Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find the producers surplus at the Equilibrium quantity=

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Observe the given graph and decide whether function is increasing or decreasing.

Q: Find the nine roots of -256 – j256/3.

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F| = 350N 10…

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Q: xªdx J (x2 + 9)2

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: Determine how many acres are in 6.7312 x 10" square kilometers. What is your calculated answer most…

A: Given query is to convert square kilometres to acres.

Q: 19. A video store sells DVD movies and video games. Suppose 68 movies are sold at $25 each and 43…

A: Here given that 68 movies and 43 video games and the prices are $25 and $54 respectively.

Q: V 2 y = 3 Vx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 10. Consider the function defined by f(x) = Vr. Is ƒ differentiable at r = 1? at r = 0? at %D x =…

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Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: (x S+ 3x? - 4 ) dx 12

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Q: SIXE-A Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X+3" 6. lim…

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Q: Consider the function f(t) : 8 sec-(t) – 10t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Topic = Anti derivative

Q: integral od pi/4 0 sin^5 θ dθ

A: A detailed solution is given below

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

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Q: Three forces are simultaneously acting on an object. The first force is 1200 N downward, the second…

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Q: 2/11 Correct Question 4 of 11, Step 1 of 1 2 Consider the function f(x) = x - 6x - 4 on the interval…

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Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: The multiple choice answers to choose from are A) (lnx)^2 B)2x^(lnx-1) lnx C) x^lnx-1 lnx D) 2lnx/x

A: We can simplify the answer: 2xlnxlnxx=2·xlnxx·lnx=2·xlnx-1·lnx  Because xaxb=xa-b=2xlnx-1lnx

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: dx sin x

A:

Q: Determine the convergence or divergence of the series. n = 8 converges diverges

A: Given query is to find series converges or diverges.

Q: x + 4 dx x² + 2x + 5

A: ∫x+4x2+2x+5dxx+1 is a scalable factor of x2+2x+5, so divide x+4 by x+1=∫x+1x2+2x+5dx+∫3x2+2x+5dx

Q: Find the area bounded by the curve y= 4-x2 and thex-axis. Graph

A: We can find the area bounded as below.

Q: 27. In how many ways can each of the following be drawn from a standard deck of 52 cards? three…

A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

A:

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: 4 x*dx J (x² + 1)²

A: Solution is given below:

Q: A Comapny's Marginal cost function is C^1(x)=17/√x) Where X is the number of units. Find the total…

A: Use integration for finding the cost function.

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given query is to find series converges or diverges.

Q: 4e-1dx = 7.96 × 10° O True O False

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Q: (2x + 3)dx x² + 4x + 29

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Q: vergent, find its sum. (If the quantity diverges, enter DIVERGES.) 00 cos n° - Cos (n + 1)2 n = 1

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Q: g(x) If f(x) then h(x)'

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Q: A particle moves in the xy plane so that at any time –2 <t< 2, x = 3 sin t and y =t – 4 cost + 1.…

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2*, y =…

A: We will find the volume of the solid that results when the region enclosed by the given curves is…

Q: 7 Find the average value fave of f(x) = x' between -1 and 1, then find a number c in [-1,1] where…

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Q: Find the area bounded by tHe curves y=8x-x and y= 3x

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Q: Evaluate the integral (Partial Fraction Decomposition) x +1 dx J (x² + 2)(x² + 1)²

A: First of all let…

Q: x + 1 S dx (x² +2)( x² + 1) 2

A:

Q: S 2x(ex²+1 – 2x*) dx

A:

Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: a.…

A: Given problem:-