Find the absolute minimum values of f on the given interval. (Round your answers to two decimal places.) f(x) = ln(x2 + x + 6) [-1, 1]

Q: 49. Double declining balance depreciation. An office machine is purchased for $5200. Assume that its...

A: Given problem:- Double declining balance depreciation. An office machine is purchased for $5200. Ass...

Q: The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is ...

A: Given: drdt=3 msdVdt=1542 m3s We have to find dhdt when r=5 m and V=912 m3. Now,     V=πr2h⇒Vπr2=h⇒h...

Q: 3 3 If / f(x) dx = 14 and f(x) dx = 12, 2 then find f(x) dx. Select one: А. 2 ОВ. 22 О С. 6 D. 8 E. ...

A: Given; integration of f(x) limit from 1 to 3 equal to 14 and integration of f(x) limit from 2 to 3 e...

Q: 57. Minimizing cost of materials. The cost C, in dollars, to build a fence around a rectangular fiel...

A:

Q: 4. [csch(x)] = -csch(x) coth (x) dx

A: we know thatdifferentiation of cosh(x) is sinh(x) and vice- versa

Q: Using the ε − N definition of a limit, prove that  lim n→∞  (6n^3 −2n+1)/(2n^3 + 1) =3.

A: Given the limit function for provinglimn→∞6n3−2n+12n3+1=3

Q: a) Determine the dimensions of a rectangular tank, without a top, with minimum surface and a fixed v...

A:

Q: For a particular commodity, the demand function is q 300 - 15р. a. Find e when p = 10. Preview b. Is...

A:

Q: 4-4e" Evaluate lim,→0 3x+x15 4 15 - 4 15 4 3 -

A:

Q: The region between the curve y = Vxe- and the x-axis for0 <r<∞ is rotated about the r-axis to create...

A:

Q: y +2xy =x+y

A:

Q: Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a ...

A: I am attaching image so that you understand each and every step.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: 2х-4 . lim e x+1 -22х-5 n--00

A: Topic:- limit calculation

Q: Match the following integration expression on the left with an appropriate form of its Antiderivativ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: If S f«)dx = 8 and g(x)dx = -2, which of the following cannot be determined from %3D the information...

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: 5. T'he surface of a pice of bubble wrap is given by the function f(r, y) = cos(r) sin(3). In which ...

A: Given: The surface of the bubble wrap:fx,y = cosxsiny--------------------------------To find: The ve...

Q: A manager of a store that sells and Installs spas wants to prepare a forecast for January, February,...

A:

Q: Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s)...

A: i) The points of discontinuities are x= 0 x= 2 x= 5

Q: In(5+ x) + C In(5 + x²) + C Question 4 Match the integral expression on the left with its appropriat...

A:

Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable ...

A:

Q: A thin metal plate is shaped like a semicircle of radius 4 in the right half-plane, centered at the ...

A:

Q: Determine the following limits using the table of values 1. lim 1. X→ー-1 X+1 2. lim - x-0 2x2 3. lim...

A:

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)  

Q: Use the definition of a derivative to find f ′ (x). f (x) = 5x − x2

A:  

Q: Determine whether the alternating series converges. k + 1 E(- 1)k+1, k=1 5k + 1 O The series diverge...

A:

Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 4. lim...

A: Let f(x) be a given function. If f(a) is defined and f(a)=L, a finite real number. Then, limx→af(x)=...

Q: For the following functions y = f (x), find f ′ (a). f (x) = x2 + 9x,            a = 2

A:

Q: ꭓ3 −3ꭓ2 + ꭓ = −2 i) Form a cubic equation utilizing the above and create the function f(x). ii)...

A:

Q: Vn? +4 6n? –n -1

A: A detailed solution is given below

Q: Given w = xysin( z²), x = s-t, y= s2, z = t². Use the Chain Rule to find 2.

A:

Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

A:

Q: 3) In a spring mass system the displacement, x meters, of an object from its equilibrium position wi...

A: Reupload 2nd question as per bartleby guidelines

Q: 12000 For a particular commodity, the demand function is q = 3 a. Find ɛ when p = 8. E = Preview b. ...

A:

Q: Consider u(y) = |y – 2| – 2 on 0 < y < 4. Absolute Maximum value at y = Absolute Minimum value at y ...

A:

Q: S" (2x + 1)ea(x+x)dx, b > 0, a is a constant

A:

Q: The solution of the integral is always positive number. Select one: O True O False

A: Given statement- The solution of the integral is always positive.   Integral:- solution of integral ...

Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A:

Q: Consider the function f : (0, 00) → R (that is, real-valued with domain (0, o0)) given by f(x) = - 5...

A:

Q: Consider the function w(t) = 10t4 – 20t2 + 30 on -2 <t < 3. Absolute Maximum value at t Absolute Min...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: a) f(x) is a polynomial function. If f'(x) has a degree of 7, what is the degree of f(x)? b) Write a...

A:

Q: Evaluate limr→∞ -8x³+10x 7x-x2 2 8.

A:

Q: Which of the following are appropriate units of measure for measuring the arc subtended by an angle'...

A: Solution is given below:

Q: If f satifies f'(x) = x + x · f(x) and f(0) = 3, determine f. Note: f'(x) = y' f(x) :

A:

Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform ...

Q: 3. x² sin* () dx, x² sin2 () dx, n, n, a is a constant

A:

Q: x²dx 5+ x2

A: