6 When a theater owner charges $5 for admission, there is an average attendance of 180 peopre. For every $0.10 price increase, there is a loss of 1 customers. What admission should be charged to maximize revenue and how many people will attend at that price?

Q: On what interval(s) is the function g(x) = e -8x both decreasing and concave down? (Enter your…

A:

Q: 10. Find the value of $1000 deposited in a bank at 8% interest for 10 years compounded: a) quarterly…

A: Given that , P=$1000r=8%=8100=0.08t=10 years

Q: dy dx An equation of a curve is given by x lny + y = 1. Which one of the following is Select one…

A:

Q: 10 Monday lim 20 315 5 에요 글

A:

Q: 15 √x +9 Find the average density Pave (in kg/m) of the rod. kg/m The linear density p in a rod 7 m…

A:

Q: Match the graphs with the corresponding formulas. 1. Sn = 3/n ? ? ? ? 2. Sn=3+ (-1)"/n ✓3. Sn =…

A:

Q: Using calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The…

A:

Q: Differentiate f(x) = 5 ( − 3xº – 8x³). You do not need to expand your answer. f'(x) = Factor out the…

A: d/dx =nx(n-1) for any real number n

Q: In Exercises 1-17 find a particular solution. y' + 3y + 2y = 7 cos x - sin x y" + 3y + y = (2-6x)…

A: Note: - According to the company policy we can attempt only one question so please upload the next…

Q: Given: (q is number of items) Demand function: d(q) = 317.4 Supply function: s(q) = 0.4q² Find the…

A:

Q: [5/4 sin x dy dx

A: Here we have to find the double integral.

Q: Use the Comparison Test to determine whether or not the integral converges. dr T-1 (b) (c) 3 -5 C […

A:

Q: Find two points where the curve x² + 2xy + y² = 97 crosses the x-axis. The tangents to the curve at…

A:

Q: The function f(x) = 3 - 2x is defined for the given domain -2 ≤ x ≤ 2. What is the range? (A)7 ≤…

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = y cos(x - y),…

A: Given z=y cos(x-y)      ; (4,4,4)

Q: Find the critical numbers of f(x) = 5x³ + 6x² - 4x + 120

A:

Q: Σ 1 8

A: See this solution in below.

Q: On what interval(s) is the function f(x) = x55x4 + 15 both increasing and concave down? (Enter your…

A:

Q: Given the table for f(x) and g(x) below, find the following: f(x) g(x) 2 1 6 4 5 5 7 0 1 2 m K 5 LD…

A: Given a real valued function fx. Then, the average rate of change of fx as x changes from x=a to…

Q: cos(x) (a) lim x1 √√x-1 r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

A:

Q: dors de lim (3x - √90c²-5x+7 84∞

A: Topic - Limits We are given limx→∞3x-9x2-5x+7

Q: answer

A:

Q: QUESTION A3 Calculate the test statistic, Z for the population mean.

A: The test statistic is a z-score (z) defined by the following equation. z=(p−P)σ  ,  where P is the…

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

A:

Q: Choose the correct option for the following two statements and provide justification for your…

A: Please see the below picture for detailed solution.

Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

A:

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

A:

Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: Let g(x) 10x + 12 3x + 6 Find the derivative of g'(x). g'(x) =

A:

Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

A:

Q: Find the absolute extrema of the function y = 3x3 2x on [1,1]. Type your answers as coordinates (x,…

A:

Q: f(x) = (x+4)(x+2)(x - 1)(x-4) 9-6-6-of-, X 100 06 80 70 60 50 lob of L & E 08 10 01- -20 of ob os.…

A:

Q: Cos (anc tan $3 tancsin)

A: Solution: Given data, cos(arctan(√3)+arcsin(1/2))

Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: Consider the differential equation (2x-xy) dx-2dy=0 with the initial condition y = 1 when x = 1.…

A: We need to find approx value.

Q: Suppose the derivative of the function y=f(x) is y'=(x-4)²(x-2). At what points, if any, does the…

A:

Q: Which of the following integrals is the area between the graph of f(x) and the y-axis from 0 to 6…

A: Note: Since, there is a typing error in "the area between the graph of f(x) and the y-axis" because…

Q: Solve for the general solution: Oy 0.25x^2 sin(4x) + cx^2 Oy -0.25x^2 sin(4x) + cx^2 Oy -0.5x^2…

A:

Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: Find the indefinite integral. (Use C for the constant of integration. [x² x cos 7x² dx

A:

Q: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: Find the work done by the force F = 9xy i+ 12y²j acting along the piecewise-smooth curve consisting…

A:

Q: 2 5k 3 6

A:

Q: 2. Find the absolute maximum and minimum of f(x) = 3x³9x² +5 on the interval [0, 4].

A:

Q: Find the derivative of ?(?)=32?3+14?2+2?+1f(x)=32x3+14x2+2x+1 where ?=2x=2.

A: given f(x)=32x3+14x2+2x+1

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: Let's find definite integral of area.

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 -4 19 50 40 30 20 10…

A: To write the function in any form that would match the graph shown below.

Q: If 8000 dollars is invested at 8% interest, find the value of the investment at the end of 6 years…

A:

Q: Question 5 Indicate if the function represents exponential growth or exponential decay. y = 95(0.3¹)…

A: