Q: Evaluate each indefinite i 2. (9x8+ 3x² - 4x) dx
A:
Q: 2x² +3 x(x - 1) dx
A: Do partial fraction then integrate
Q: y' +2y = f(t); y(0) = 0, where f(t)= 1, 0≤t<1 121
A:
Q: Sketch the region enclosed by a y²-56 and x+y=0 Decide whether to integrate with respect to x or y,…
A: Consider the curves x+y2=56x+y=0
Q: can you answer question 3 please
A:
Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…
A: Let's find absolute error.
Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1
A: Evaluate the iterated double integral. ∫01∫-33xy2x2+1dydx
Q: 8 For the function y = f(x) = 7+2²' a. Find the slope of the line tangent to its inverse function at…
A:
Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…
A: Graph of the function is given, we have to find its asymptotes and domain
Q: A ladder 6-m long leans against a vertical wall with the lower end on a level floor. The upper end…
A: Given , Length of ladder is 6m Let height of ladder on wall is x m, and base length of ladder from…
Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…
A: Topic:- function and it's continuity
Q: sin² x + cos²x sin² X -dx
A: NOTE: Refresh your page if you can't see any equations. . the given integration is
Q: 6) Use double integral to find the volume of the solid bounded above by the paraboloid 9x² + y²,…
A: We can find the volume of the solid by using double integral .
Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…
A:
Q: D. Use double integration to find the area of the region R enclosed by the parabola y = 4-x² and the…
A: Let's find area by using double integration.
Q: What function will you differentiate to get each function? 2. f(x) = 8x7 - 4x³ + 2x - 3
A: dxndx =n.xn-1
Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…
A: Here we need to estimate the area under the curve using two and four rectangles.
Q: 6. Find the Laplace transform of each convolution using the theorem C{f*g}=F(s)G(s). a) C {t³ * est}…
A:
Q: Find the centroid of area of region n bounded by 2 y² = x, y² x - 2 8 Answer: (1/11/12) 号 ) 5
A: Concept: Centroid: The coordinates of the centroid are represented as (x¯,y¯) The coordinates of the…
Q: Use indirect proof to show that if n is an integer and n^3 + 5 is odd, then n is even.
A:
Q: [ 1 x2 -a2 dx
A:
Q: 12. A pie is re take the p
A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…
Q: dx h-16x²
A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…
Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…
A:
Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…
A:
Q: A circle with radius 4 units and a central angle of 110° is shown below. 4 a 110 2. The arc length,…
A: We can find the arc length as below.
Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…
A: Given
Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…
A:
Q: By Maclaurin series expansion, show that the sum of the geometric series may be written as a power…
A: This is a problem related to derivative of the function. Based on the general formula and concept we…
Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]
A: Please see the below picture for detailed solution.
Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…
A: Cylindrical shell Method : Let g(y) be a continuous function and non negative .Define Q be the…
Q: Test the convergence and divergence of the following series, find the sum of convergent series.…
A:
Q: Ive the following problems on a separate sheet of paper showing the 8 steps. A cylindrical tank of…
A:
Q: A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today,…
A: We need to find time.
Q: Show * ਤੇ t [s² (s²-2)] sinh42, 2√2
A:
Q: lle s [ (s+5) ³ ] Use convolution to find L-19
A: Let's find inverse laplace by using convolution theorem.
Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…
A:
Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…
A: Given query is to find the solution of the expression.
Q: Test the convergence and divergence of the following series, find the sum of convergent series. 13…
A:
Q: Find the area of the shaded region. y=2x2+x-6 y=x2-4 W
A:
Q: Find the volume of the solid generated by revolving the area of a circle (x − 2)² + y² = 4; about…
A:
Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)
A: Topic:- application of integration
Q: Problem 4 A weight attached to a spring moves up and down, so that the equation d²s of motion is +…
A: A wight attached to a spring moves up and down, so that the equation of motion is d2sdt2+16s=0,…
Q: 3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth…
A: This is a problem related to exponential model function. Based on the general formula and concept we…
Q: 1. Evaluate the dy for parametric equations x = 3t³ - 3 and dx y = 3t² - 6t using parametric…
A:
Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of…
A: Note that, an asymptote is a straight line that constantly approaches a given curve but does not…
Q: What is the common ratio of the sequence 832, 208, 52...?
