In this problem, p is in dollars and x is the number of units. The demand function for a certain product is p = 121 - x² and the supply function is p = x² + 8x + 79. Find the equilibrium point. (x, p) = Find the consumer's surplus there. (Round your answer to the nearest cent.) $

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: Solve sin(x) = 0.64 on 0 < x < 2π There are two solutions, A and B, with A < B A = 0.6945 B = Enter…

A:

Q: #1: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: Summary: - (i) does not form a fundamental set due to missing different exponent solutions and…

Q: let f(x)=(9x^2 +2) ^4 (-8x^2 +9)^10 find f prime of x

A: The objective of the question is to find the derivative of the function f(x) = (9x^2 + 2)^4 * (-8x^2…

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

A:

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to four decimal places?

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: Find the partial derivatives of the function က် ထိ စီ ။ ။ ။ w=v4r2 +882 +7t2

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Q: nd the maximum rate of change of f(x, y) = In(x2+y2) at the point (-5, -2) and the direction in…

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Q: Find dy x = p² y = 7-8t Select one: a. dy dx O b. dy ○ c. ။ *| dx dy dx O d. dy dx 16 81 18 I dy…

A:

Q: Please help with this question

A: (A) 3.6 Degrees per hour  (B) 2.184 Degrees per hour Explanation:Step 1:Step 2:

Q: Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 4).…

A: Answer is given below:  Explanation:Question 1:Answer:   Now 50 %D -S&gt; Univen It) - 24+ 21 , 1 -…

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ +…

A: Answers :: Part -&gt; (A)S′(t)=0.15t2+1.6t+3 Part -&gt; (B)S(6)=66.6S′(6)=18Explanation:Sol)

Q: A culture contains 1800 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

A: The objective of this question is to find a function that models the growth of bacteria over time…

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the…

A: Answer: 640Explanation:

Q: Compute the following integral problems [10x-12x³-5dx Determine f(x) given that f'(x)=16x4-9x² − x .

A:

Q: Find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point (2π/2, -3π/2,…

A: To find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point ( 2π/2,…

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance…

A: The objective of this question is to find the critical value and rejection region for a left-tailed…

Q: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: 2) The contour map of f(x, y) is shown below. Use it to find fx (1,3) 10 10 8 8 6 =2 6 0 x=2 6 8 10

A: fx​(1,3)=1   Explanation:From the given contour map, we can see that, f(1,3)=4  Similarly we can…

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: (A)   The average change in revenue, if production is changed from 1,000 car seats to 1,050 car…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: The surface are is  2π∫03​3x31+x4​​dx=258.85Explanation:Steps and explanations are as follows:In…

Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

A:

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of…

A: Given a functionf(x,y,z)=z3−x2yTo find: Directional derivative of f(x,y,z) at the point (5,−5,5) in…

Q: Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one:…

A:

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height,h, is…

Q: What is the maximum rate of change of f(x, y) (2,0) 2x+2y 4x²+4y2 2 0 None of the above x²+y at the…

A: at the point

Q: 1. Find the domain and range of f(x, y) = ln(x² − y). -

A: To find the domain of range of the following function.

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 1: The answer is option a. ((10,−6,−3)+s(1,2,−2)​)Question 2:The correct answer is option…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: 1 3. Find the area under the curve y = x³ + 3 -x+4 from 0 to 2.

A: A=338​squareunitsExplanation:Step 1: Sketch the graph of the equation y=x3+31​x+4. The graph is…

Q: Answer the following questions for the function �(�)=���2(�2) defined on the interval -6.18,0.57.…

A: answer is given belowExplanation:Step 1: -pi&lt;x&lt;0 Step 2: occurs at -6.18 Step 3: at x=-pi Step…

Q: 5. 3. The graph of f is given below. If g(x) = f(t) dt, find the following value. Use the provide…

A: I'm uploading images for all questions.Explanation:Ques 5-1Ques 5-b Ques 3 Last ques

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: how did you pring the 2^2n out?

A:

Q: Let f: R -> R be a function defined by function in the image. (a) Find the zeros of (f) and…

A: Given: To Find: (a) To find the zeros of f and to determine where it is positive and where it is…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: 17. Find the intercepts of the plane 2x + 6y − 3z - 12 = 0. -

A: Intercepts are : 6, 2, -4Explanation:

Q: In this problem, use properties of definite integrals. 5 (4x-x2) dx= If [² (4x – (4x-x2) dx= -11 and…

A: Answer is -3Explanation: