Find the consumer's and producer's surplus if for a product D(x) = 43 – 5x and S(x) = 20 + 2x . Round only %3D final answers to 2 decimal places. The consumer's surplus is $| and the producer's surplus is $| Get Help: Video еBook

Q: Find S(sin20cose + cos30)d0

A:

Q: dr 2.

A: Use simple integration formula.

Q: Find the arc length L of the graph of r(t). 1 r(1) = r} i + t j+ Vor² 2<t< 5 L =

A: We need to find arc length.

Q: Prove that lim 1 1 by definition.

A:

Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

A:

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: 5. S 2x' dx 6. S*-5x* dx x3

A:

Q: 3. Find the general solution of the differential equation. y"-6y' +13y = 0.

A:

Q: Verify Green's Theorem by evaluating both integrals aN y? dx + x² dy = /, J da ay ax for the given…

A: We have to verify the green theorem for the

Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t + 4)i + tj, 0 <t<1

A:

Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Find the area inside one leaf of the rose: r = 4 sin(30) The area is

A:

Q: x In x dx

A:

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: Conjecture a formula for f'(a) that depends only on the value a. That is, in the same way that we…

A: Given that, fx=4x-x2 We need to compute the value of f'a.

Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: Find the curvature of the curve 7(t) = (3 cos(4t), 3 sin(4t), 4t) at the point t %3D Give your…

A:

Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

Q: r1(t) = 3ti + 3tj + t°k, r2(t) = t'k d [ri(t) r2(t)] = dt

A:

Q: The world population was approximately 6.04 billion at the beginning of 2000. It has been estimated…

A:

Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: Since there are multiple question the first question is answered as per our guidelines. Kindly…

Q: Question The piecewise function f (x) is graphed below. Use geometric formulas to evaluate the…

A: This question is related to definite integration, we will solve it solve it using given information.…

Q: Consider the following. dx Let u = 5x3- 1. Find du. dx - np Indicate how the limits of integration…

A:

Q: - Ose the tranfiorms from the "Table of Lapiace Transformso fnd the Lpce of the function below. You…

A: Given problem:- Find the laplace transformation of f(t) =(1+t)3

Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

A:

Q: 1+x+y dzdyax Jc JO Jo

A: To evaluate the given iterated integral.

Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A:

Q: Compute the composite functions fog and gof and discuss their domains, where f (x) =vx, g(x) = 1 –…

A:

Q: Let C1 be the curve with parametric equations x = Cos t, y = sin t – t, where t e [0, ). (a) Find…

A:

Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

A:

Q: 5. , (6x2 – 3x + 5)d.

A:

Q: Evaluate the definite integral. e14t i + e¬1j +t k )dt O el4 (e-- – 1) j + k i+ 14 (el4 – 1) i- (e -…

A: Evaluate the definite integral

Q: 2 sin (csc 2x) dx

A:

Q: Find the surface area revolve about x-axis at y = x³ from 0 < x< 2 98TT Answer: -sq. units 81

A: The curve y=19x3 from 0≤x≤2 revolved about x-axis.

Q: Find the arc length of the polar curve described by: r = 5+ 5 cos 0

A: Use the formula for the arc length in polar coordinate.

Q: e sin (e^) cos" (e*) c 6. COS

A:

Q: 1. メーメー2 xペー5x+6

A:

Q: Use properties of logarithms with the given approximations to evaluate the expression. log 3x0.477…

A:

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

Q: ||r(t) x r"(t)|| ||r'(t)|³ Use the formula k(t) to find k(t). 13 r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk…

A: A detailed solution is given below

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x -xp- V1-x 5. S 6. Se…

A:

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A:

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = t’i+ t®j K(t) =

A: See the answer below

Q: Determine the value of 3A+5B if 10x2 + 25x +5 A Cx +B (x – 1)(x + 1)² (x+1)² 1 - |

A: