A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates that for each $18 rebate offered to a buyer, the number of sets sold will increase by 180 per week. i. Find the demand function p(x), where is the number of the television sets sold per week. p(x) = ii. How large rebate should the company offer to a buyer, in order to maximize its revenue? $ iii. If the weekly cost function is 108000 + 160x, how should it set the size of the rebate to maximize its profit? $

Q: /3 sin -' X- tan 3 4 II

A: This is the problem of real-valued function, inverse trigonometric equations.

Q: Solve the homogeneous DE 3xy dx + (x^2 + y^2) dy = 0.

A: We will take the substitution y=vx, to convert it into separable variable form.

Q: Find the area of a square with a side length of 3a?b inches

A: Given, side length of a square = 3a2b inches

Q: D. 13 mm 15 mm 74 59 12 mm

A: Introduction: The formula for the law of sine is given by, sinAa=sinBb=sinCc Where A,B,C are angle o...

Q: A contract calls for a payment of P 1,200 at the beginning of each month for 12 months. At what rate...

A: We will use basic knowledge of the compound interest formula to answer this question. 

Q: Which of the following function does not have a Mclaurin Series O In(2+) cot z sin r Cos +1 O 22 sin...

A:

Q: 4.6 EXERCISES In Problems 1-8, find a general solution to the differential equation using the method...

A:

Q: curves in Exercises 1-8 about the x-axis. erated by revolving the regions bounded by the lines and U...

A: Introduction: When a two dimensional curve is rotated around the coordinate axes of a line, a solid ...

Q: Sedans SUVS Assemble 15 labor-hours 20 labor-hours Paint 2 labor-hours 1 labor-hours Profit $90 $115...

A: Given that Each day, 500 labor-hours available to assemble and 4- labor-hours to paint. Let the man...

Q: rest from the right vise with an accelera mains constant. Fin

A: The acceleration (a) of the particle is 0.25 m/s2. The body accelerates from rest until a time of 4 ...

Q: Determine whether the series is convergent or diver gent by applying either the comparison test or t...

A: 2.) Given series is ∑n = 1∞1nn As n > 2    for all n≥3nn > 2n   ⇒ 1nn < 12n ⇒  ∑n = 1∞ 1nn ...

Q: At what point of the curve y = x* is the normal line parallel to 2x + y = 3? 2 16 ㅇ (, ) (뚜 든) 이 o (...

A: To find  The point of the curve y=x^4 is the normal line parallel to 2x+y=3.

Q: Show that the substitution 1- x a = -1, b = l+ 1, c = 1 2 converts the hypergeometric equation into ...

A:

Q: 9. Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and tha...

A: 9. The formula for the volume of a regular prism is given as follows:  

Q: 1. African Penguins are about % the height of Emperor Penguins. If Emperor Penguins are about 36 inc...

A: Here we suppose to do multiply 2/3 with height of emperor penguins

Q: 8. Graph the following rational function. Show ALL steps CLEARLY. (C_ _R 2х — 4 f(x) = x+ 3 b. State...

A: The function in the form a0xn+a1xn-1···+an is called an algebraic function. The function in the form...

Q: One of the popular 3-point numerical differentiation formula is given by -3f(xo)+ 4f(0 +h) - f(xo+ 2...

A:

Q: y (t) = cos(t) y (t) = cos(y(t)) (1) (2) 1. We first consider ODE (1). Determine on a graph the regi...

A:

Q: cos

A:

Q: - Error andQ- Functions 1, Use the definition of error function, prove that

A:

Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

Q: at x* + y* – x2 X

A:

Q: 2. Sketch the region Renclosed by the triangle with vertices (1, 0), (2,1) and (1,1) and find the vo...

A: 2) given points 1,0 , 2,1 , 1,1 find the volume of the solid generated by revolving R about the y-ax...

Q: Consider the equilibrium O of the continuous-time system given by å = Ax,where A E R²×". Which of th...

A: This is a problem of the Dynamical system, a system of the differential equations.

Q: Σ (-1)" Vn Inn Σ 1-n0.5 2n0.5+1

A:

Q: tan(z1) 0.9947 + 0.1462i 0.0364 1.0047i

A: The definition of tangent function for complex number is tanz=e2iz-1i(e2iz+1). Use 4-2i for z1 and t...

Q: You are assigned by your group leader for the gathering of important data for your project in Mathem...

A: Let at any time angle of elevation = θ0 and shadow length is x ft.

Q: 1 Exercise 1 Ve consider the differential equations (t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We firs...

A: We will use the basic knowledge of ordinary differential equations to answer this question. Note tha...

Q: Consider the equation 2x - 1 = 2 on the interval [1, 2]. 1 +1 will converge to a 2pn-1 Show that the...

A:

Q: 2. It is desired to obtain the real-valued roots of S(2) = 0, f(z)= (x*. 8. - 6z - 5z2 + 6r - 4VT+10...

A: We will use basic knowledge of set theory and real-valued functions to answer the first two subparts...

Q: Express (2.ry+ 2x - 1) – i (x2 – y? – 2y) as polynomial in the binomial argument z = r+ iy. O -iz? +...

A: Solution

Q: In how many ways be keo arrangedn ciscle? O that 15 cars many ways 15 of 20 cars a 9. can be soladou...

A:

Q: ear transformation from R4 to R5 and let T(e1) = -3 3 19 -5 |-5 and T(e4) : 2 %3| 21 10 -2 -7 3 8 =f...

A:

Q: Write the equation for the polynomial function of lowest possible degree for the given graph 3. -2

A:

Q: es a

A: 1) a) 2-3i13 Here z=2-3i r=zr=9+4r=13 θ=arg(z)=-tan-1 32z13  =reiθ13z13  =reiθ3z13  =rcosθ3+isinθ31 ...

Q: Consider the following table of values of f(r) = e". 0.0 0.2 0.6 (2) 1.0 1.22140 1.82212 (a) Approxi...

A: The complete solutions are given below  

Q: Ingrid wants to buy a $20,000 car in 5 years. How much money must she deposit at the end of each qua...

A:

Q: E the integral || X = 0, x =

A:

Q: The graph of an exponential func

A: Given,        

Q: Corollary. Every infinite set contains a proper subset to which it is similar. Proof. Let A be an in...

A: Basically, you are asking to show that the function  f:A→A-{a1}  defined as      f(x)=an+1 if x=an (...

Q: Please

A:

Q: 1 +1 will converge to a 2pn-1 a) Show that the fixed point iteration of the forın Pn = unique fixed ...

A:

Q: 1. You have two vests, three hats and 14 buttons. How many outfits can you make if each outfit has a...

A:

Q: 1 49 + 2 = z

A: The value of  z depends on q, therefore it can not be independent variable 

Q: 3. Find the first three non-zero terms in the Taylor series for J (x) = et cos about x

A: To find the three non-zero terms in the Taylor series for f(x)=excosx about x=0    

Q: -4; -7; -10; -13; 1.2.1. Write down the next two terms 1.2.2. Describe the pattern you notice 1.2.3....

A: the given sequence is  -4,-7,-10,-13,... 1. the next two terms will be -16,-19 2. Each term is obtai...

Q: -Consider the problem of approximating the value of V3 as a root of f(x) = x² – 3. (a) Calculate an ...

A:

Q: Using the Binomial Theorem, show that n n n2"-1 k=0

A: Given: Let us determine the given, ∑k=0nknk=n2n-1using the binomial theorem.

Q: Consider the Sturm-Liouville problem y" + (1+ X)y = 0, A2-1. (1) y(0) = 0, y(1) = 0 (a) Is A = -1 an...

A:

Q: 4. Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f (x) 1.0 1.22140 1.82212 (a) Ap...

A: The given problem is to find the value of f(0.5) from the table of functional values of function f(x...