Basic Math question and answers for August 14, 2023
- Q afarm co-op wants to grow corn and soubeans. Each acre of cornrequires 7 gallons of fertilizer and 0.50 hours to harvest. eachacre of soybeans requires 3 gallons of fertilizer and...
- Q 3. Congratulations, you just won the lottery! In one optionpresented to you, you will be paid onemillion dollars a year for the next 25 years. You can depositthis money in...
- Q Differntiate the following11) y= (sinx)/(sec(3x+1))
- Q If exactly 186 people sign up for a charter flight, LeisureWorld Travel Agency charges $302/person. However, if more than 186people sign up for the flight (assume this is the case),...
- Q Steve and Elsie are camping in the desert, but have decided topart ways. Steve heads north, at 8 AM, and walks steadily at 2miles per hour. Elsie sleeps in, and...
- Q Sketch the region and find the area completely enclosed by thefunctions f(x)=x2-1 and g(x)=1-x
- Q Consider the function f(x) = x^3 / x − 21. Give the intervals of increase and the intervals of decreasefor f(x).2. Give the location of any local maximums and local...
- Q 7. The Sorry State Lottery requires you to select five differentnumbers from 0 through 69. (Order is not important.) You are a BigWinner if the five numbers you select agree...
- Q Consider the differential equation dy/dx = y^2 + y - 2 (1)Sketch its phase portrait and classify the critical points. (2)Find the explicit solution of the DE.
- Q When you cough, your windpipe contracts. The speed, v(r), withwhich you expel air through your windpipe, depends in the radius,r, of your windpipe. If a is normal (rest) radius of...
- Q given the 3rd order differential equation: y''' - 3y'' + 2y' =ex / (1 + e-x)i) set u = y' to reduce the order of the equation to order 2ii)...
- Q Suppose the function  g(x) has a domain ofall real numbers exceptx = −2. The second derivative of g(x) is shownbelow.g ''(x)=(x−1)(x + 3)(x +2)3(a) Give the intervals where  g(x)is concave down. (Enter your...
- Q 1) Find the local maximum and minimum values and saddle point(s)of the function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant...
- Q You have three sheets of 2 × 4 m cardboard. You cut squares ofside x from each of the twelve corners. You fold up the resultingflaps on the three sheets...
- Q Fiend the dimensions of the rectangle garden producing thegreatest enclosed area given 200 feet of fencing
- Q For f(x)= cos2x + sinx, find the intervals where thefunction is increasing, decreasing, relative extrema, concavity,and points of inflection on the interval [0,2Ï€)
- Q (1 point) For the given position vectors r(t)r(t) compute theunit tangent vector T(t)T(t) for the given value of tt .A) Let r(t)=〈cos5t,sin5t〉Then T(π4)〈B) Let r(t)=〈t^2,t^3〉Then T(4)=〈C) Let r(t)=e^(5t)i+e^(−4t)j+tkThen T(−5)=
- Q Optimal Chapter-Flight FareIf exactly 180 people sign up for a charter flight, LeisureWorld Travel Agency charges $316/person. However, if more than 180people sign up for the flight (assume this is...
- Q Section 3.1 The Derivative and the Tangent Line ProblemHomework Assignment  Find the derivative of the function by the limitprocess  f(x)=1/x^2  h(s)=-2√s  Find the equation of the tangent line to the...
- Q Find the exact location of all the relative and absolute extremaof the function. HINT [See Examples 1 and 3.] (Order your answersfrom smallest to largest x.) h(x) = (x −...
- Q a.)Find the shortest distance from the point (0,1,2) to any pointon the plane x - 2y +z = 2 by finding the function to optimize,finding its critical points and test...
- Q A = [(α −β −β), (−β α −β), (−β −β α) ](each row is in paranthesis)(c) Find the algebraic multiplicity and the geometricmultiplicity of every eigenvalue of A.(d) Justify if...
- Q If $100,000 will purchase a 20-year annuity paying $739 at eachmonth’s end, what monthly compounded nominal rate and effectiverate of interest are earned by the funds? (Do not roundintermediate calculations...
- Q If $100,000 will purchase a 20-year annuity paying $739 at eachmonth’s end, what monthly compounded nominal rate and effectiverate of interest are earned by the funds? (Do not roundintermediate calculations...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q (1 point) A chain 66 meters long whose mass is 26 kilograms ishanging over the edge of a tall building and does not touch theground. How much work is required...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q 9.a. If the unit of f(x) is gallons and the unit of x are in milesthen the unit of f’(x) = ____________b. If f is an increasing function at x...
- Q Let f(x) =(x − 1)2, g(x) = e−2x,and h(x) = 1 + ln(1 − 2x).(a) Find the linearizationsof f, g,and h at a = 0.Lf (x) =  Lg(x) =  Lh(x) = (b) Graph f, g,and h and their linear approximations. For whichfunction is the linear approximation best? For which is it worst?Explain.The linear approximation appears...
- Q find the cost needed for units X of toilet paper and units y ofglass cleaner which is used with the formulas below.T(x,y)= 3/2(x^2)+y^2-7x-4y-4xy+122then find the local min/max point. find the...
- Q 1.If we have to f(x) = x^5, then:a. determine the equation of the function g(x), which takesf(x), stretches it vertically by a factor of 3, then reflects ithorizontally, and then...
- Q Consider the function ?(?)=(?^(4/5))*(?−3). This function hastwo critical numbers ?<?1) Then ?= ? and ? = ?.2) For each of the following intervals, tell whether ?(?) isincreasing or decreasing.(−∞,?]:   ?[?,?]: ?[?,∞):...
- Q Let f(x, y) = x^ 2 + kxy + 4y^ 2 , k a constant. The point (0,0) is a stationary point of f. For what values of k will...
- Q F
- Q Approximate the arc length of the curve over the interval usingSimpson’s Rule SN with N=8.y=7e^(−x2) on x∈[0,2](Use decimal notation. Give your answer to four decimalplaces.)
- Q Find the general solution y(t) to the following ODE using (a)Method of Undetermined Coefficients AND (b) Variation ofParameters:2y\"-y'+5y = cos(t) - et Sin(t)
- Q Consider the equation: x2 y''-6y=0A. Could you solve this ODE using Homogeneous Linear Equationswith Constant Coefficients? Explain.B. Note that y1=x3 is asolution of the ODE. Using reduction of order, find...
- Q Find the area of the region enclosed by the graphs of y^2 = x +4 and y^2 = 6 − x
- Q A projectile islaunched at a height of 5ft. On the ground with an initial speed of1000 feet per second and an angle of 60 with the horizontal. Usethe movement of...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q The function H(t)=16t^2 + 64t gives the height (in feet) of agolf ball after t seconds.a)Determine the maximum height of the golf ball.b) How long does it take for the...
- Q equation for part A ?(?) = −0.48?^2 + 7.2? + 63equation for part B ?(?) = −?^2 + 8? + 84the Georgia marching band discovers that the amount of time...
- Q For the following differential equationy'' + 9y = sec3x,(a) Find the general solution yh, for thecorresponding homogeneous ODE.(b) Use the variation of parameters to find theparticular solution yp.
- Q For each of these differential equations with initial conditionscompute the first five terms in the series solution centered at thegiven point. 1. y 0 = y − x, y(1) =...
- Q Identify and explain the advantages and disadvantages ofvirtual teams. Outline the factors required for virtual teams to besuccessful.Describe the kinds of behaviours that individual team memberscan engage in that positively...
- Q The temperature at a point (x,y,z) is given byT(x,y,z)=200e^(-x^2-y^2/4-z^2/9) , where T is measured in degreesCelsius and x,y, and z in meters. just try to keep track of whatneeds to...
- Q Use the Second Derivative Test to locate any relative extrema,if they exist. (Round your answers to two decimal places. If ananswer does not exist, enter DNE.) f(x) = 1 3...
- Q The demand function for a certain item isx=(p+2)9e−px=(p+2)9e−pUse interval notation to indicate the range of pricescorresponding to elastic, inelastic, and unitaryNOTE: When using interval notation in WeBWorK,remember that:You use 'I'...
- Q 3. Use the quotient rule for differentiation to find derivativesin each of the following:(a) ?(?)=?2−?+1/?−1 (b) ?(?)=√?+2/2√? (c)?(?)=?3+?2/?3−1
- Q A company produces two types of solar panels per​ year: xthousand of type A and y thousand of type B. The revenue andcost​equations, in millions of​ dollars, for the year...
- Q Why is the Fundamental Theorem of Calculus so important?Give examples on how the method of substitution works with definiteintegrals.What integrals lead to logarithms? Give some examples.
- Q 7. Let A = (−1,3,0), B = (3,2,4) and C = (1,−1,5).(a) Find an equation for the plane that passes through these threepoints.(b) Find the area of the triangle determined...
- Q state and prove L'hopital's rule for the case of 0/0
- Q Calculus #3:1.a) Let A = (2,4,6),B = (1,2,3) and C = (5,5,5). Find point D sothat ABCD is a parallelogram.b). Two points X and Y are colinear if they lie...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q Use the Law of Sines to solve for all possible triangles thatsatisfy the given conditions. (If an answer does not exist, enterDNE. Round your answers to one decimal place. Below,...
- Q Use the given transformation to evaluate the integral. (12x +8y) dA R , where R is the parallelogram with vertices (−1, 3), (1,−3), (2, −2), and (0, 4) ; x...
- Q A company estimates it will sell 5000 products in a year. Itwould like to make some number N of qually spaces orders of size xunits per order so that the...
- Q Using python boto3Check if a folder is in an S3 bucket and if not in the bucketthen it creates a folder in the right directory
- Q Use ten steps in Euler’s method to determine an approximatesolution for the differential equation y′ = x3, y(0) =0, using a step size Δx = 0.1.
- Q Use the derivative f' to determine the local minima and maximaof f and the intervals of increase and decrease. Sketch a possiblegraph of f (f is not unique).f'(x)=30sin3x on [-4pi/3,...
- Q A) Find the directional derivative of the function at the givenpoint in the direction of vector v. f(x, y) = 5 + 6x√y, (5, 4), v =<8, -6>Duf(5, 4) =B)...
- Q Find the open intervals on which ff is increasing(decreasing). Then determine the x-coordinates of all relativemaxima (minima) for all equations below.1- f is increasing on the intervals:2- f is decreasing...
- Q Â 1. What is a critical number of a function f ? What is the connection between critical numbers and relative extreme values?2. What are inflection points? How do you find...
- Q Calculate the second-order Taylor approximation to f(x, y) = 3cos(x) sin(y) at the point (pi, pi/2)
- Q Two parallel paths 20 m apart run east–west through the woods.Brooke walks east on one path at 7 km / h, while Jamail walks weston the other path at 5...
- Q Find the linearizationat x=a.f(x)=sin^7(x),a=π/4,(Use symbolic notationand fractions where needed.)Find the linearizationof y=e^(√7x) at x=36.(Use symbolic notationand fractions where needed.)
- Q A deli sells 480 sandwiches per day at a price of $ 4 each. Amarket survey shows that for every $ 0.20 reduction in the original$ 4 ​price, 10 more...
- Q The temperature at a point (x,y, z) is given byT(x, y,z) =100e−x2 −3y2 −7z2where T is measured in °C and x,y, z in meters.(a) Find the rate of change of...
- Q 1. Find an equation of the circle that satisfies the givenconditions.Center (2, −3); radius 52. Find an equation of the circle that satisfies the givenconditions.Center at the origin; passes through...
- Q The curves r1(t) = < t, 4, t2-9 >and r2(s) = < 3, s2, 4-2s >lie onsurface of f and intersect at ( 3, 4, 0 ). Find a linearapproximation...
- Q The carrying capacity for a country is 800 million. Thepopulation grew from 282 million in the year 2000 to 309 million inthe year 2010.1) Make a logistical model for determining...
- Q Illustrate Approaches that develop students’ imagery andvisualization skills. (Illustrate means to draw or include picturesto represent.)
- Q Consider the solid that lies above the rectangle (in thexy-plane) R=[−2,2]×[0,2],and below the surface z=x2−4y+8.(A) Estimate the volume by dividing R into 4 rectangles of equalsize, each twice as wide...
- Q Find the volume V of the described solid S. The base of S is thetriangular region with vertices (0, 0), (2, 0), and (0, 2).Cross-sections perpendicular to the x−axis are...
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