x) =

A:

Q: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

A: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

Q: -10-9-8- -1⁰+ Given the graph of f(x) shown above, evaluate lim f(x). Select the correct answer…

A: The condition of the existence of limit at

Q: The function below is discontinuous at which of the following values? Select all correct answers.…

A:

Q: Suppose the height of this motorbike's jump is given by h = -16t² +32.1t+5.7 where h is the height…

A:

Q: 5. Use a triple integral to find the volume of the solid in the first octant bounded by the plane 2x…

A: Solid in the first octant bounded by the plane 2x+3y+6z=12 and the coordinate…

Q: 7 The rate of change of a population with emigration is given by P'(t) = 300 population in millions,…

A:

Q: find the intervals where the graph of fis concave upward, the intervals where the graph of fis…

A: Firstly find inflection point (f"(x)=0).Concave upward: f"(x)&gt;0.Concave downward: f"(x)&lt;0.

Q: For f(x) = Evaluate the following expression. Select the correct answer below: 01 04 02 O The limit…

A:

Q: Let R be the region in the first quadrant bounded by the lines y = hyperbolas xy = 1, xy = 2. (a)…

A: Given that let R be the region in the first quadrant bounded by the lines  and  and the hyperbolas

Q: Find the center and the radius of the sphere. +z-3x+6z=0 x +y +z

A: The given equation of sphere is:To find the center and the radius of the sphere.