D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x) = (x - 5)², S(x) = x²+2x+1

Q: Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl…

A: given vector field

Q: PRACTICE vested at a rate of r = 6% compounded annually, monthly, daily, and continuously. (Round…

A:

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for ƒ(x) = √√x + 16 on the…

A: To verify that the hypotheses of the Mean-Value Theorem are satisfiedfor  on the interval , and to…

Q: 4. Here is a graph representing a function of the form f(x) = a b*. Find the values of a and b. Show…

A: The exponential function is

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: (a) Determine whether the given integral is improper or not. You need to explain why it is either…

A:

Q: A window has the shape of a rectangle surmounted by a semi-circle. Find the dimensions that provide…

A:

Q: 1 S² F(x) '9 +6² f(x) dx = 37 and g(x) dx= 18, find I' [3f(x) + 5g(x)] dx.

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (−1)n + 1 Σ √n…

A:

Q: 10 [²0: 9x - 1 x²(x + 1) dx = - [ ²010 dx - [10 / / + dx - 1²0 x 140 1 dx +

A: I=∫1109x−1x2(x+1)

Q: 1. Given y" - 2y + 2y = 0 a) Verify that y₁=e* cos x and y₂ = e* sin x are solutions b) Verify that…

A:

Q: If f(x)=sinx+ 2 cosx-x, find / (1)

A:

Q: use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

A:

Q: Current Attempt in Progress Incorrect. Find the area under P = 120(0.7)' between t = 0 and 1 = 6.…

A:

Q: Use the reference angle to find the exact value of the following expression. sin 585°. (Simplify the…

A:

Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤ t ≤…

A: given data about the velocity of the object

Q: Consider the following. y 16 8 0 y = f(x) 8 O R6 16 (a) Use six rectangles to find estimates of each…

A:

Q: Consider that f(x) > 0 for a ≤ x ≤ b. Find the area (in units2) under the graph of f(x) between the…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n!…

A:

Q: 6. (a) The curve y = x², 0≤ x ≤ 1, is rotated about the y-axis. Find the area of the resulting…

A:

Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: Given general solution is .......(1)

Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 1/ interval [0.2,…

A:

Q: Find the exponential function y = Cekt that passes through the two given points. y = 10 8 0 (0,2) 2…

A:

Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

A:

Q: True or False: If a ‡ b and if ſå |ƒ(x)|dx = 0, then f(x) = 0. True O False

A: The given statement is If  and if  then

Q: Evaluate u³(²-1)² du in terms of u by expanding the integrand. [/u³(²-1)² du = -/( 11 + C 1) du

A: To evaluate  in terms of  by expanding the integrand.

Q: (a) Use the figure to find the [ f(x)dx. value of L₁₂ f(x² f(x) dx = -10 f(x) Ax [ 1. 7 in (b) If…

A: We will find

Q: Consider the following. u =(4,-1,0) v = (-8, 9, 0) Find u x v. Determine if u x v is orthogonal to…

A:

Q: How many solutions does the equation sin 3x = 1.44−2x^2 ​have? Using Newton's method.  The equation…

A: sin3x=1.44-2x2

Q: Use the half-angle formula cos² 0 = 16 V cos² cos2 Ꮎ ᏧᎾ 6 = 1/²/(1+ = 1/6/6/²2 ( ¹ + [ 1 8 ([ 1) + C…

A:

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: Find the equation of the orthogonal of the set of the curves and solve the differential equation:…

A:

Q: If c is a positive constant, find the area of the region enclosed by the parabolas:  y=x^2-c^2…

A: If c is a positive constant, then to find the area of the region enclosed by the parabolas:in terms…

Q: Tutorial Exercise Test the series for convergence or divergence. 6 6 6 6 6 + + 79 11 13 15 Step 1…

A:

Q: B Find the Taylor polynomials p4 and p5 centered at a = 6 for f(x) = 4 cos (x).

A:

Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

A:

Q: It is known that y = ekt is a solution of the differential equation y" - 25y = 0. Find the values of…

A:

Q: Using the graph of h(x). identify all of the values of c for which h(c) is a local maximum of…

A:

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE c) d) y" +10y' + 25y = 0…

A: c) y''+10y'+25y=0d) 4y''+16y'+17y=0

Q: c) y" +10y' + 25y = 0

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: (a) Sketch the graph of r = 8 cos 0 by plotting at least 4 points in polar coordinates. Label the…

A: given a equation

Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

A:

Q: A stone is thrown from the top of the building. It's height (in feet) above the ground after t…

A:

Q: Öz Given z = sin(y) where a=t+u and y=t-u, find Ot What is the formula for ✓ Find Oz Ət dz Ot : 8z…

A:

Q: Find the orthogonal trajectories of the family of curves y² = kx³

A:

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C"(x) = 40x + 710…

A: C′(x)=40x+710C(12)= 11700

Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function