3) The manufacturer of standard size Norman windows estimates that he can sell 5,000 units a year at PhP 900.00 each and that he can sell 1,200 units more per year for each PhP 100.00 decrease in price. What price per unit will give the greatest returns?

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

A:

Q: Kelly received a $39,650 loan from a bank that was charging interest at 4.50% compounded semi-annual...

A: Given : Principal Amount (P) = $39,650 Interest Rate (r) = 4.50 % = 0.045 Compounded Semi - Annually...

Q: n+ In(3) Then the limit lim a = - 00 Given the sequence

A:

Q: Find the nth Maclaurin polynomial for the function. 5x - 1 f(x) = n = 4 %3D x + 1 19 Pa(X) = %3D Nee...

A:

Q: If g(t) = 2r +9t2-7 find. %3D g(0) = -7 g'(0) = -7 g" (0) = g"(0) = %3D g(4) (0) = g(5)(0) =

A:

Q: y =2(2x+5) complete the below for x =-1/2,-1/5,0,1,2

A:

Q: ²+2x 5. Sketch the curve: y? x-1

A: The graph of the given function is plotted below.

Q: A community bird-watching society makes and sells simple bird feeders to raise money for its conserv...

A: We first find equation for profit.

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an...

Q: How much money should Bryan invest today into a fund that earns interest at 5.75% compounded quarter...

A:

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

A:

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

A:

Q: Calculate the limit. lim (-1)"n? (Give an exact answer Use symbolic nototi

A:

Q: Answer this question by showing all work and formulas used to solve: Determine the equation of the t...

A:

Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1 1) First apply the Rati...

A:

Q: Find the radius of convergence of the power series. 00 E(-1)"n+ 9 n = 0

A:

Q: A 2005 study by the Fisheries Research Services in Aberdeen, Scotland, suggests that the average len...

A:

Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

A:

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: Express the following as a vector valued function 7 (t). 1. The line L defined by y+3=3x and z+1 =0 ...

A: We will express the line L defined by y+3=3x and z+1=0 hyperbola -x2-2x+2y2+4y=-2 as a vector valued...

Q: 7. Determine f (x) so that | cos(In°x) f (x) dx = sin(In²x) + C 2 In x In x (а) 2 In x (c) - (d)?

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We need to find the Taylor series of f(x) centered at c : f(x)=e8x     and    c=0

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

A: Given function f(x)=eaxseries is given as p0(x)=f(0)p1(x)=f(0)+xf'(0)p2(x)=f(0)+xf'(0)+x22!f''(0)p3(...

Q: Evaluate the integral 4x-12x²+7 xdx A(2x2-3)/4x – 12x² +7 – 2ln/2x² -3+/4x – 12x² +7|}+o (2x2-3W4X-1...

A:

Q: Consider the following approximations for a function f(x, y) centered at (0, 0). Linear approximatio...

A:

Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx Show complete solu...

A:

Q: Given the matrix below, determine the following:  a. Cofactor of the element 5 b. Cofactor of eleme...

A:

Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one roo...

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = t - 9t + 6...

A:

Q: Find the radius of convergence and the interval of convergence. El-1)«(# + 2)2*+1 k2 + 4 A=1 Radius ...

A: Given series ∑k=1∞(-1)k(x+2)2k+1k2+4 want to find radius of convergence and interval of convergence 

Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x) -1*+1. 11 · k = 1

A:

Q: Answer this question by showing all work and formulas used to solve: Differentiate and simplify. 3 y...

A:

Q: Calculate the limit. lim n→0 /n2 + 15 (Give an exact answer. Use symbolic notation and fractions whe...

A:

Q: 5x2 tan(x) Find the following: Let f(x) = sec(x) 1. p' (x)= 2. pr (2)=

A:

Q: Assume that the domain of f is the set A = {–5, –2, 0, 2, 3}. Determine the set of ordered pairs tha...

A:

Q: Q3) Find the Lagrange polynomial that fits the following set of four poin value of y at x-0: Ans. y=...

A: Given: - The set of four points, x -2 3 1 7 y 5 7 11 34 To find: - The Lagrange polynomial t...

Q: Select the correct graph of the given function. f(x)= 2.7x- 5.5

A:

Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x) Σ

A:

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the point...

A: First I have written the rule of minimum rate of change of a function at given point and then find t...

Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. = . ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) In(x), n = 4, c = 3 PĄ(x)

A:

Q: Find the derivative of the function. X-1

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 P (X) –

A: Taylor polynomial of 4th order of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x...

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: olve the differential equation with appropriate method. Simplify final answer ree of fractions and l...

A: We will solve the differential equation

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

A: Question: suppose a sample of certain substance decay to 73.6% of its original amount after 300 days...

Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows: