A tire manufacturer estimates that the demand function for their radial tires will be given by P = -0.1x² +90 where p is the price (in dollars) and x is the number of tires demanded (in thousands). The corresponding supply function is given by p= 0.22² +2 +50 Determine the consumers' surplus if the market price is set at the equilibrium price (remember that x is measured in thousands).

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A: The objective is to find the average value of f(x).

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A: Pu

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A: "According to the guidelines issued by the company we are supposed to answer only one question.…

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A: answer is in next step

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A: Given query is to find differential at given point.

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A: Given

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

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A: Given problem:-

Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

A:

Q: Question R is the region bounded by the functions f(x) = 2-3 sin (x) and g(x) = 4 cos (x). Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A:

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is here

Q: (a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding…

A: Explained below

Q: Calculate the area and show the graph of the curves:

A:

Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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Q: Use the midpoint approximation to approximate the area under the curve of f(x) = + +2 on the…

A:

Q: √√(x + y + 2) ds, 0sus 5, 0≤v≤1 S is the parallelogram with parametric equations x = u + v, y = u -…

A: Solution is here

Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: y = x² and x² = y

A: Area of the bounded region is

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Suppose that a company's production for Q units of its product is given by the Cobb-Douglas…

A:

Q: Question 13 d²2 Which of the following satisfies the differential equation dx² A. y = e³x B.y = e-3x…

A: We need to choose correct option.

Q: Find the general antiderivative of f (x) = 4 x ln x²

A:

Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

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Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: We need to choose correct option.

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: Given function f(t)=7 cos(t), -3π2≤t≤3π2 We need to plt the graph for the above function

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

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A: This question can be solved using the concept of triple integrals.

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A:

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

A:

Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Δy ~

A:

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

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Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

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Q: [u udv-uv- - [vdu to Explain why the substitutions below are inappropriate. Let dv =x dx 1. Suppose…

A: This questions uses ILATE  rule

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: Matrixes: find k by determinant K-3 0 1 A = 1 K-3 0 0 1 K-3

A: We have to find K by determinant.

Q: your cimal places. Radioactive substance X starts with a mass of 20 g. The half-life of the…

A: Given problem:- Radioactive substance X starts with a mass of 20 g. The half-life of the substance…

Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: 3x52x³ +5x² - 2 2³ +1 4. ·[3.25 da

A: