Current Attempt in Progress For g(x)=x² + 3x + 2, find and simplify g(4+h)- g(4). g(4+h)-g(4) =

Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: Q.#6 Source: Stewart Ed. 8 You are given the composition r(x) = f(g(h(x))), where h(1) = 2,…

A:

Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y + 2z = 3 and 2x -y + 2z…

A:

Q: Determine the maximum curvature for the graph of f(x) = 4 In (2x)

A:

Q: y=x 2 y

A: volume is as follow.

Q: +68. Use L.T. s to solve the following D.E. d²v(t) + 5 dv(t) + 6v(1) = 40e^u(t) dt² dt v(0) = 5,…

A:

Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: Let P(1,2,3). Q(1,-1,0) and R(2,4,7). Find i. the normal vector to the plane PQR. ii. the parametric…

A:

Q: Give the first four terms of the following recursive sequence. Clearly show plug-in steps and/or a…

A:

Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

A:

Q: Estimate the area under the graph of the function f(x)=√x + 6 from x = -3 to x = 4 using a Riemann…

A: We need to find out the area under the graph of the function for the given function by using a…

Q: x + 1 X-7' (a) the average rate of change of f(x) on [x, x + h] Given the function f(x) = (b) the…

A:

Q: f(x, y) = e(x8 relative maximum relative minimum +y8)/8

A:

Q: Assume that the domain of f is the set A = {−2, −1, 0, 1, 2}. Determine the set of ordered…

A: f(x)=x2-7

Q: r(1)=2 13. y'=xy³(1+x²)-1/2, y(0) = 1

A: given  y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12dyy3=x(1+x2)-12dx

Q: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22º. How far…

A: Given: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22°.

Q: Find the relative extreme value of the function. (If an answer does not exist, enter DNE.) y6)/6…

A:

Q: Determine the values of a where the function ƒ (x) is not continuous. Label each discontinuity as…

A: To determine the values of x where the function fx is not continuous.  To label each discontinuity…

Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if…

A: We have to find the limit and graph the function.

Q: Find an antiderivative of x > 0. 9 x²–5 x4 x5 Antiderivative = in the variable x where Remember to…

A:

Q: 1. Find the volume of the solid generated by revolving the region bounded by the given lines and…

A:

Q: As the financial consultant to a classic auto dealership, you estimate that the total value (in…

A: The given data is: v=310000+990t2    t≥5p=ve-0.05t To find:  When would you advise the dealership to…

Q: For what value of x does the graph of the function f(x) = x² – 3x have a horizontal tangent line?

A: f(x)=x2-3xfor horizontal tangent line slope is zero slope is df(x)dxdxndx=nxn-1

Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A:

Q: of Əf Find and əx dy f(x,y) = √2x² + y²

A: 1) f(x,y)=sqrt(2x2+y2) 2) f(x,y)=x3-6xy+7y2.

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: Given data: The soles rote on the day 't' of the sole is 70t ⇒dctdt=70t  At t=1 none of the…

Q: Find ?w ar = − 1 ifw = (x+y+z)², x=r-s, y = cos (r+s), z = sin (r + s). - when r= 1 and s=

A: Given that w=(x+y+z)2, x=r-s, y=cos(r+s) and z=sin(r+s)   As per Bertleby Guideline I have to solve…

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(x) X→6 C What…

A: Find limit

Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

A:

Q: a. Use the Product Rule to find the derivative of the given function. b. Find the derivative by…

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the product rule for…

Q: Find the indicated partial derivative. R(s, t) = tes/t; R₂(0, 3) R₂(0, 3) =

A:

Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given: f(x)=2x2-5x with tangent line parallel to line y=7x+2

Q: The differential equation -4e* cos(y) +4² -4e* sin(y) - 8yln(x) + 5y² Has solutions of form F(x, y)…

A:

Q: Consider the following. 1 x + 6 Use the limit definition of the derivative to find the following.…

A:

Q: 2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes,…

A: To draw a graph of a function that has a horizontal asymptote at y=2 and the two vertical…

Q: the equation. 29. y' - 2y = 1²e²t

A:

Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: Use the shell method to find the volume of the solid generated by revolving the regions bounded by…

A:

Q: Find the second derivative of f(x) = 2 sin(4x). Enclose arguments of functions in parentheses. For…

A:

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

A:

Q: (b) lim x+4+ 1- x

A:

Q: Find an equation for the tangent line to the graph of the given function at (-3,4). 2 f(x)=x²-5 Find…

A: Given query is to fins the equation of the tangent.

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

A: Please see the below answer.

Q: The graph of the function f satisfies lim f(x) = 0. f(x) Note: You can click on the graph to enlarge…

A:

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: Given limit is limx→0+6sin(x)4ln(1+x)