6. A company manufactures and sells x headphone per day. If the cost and revenue equations are: C(x)= 7,000 - 2x and R(x) = 10x -0.001x². 0≤x≤ 10,000 a) Use the differentials to approximate change in revenue if production increase from 2000 to 2010 per day? b) Use the differentials to approximate change in profit if production increase from 2000 to 2010 per day? c) Use part (a) and (b) to approximate change in cost if production increase from 2000 to 2010 per day

Q: c) g(t) = = 5t² 3 3 214

A:

Q: A computer manufacturer has a profit function given by p(x)=80xe^-0.002x dollars, where x the number…

A:

Q: Solve the initial value problems. 15. dy dx 3ex, y = 6 when x = dy =4e-3x, y = 2 when x 4y, y = 3…

A:

Q: Find the exact solution for e If there is no solution, enter NA. Enclose arguments of functions in…

A: Given e2x-5ex-66=0 The objective is to find the exact solution.

Q: We are trying to prove the following limit. Once we have specified & in terms of &, one of the steps…

A: From ε-δ definition of limit we know that, limx→af(x)=L implies for a pre-assigned ε>0 there…

Q: Find g"(x) for the function g(x) = (x − 3x³)(x² + 1). [A] 6+ 2x [B] 60x4 - 12x [C] -60x³ 12x [D] 0…

A:

Q: 9) Assume the average temperature in January is approximately 40 degrees and the average temperature…

A:

Q: 1. Find the exact length of the curve for r(t) = (√√2t, √√2t, t²), 0≤t≤1 (Note: The variable t is…

A:

Q: If f(x)= e ³x, then f'(x) = If g(x) = log 8 x, then g'(x) = If h(x) = In (2x), then h'(x)= If f(x)=…

A: We have to find out derivative

Q: a. J(a) Problem 9: Draw the derivative of the function -10 11 F3 -5 10 10 0 -5 -10 V F5 5 F6 10…

A: We have to draw the graph of f(x) derivative by see it's original graph f(x).

Q: sinh(2ln(c))= (A) + 1 2c² (B) c² - 2/2 (C) 2-2/2/2 2c² 1 (D) c- ! C (E) 0 1:37 A

A:

Q: Let f(x)= 2x^2-3x+4/square root of x, Find f'(4)

A:

Q: Use the definition of derivative f'(x) = lim h→0 f(x+h)−f(x)/h to find the derivatives of the…

A: By using the defintion of derivative, f'x=limh→0 fx+h-fxh, to find the derivative of the given…

Q: Find the domain and range for the function  f(x)= {6x-12, if x 2

A:

Q: Find an equation for a plane P that meets the x axis at x=a, the y axis at y=b and the z axis at…

A: NOTE: Refresh your page if you can't see any equations. . the intercept form of the plane is given…

Q: Make the equation of a circle (x-2)²+(y-2)²=25 into integral function

A:

Q: 1) Ax B×C 2) AXBXB 3) BX AXC 4) (A-B) x C A = {1,2}, B = {a}, C = {a, ß}

A: Given, A = {1, 2}, B = {α}, C = {α, β}

Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

A: Given information:  G1: The on shore velocity of drone = 4km per hour G2: The off shore velocity…

Q: 211 रे Solve X हउ Solve in terms of i for solution set,

A: This question can be solved using the formula a2-b2=(a+b)(a-b)

Q: Solve the Bernoulli differential equation: x(dy/dx) + y = y²x²Inx O-1/(xy) = C + x(1 - Inx) O 1/(xy)…

A: First order differential equation :           Consider the differential equation              dydx…

Q: I need help with question #9

A: We need to find AD.

Q: Let  f(x)= x^2 + square root of x, Find f'(4)

A:

Q: 2. Find each limit if possible. If the limit does not exist, from +∞-∞ or DNE. You give the best…

A: Since you have asked the subpart question and part a is already answered, I am answering the…

Q: 2x-y=5

A:

Q: Please can you rearrange this differential equation into standard form and then select from the…

A:

Q: For what values of a and b is the line -15x + y = b tangent to the curve y = ax5 when x = 1 ? a = |…

A:

Q: Rewrite -9.3 e = h as an equivalent logarithmic equation. Enclose arguments of functions in…

A:

Q: Find the 31th derivative of the function f(x)=cos(x) Explain step by step.

A:

Q: Write inequalities to describe the solid upper hemisphere of the sphere of radius 2 centered at the…

A:

Q: 3x + 3y = 2y - 7 Step 2 of 2: Find the equation of the line which passes through the point (14, 5)…

A:

Q: If find f'(x) f(x) = = 5x² tan x sec x

A: Given :fx=5x2tanxsecx

Q: Find the elementary matrix E₁ such that E₁A = B where 9 10 A = 8 -19 - 20 1 11 E₁ = 010 0 0 1 0 1 -1…

A: Matrix

Q: g(t)=t-3 h(t)=-3t³+6t Find g(1) +h(1) h(t)=t+5 g(t)=3t-5 Find (h. g)(5)

A:

Q: d) tx' = -x + t².

A:

Q: Section 1: Solve each AABC. Give angle measures to the nearest tenth of a degree and side lengths to…

A:

Q: Consider the function f defined by f(x) = its domain. a) First compute lim f(x). Answer: XX 5 b a a…

A:

Q: Kite. Camille flies her kite at an angle of 55° to the ground. If she has used 65 feet of string,…

A:

Q: The population of deer in a forest can be modeled by 630 +2960 P(x) = 3x + 8 where x is the number…

A: According to our guideline we are supposed to answer only the first 3 sub-parts of the question. If…

Q: sinh(2 ln(c)) (A) = + 2₂/1/2 2c² (B) c² - 2/2 1 (C) 2-2/2 2c² (D) c - 1 (E) 0 1:37 AM ✔

A:

Q: What value(s) of 6 are an appropriate choice when proving the following limit? 6 1₂(x+3)²) = Enter…

A:

Q: 2. On the graph below, sketch the tangent lines at the points x= -1,0,2,3, and clearly label the…

A:

Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

A: Equation of planes passing through points x1,y1,z1,x2,y2,z2,x3,y3,z3…

Q: lef f(x) = x-2₁ g(x) = ³√x₁ h(x)=x4, and j(x) = 4x, Express oach of the function. given below one or…

A:

Q: Find the slope of the tangent line to the curve f(x) A 63/16 -63/16 C-16/63 D 16/6 1 3x³ + 2x² - 4x…

A:

Q: Use the graph of f(x) shown below to determine each of the following limits. Provide your answer…

A:

Q: Given the graph of a function f(x), sketch the graph of the derivative on the axes below: f(x)

A: Given: The graph of the function f(x) is given. To find: The graph of the derivative function:…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(3, 2, 3),…

A: The objective of the question is determine the volume of parallelepiped.

Q: Find the average rate of change of the given function between the following pairs of x-values.…

A:

Q: Consider the function ƒ(t) = −t² + 3t. Find the average rate of change of f over the interval [4, 4…

A: Here we have to find the average rate of change of function.

Q: √(√x − 2 csc xcotx + 1) dx is equal to 3 2x 2 3 3 2x 2 3 3 2235734 2x 3 3 2x 2 3 + 2 csc x + ln x +…

A: