At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a romance novel by Margó Dufón, can be approximated by n(t) = 198 + t2 − 0.12t5 copies per week t weeks since its release. (a)Find the total net sales N as a function of time t. (b)How many books are still held by customers after 6 weeks? (Round your answer to the nearest book.)   books

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: we need to find out the local maxima, local minima, absolute maxima, absolute minima and inflection…

Q: Determine the value of when 3f(x) + 4g(x) lim x→2 6ƒ(x) – g(x) lim f(x) = 2, x →2 1. limit = 5 2.…

A: We need to find limx→23f(x)+4g(x)6f(x)-g(x)  given  limx→2f(x)=2, limx→2g(x)=-6

Q: The population of a town is now 40,000 and t years from now ill be growing at a rate of 300 sqrt of…

A: Let Pt be population of town at any time t

Q: Evaluate the integral. ['w² w² In(w) dw

A:

Q: Prove that the inverse hyperbolic function can be written in terms of logarithms: cosh¹x =…

A: We have to prove that cosh-1x=lnx+x2-1 for x≥1.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: given parametric equation of line is  x = 9 t -7     and   y = -5t -1 then we have to find slope of…

Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: What is the length of the major diameter of this ellipse?

A: We need to find the length of the major diameter of the given ellipse.      13x2+2x+y2=1

Q: Let F = . Calculate the divergence of F and - - find point P where div(F) = 0. P=

A:

Q: 5x 2. lim x→+∞ In(2+ex)

A:

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

A:

Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: To solve the following problem and find critical points, maximum, minimum points.

Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

A:

Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: Q8. A mathematical equation containing the derivatives of one or more unknown functions with respect…

A: to find  a mathematical equation contauning the derivatives of one or more unknown function with…

Q: The D.E. of the cubics cy² = x²(x − a) with “a” held fixed is a. y(3x - 2a) = 2x (x -a)y' (a). c.…

A:

Q: 11 = 2 A 1 as the sum of a vectory in W and a vector z in W+. 2 and 1₂ = a -13]. b , find a, b, and…

A:

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A: We have to find the critical oint and classify it.

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the funtion…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is  where…

Q: 23. 8 n=1 (-1)n+1xn 62

A: The given series is: ∑n=1∞ (-1)n+1 xn6n

Q: ind the fun 8 f(x) = x ³₁ absolute maximum and -1≤x≤8 Select the correct choice below and, if…

A:

Q: Let f(x) = 3x + 3 and g(x) = 4x² + 2x. After simplifying, (fg)(x) = 12x2 + 6x +3 X

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 21. Expand completely: logn X y² - 9 -

A:

Q: 2 (√x² + y²) [2x − (x² + y²)]

A:

Q: he tangent line to s(t) a(t) at the point

A: We have to find the slope from the given information

Q: Solve the given LDE using the method of variation of parameters.  (D2+1)y = csc x

A:

Q: The point of intersection between these two lines 2x + y = 4 x + 3y = 7  is  ....

A: Given the equations are  2x+y = 4 ......... (1)  X+3y = 7 ...........(2) Multiply the equation (2) *…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A:

Q: (b) Parametric equations: Rectangular equation: Parametric equations: y=2 sint X || y= 0 11/13x + 4…

A: Ques (a) Rectangular equation: x2+y2=4x2+2sint2=4x2=4-4sin2tx2=41-sin2tx=41-sin2tx=4(cos2tx=2cos(t)…

Q: A tank originally contains 100 gallons of fresh water. Then water containing 0.25 lbs of salt per…

A:

Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: - [P] = [In(1+1²)] dt = IP xp J (e) (d)

A:

Q: Find a) any critical values and b) any relative extrema. f(x)=x²-6x+5

A:

Q: Sketch the region enclosed by y = 2x and y = 9x². Find the area of the regio Question Help: Video…

A:

Q: Find the value of lim x →0 if the limit exists. 1. limit does not exist 2. limit 3. limit 4. limit…

A: if we put x=0 it is 00  form there for use l'hospital rule limx→0(2x+1)2-16x=limx→0∂…

Q: 0 1 Find an orthogonal basis for the space spanned by 0 X 2 0 2 0 , and -4 2 -6 -4

A:

Q: Question Using Desmos, plot the point -1, 5TT 3 in the polar plane.

A:

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

A:

Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

A:

Q: Solve the differential equation. FD dy dx 3e * y = 2, x > 0

A:

Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

A:

Q: (₂) Using the u-substitution, u = x + 3, identify f such that the integral help (formulas) ¹ [ f(u)…

A: Given integral  is ∫ xx+3   dx

Q: 6.) so +3 dx 2xe+²+

A:

Q: зе 4x

A: Given f(x)= 3e4x So, Df(x)= 12e4x=4f(x)

Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: and the future value P of the amount Po= $200,000 invested for time period t= 5 years at interest…

A: Continuous Compounding Formula: P = P0·ek·t where P = Accumulated Amount P0 = Principal Amount k =…

Q: If csc(x)=8, for 90∘<x<180, then sin(x/2)=___ cos(x/2)=___ tan(x/2)=_

A: SOLUTION-

Q: If f(x) = [² cos(t)dt then f'(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…