equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10 D(x) = TO (a) Find the equilibrium point. (20,13) (Type an ordered pair, using integers or decimals.) (b) Find the consumer surplus at the equilibrium point.

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

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A: We can answer all the three questions as below.

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A: Need to write down the piecewise function.

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A:

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A:

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A:

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A:

Q: Express the equation in logarithmic form: (a) ex = 5 is equivalent to In A = B. Then A = and B = 3…

A: To express the equation in logarithmic form:a ex=5 is equivalent to ln A=B. Then A=?and B=?b e3=x is…

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A:

Q: 31. Find the volume of the solid obtained by rotating the region bounded by x=y²-2 and y=x about the…

A: Let's find volume of solid.

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

A:

Q: -y 3) Evaluate the integral ſ² ſ²¯ ² dxdzdy ?

A: Just solved the iterated integral according to the given order and get the required solution.

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

A:

Q: 7. Evaluate each geometric series or state that it diverges. Provide reasons for your conclusion. k…

A:

Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

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A:

Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

A: Solving the problem by finding the value of the problem.

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A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: 1. For the below ordinary differential equation, state the order and determine if the equation is…

A:

Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: 9x² +4y²-24y - 72x - 144 = 0

A:

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A:

Q: 3X Se ³x cos (2x) dx

A:

Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0

A:

Q: O Evaluate Je*+1 dx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A:

Q: Find the Wronskian of the functions f(t) = 6e sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A: The given functions are;  f(t)=6etsint and g(t)=etcost.

Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

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A:

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Q: can you please write it clearly for better un

A: see below the answer and calculation

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A: Answer :- Given ,  The side of a regular pentagon is 25 cm  If the radius of its inscribed circle is…

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: True or False: The definite integral is equal to Select one: O True False 1² (x² + 3e*)dx [²x²dx + 3…

A:

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

A:

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

A:

Q: the Tonowing Tun f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve…

A: To check whether f1,f2 and f3 is linearly independent or not , find solution of trivial linear…