A:
Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.
A:
Q: NOTE: Enter the exact answer. [11x + ]dx = 7 8x³ +C
A: Using given rules evaluate the integral following
Q: Find the area or volume. Find the area of the region in the first quadrant between the curve y =…
A:
Step by step
Solved in 2 steps with 2 images
- 3.3/5Q Electrical generation from wind turbines (large "windmills") is increasingly popular in Europe and the United States. The fraction of the wind's energy that can be extracted by a certain type of turbine is f(x) = 1/2x(2 − x)2 where x is the fraction by which the wind is slowed in passing through the turbine. Find the fraction x that maximizes the energy extracted. x =Maximizing profit Suppose a tour guide has a bus that holds amaximum of 100 people. Assume his profit (in dollars) for taking npeople on a city tour is P(n) = n(50 - 0.5n) - 100. (Although Pis defined only for positive integers, treat it as a continuous function.)a. How many people should the guide take on a tour to maximizethe profit?b. Suppose the bus holds a maximum of 45 people. How manypeople should be taken on a tour to maximize the profit?POLYNOMIAN AND RATIONAL FUNCTIONSSeveral popular models of carry-on luggage have a length 10 in greater than their depth to comply with airline regulations, the sum of the length, width, and depth may not exceed 40 in. What is the maximum possible volume of a piece of luggage? What are the corresponding dimensions of the luggage? Look for the greatest value of y that occurs within the domain 0, x, 15.
- Quistion#2 Solve the following L.P.P. by graphical method.Maximization Z = 3x1 + 2x2Subjected:x1 – x2 ≥ 1x1 + x2 ≥ 3x1, x2 ≥ 0The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $1200 for the production setup. The variable cost is $20 per pair, and each pair sells for $30. Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost of producing x pairs of shoes. Express your answer in terms of x.TC = Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. Express your answer in terms of x.P = How large must the shoe order be before O'Neill will break even? Round your answer to the nearest whole number.x = fill in the blank 3The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $1200 for the production setup. The variable cost is $20 per pair, and each pair sells for $30. Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost of producing x pairs of shoes. Express your answer in terms of x.TC = Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. Express your answer in terms of x.P = How large must the shoe order be before O'Neill will break even? Round your answer to the nearest whole number.x =
- a)The formula of calculating an upper bound of theabsolute error in bisection method is stronger thanthose of the fixed point iteration.Select one:TrueFalse b)Let g(x) = x2 – 2x – 4 on [-2, 4] , then the fixedpoints for g(x) are:Select one:a. -1 and 4b.-1C. 4d. -1 and -4 c) The number of iterations necessary to achieve an accuracy 10-2using bisection method on theinterval [0,2] is:Select one:a. 6b. 8c. 7d. 5 d)Secant Method is faster than Newton RaphsonMethod.Select one:a. Yesb. No e) The fractional part (mantissa) of the machinenumber0 01100000111 01010011000 isSelect one:a. 0.32980b. 0.72421875c. 0.32421875d. 0.421875f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4 with a percentage error 1%) show your solutionf(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4 with a percentage error 1%) Show the whole solution for future references
- Maximize P=3x1+5x2+2x3 Subject to: 3x1+4x2+5x3≤10 x1+3x2+10x3≤5 x1−2x2≤1 x1,x2,x3≥0 and give the value of x1 that maximizes P.(x^2-9)/(x+3) find the :DomainRangeVertical AsymptoteHole(a) Using a graphing utility, graph f1x2 = x3 - 4x for- 3 ... x ... 3.(b) Find the x-intercepts of the graph of f.(c) Approximate any local maxima and local minima.(d) Determine where f is increasing and where it is decreasing.(e) Without using a graphing utility, repeat parts (b)–(d) fory = f1x - 42.(f) Without using a graphing utility, repeat parts (b)–(d) fory = f12x2.(g) Without using a graphing utility, repeat parts (b)–(d) fory = - f1x2.