Basic Math question and answers for July 08, 2023
- Q f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) =45x^2 - 15x^3 / 64Find the horizontal and vertical asymptotesFind the local minimum and maximum points of...
- Q A company is creating a new fertilizer additive for lawn seed,which will be a mixture of nitrogen, phosphate, and potash. Basedon their research, the total amount fertilizer added must be...
- Q The illumination of an object by a light source is directlyproportional to the strength of the source and inverselyproportional to the square of the distance from the source. If twolight...
- Q A rectangular box with no top is to be made to hold a volume of32 cubic inches. Which of following is the least amount of materialused in its construction?a.) 80...
- Q Describe the method of establishing and evaluating for a tripleintegral: Give an example using one of the following options: a)iterated triple integral b) use of spherical coordinates c) use ofcylinder...
- Q A company produces a special new type of TV. The company hasfixed costs of ?$476,000 and it costs ?$1300 to produce each TV.The company projects that if it charges a...
- Q Assume that a demand equation is given byq=5000?100pFind the marginal revenue for the production level (value of q)1000 unitsb. The cost of producing q units is given byC(q)=3000?20q+0.03q2Find the marginal...
- Q Solve the differential equation using method of undeterminedcoefficients.y'''- 8y = 6xe2x
- Q Determine the area inside the first curve but outside the secondcurve.r=2sin2?r=1
- Q Give an arc-length paramaterization of the line which is theintersection of the tangent planes of z=x^2+y^3 at (1,-1,0) and(1,2,9)
- Q You need a loan of ?$140 comma 000 to buy a home. Calculate yourmonthly payments and total closing costs for each choice below.Briefly discuss how you would decide between the...
- Q Use LHopital rule to solve.lim (x-1)^(lnx)x goes to 1+
- Q 13. Minimizing Perimeter: What is the smallest perimeterpossible for a rectangle whose area is 36 in2, and what are itsdimensions? Also, provide the perimeter and area equations. SHOWWORK.Perimeter Equation: _________________Area...
- Q A curve c is defined by the parametric equationsx= t^2 y= t^3-4ta) The curve C has 2 tangent lines at the point (6,0). Findtheir equations.b) Find the points on C...
- Q All vectors are in R^ n. Prove the following statements.a) v·v=||v||2b) If ||u||2 + ||v||2 = ||u + v||2, then u and v areorthogonal.c) (Schwarz inequality) |v · w| ?...
- Q A graphing calculator is recommended.For the limitlim x ? 2 (x3 ?2x + 4) = 8illustrate the definition by finding the largest possible valuesof ? that correspond to ? =...
- Q (a) Suppose that f is a polynomial of degree 3 or more. Explain,in your own words, how you woulduse real zeros of f to determine the open intervals over whichf(x)...
- Q Evaluate the line integral, where C is the givencurve.Cxeyzds,Cis the line segment from(0, 0, 0) to (2, 3, 4)
- Q A gourmet bottled tea drink manufacturer has found that the costto produce 150 cases of bottled tea is $10,000 while it costs$13,150 to produce 325 cases of bottled tea.a. Find...
- Q You must use limit theory for your answers to this question,results obtained by the algorithms of calculus will not earncredit.1) The height, ?, in metres, (with ? measured inseconds) of...
- Q Solve the given equation. (Enter your answers as acomma-separated list. Let k be any integer. Round terms tothree decimal places where appropriate. If there is no solution,enter NO SOLUTION.)cos2(?) ?...
- Q 1. All of the following regions are given in rectangularcoordinates. Give a sketch of the region and convert to acoordinate system, which you believe would be the most convenientfor integrating...
- Q How would you find the absolute maximum and the absolute minimumover the interval of :f(x)=x²+2.5x-6, -5 ? x ? 5f(x)=12(1.5^x)+12(0.5^x), -3 ? x ? 5.1
- Q Imagine you are writing questions for an algebra course. Youwant to write questions that include finding the zeros ofpolynomials. To balance the difficulty level of the test’squestions, you decide to...
- Q Find the volume of the solid obtained by rotating the regionbound by the line x=0 and the curve x=4-y2 aboutx=-1
- Q Is the interval [-4, 7) open, closed, half–open, orunbounded?
- Q f(x)=x4?8x2a. Interval(s) of increase/decreaseb. Local maximum and minimum values as coordinates (x,y)c. Intervals of concavityd. Inflection points as coordinates (x,y)e. Y-intercepts as coordinatesf. X-intercepts as coordinates
- Q Use the power series method to solve the given initial-valueproblem. (Format your final answer as an elementary function.)(x ? 1)y'' ? xy' + y = 0, y(0) = ?4, y'(0)...
- Q The number of cell phone subscribers in the United Statesbetween the years 2000 and 2010 is approximated by the functionN(t) = 385.474 1 + 2.521e?0.214t (0 ? t ? 10)...
- Q Determine the following : a) what is the angle formed by an arclength of 3 radii?b) what is the angle formed by an arc length of 1 radii?c) what is...
- Q Give the domains and ranges of the following functions. A) ln x,B) cos X, C) 10^x D) f(x)= 1/ x^2-12x-45 E) g(x)= sqrt(82-x).
- Q The set R^2 with addition and scalar multiplication definedby(x1, y1) + (x2, y2) = (x1 + x2, y1 + y2)c(x1, y1) = (cx1, y1)is not a vector space. Determine which...
- Q A rectangular box has a length of 1 in, width of 2 in, and height of 3 in. Find the cosine of the angle between the diagonal of the box...
- Q The derivative of ln|x| is an odd functionis it true/false
- Q Use the Midpoint Rule for triple integral to estimate the valueof the integral. Divide B into eight sub-boxes of equalsize. (Round your answer to three decimal places.)2?sin?(2xy2z3) dV, whereBB =(x,...
- Q (x+3)^2/3 + (x+3)^1/3 - 6 = 0Solve the equation.
- Q 1) Equations for two lines L1 and L2 are given. Find the anglebetween L1 and L2.L1: ? = 7 + 2?, ? = 8 ? 4?, ? = ?9 +...
- Q Personal PolynomialPlease make "Chelsea" into a polynomial equation
- Q find the area of the shaded region.1. y = x2 ? 4x, y = 4x2. y = 2x2, y = 7x ? 5x2
- Q In a class of 130 shs students,41 offers agricultural science,62 offers business,and 31 offers visual arts .16 of these studentsoffer both agricultural science and business only and 14 offersboth business...
- Q 1.Make your own example of a 5-by-3 matrix that is in echelon row butdo not reduce row echelon form.2. Repeat for a 2-by-6 matrix3. Make a 4-by-4 rref matrix whose...
- Q (A) Find the number c which satisfies the conclusion of the MeanValue Theorem for the function f(x) = x3 -2x on theinterval [-2,2](B) Then use Calculus to find the critical...
- Q Find the maximum volume of a box inscribed in the tetrahedronbounded by the coordinate planes and the planex + 1/9y + 1/4z = 1
- Q Physiologically based pharmacokinetic (PBPK) models have beenshown to be useful in predicting drug distribution throughout thebody.You will be examining the distribution of a model drug, Elheats.Elheats is broken down in...
- Q When does a series converge?Does the harmonic series converge?Can you find another series which seems like it shouldconverge, but it diverges?Does the alternating harmonic series converge?
- Q what is the difference between direct and inverse variation? whatare some examples of each type?
- Q Three students answer a true-false question on a test randomly.A random variable x represents the number of answers of true amongthe three students, taking on the value 0, 1, 2,...
- Q a. The plane x = 2 is a)parallel to the yz-plane b)parallel to the xz-plane c)parallel to the xy-plane d)none of the aboveb. Which of the following vectors is not perpendicular to vector u...
- Q Find the distance between the following pair of points(2,5) , (3,2)
- Q The business manager of a 90 unit apartment building is trying to determine the rent to be charged. From past experience with similar buildings, when rent is set at $400,...
- Q modern resistivity logging tools are two types: laterolog andinduction.Differentiate between them?
- Q Given the geometric sequence an = 4n . Find the first threeterms and the common ratio.
- Q An open-top box is to be made from a 20cm by 30cm piece ofcardboard by removing a square from each corner of the box andfolding up the flaps on each...
- Q Cansomeone give me an example an non example of coefficient?
- Q 2.a Use Rolle's Theorem to prove that if f ? ( x ) = 0 for allxin an interval ( a , b ), then f is constant on (...
- Q Suppose that the batting averages in baseball are normallydistributed so that the mean is .258 and the standard deviation is0.04. What is the probability that a player has a batting...
- Q Sketch the region enclosed by the given curves. Decide whetherto integrate with respect to x or y. Draw a typical approximatingrectangle. y = 2 + 2 sqrt(x) , y =...
- Q A computer store compiled data about the accessories that 500purchasers of new tablets bought at the same time they bought thetablet. Here are the results: 411 bought cases 82 bought...
- Q Find value of a6 of the Tayler series found by a0, a1x,a2x^2+...
- Q Determine if ?(-1)^n/(4n-7), n=0 to infinity, absolutely orconditionally converges or diverges?
- Q A tank contains 200 galof water and 50oz of salt. Water containing a salt concentration of1/8(1+1/2 sint) oz/gal flows into the tank at a rate of 4 gal/min,the mixture flows...
- Q For the function f(x)=x^5-5x^3 determine:a. Intervals where f is increasing or decreasingb. Local minima and maxima of f,c. Intervals where f is concave up and concavedown, and,d. The inflection points...
- Q 2. The Cost, $C, of hiring a repairman for H hours is given by C= 50 + 25h.A. What does the repairman charge to walk in the door? B. Whatis...
- Q Solve the differential equation: y' + 2y = cos 5x
- Q Find f(t) if L(f)=s/(s^2+16)^2.
- Q Integrate products and powers of tangent and secant where secanthas an odd exponent and tangent has an even exponentEvaluate ?tan^2 xsec^5 xdx using reduction formulas. Include +cin your answer and...
- Q Find the maximum and minimum values of f subject to thegiven constraints. Use a computer algebra system to solve thesystem of equations that arises in using Lagrange multipliers. (Ifyour CAS...
- Q Make an investigate about others method may be used forlinearization. Apply and explain in shorts words.
- Q Find The solution of the Differential Equation of(y+4x+2)dx - dy = 0, y(0) = 3 ( Please With Steps)
- Q 1. Average Cost for Producing MicrowavesLet the total cost function C(x) be defined asfollows.C(x) = 0.0003x3 ?0.02x2 + 103x + 3,600Find the average cost function C.C(x) =Find the marginal average...
- Q Find(f??1)'(a).f(x) = 6 + x2 + tan(?x/2), ?1< x < 1, a = 6
- Q Analyze the function f and sketch the curve of f by hand.Identify the domain, x-intercepts, y-intercepts, asymptotes,intervals of increasing, intervals of decreasing, local maximums,local minimums, concavity, and inflection points. f(x)...
- Q Find the directional derivative of a funtion f(x,y,z)=x^2+e^xyzat point P(1,0,2) in the direction from P to Q (1,1,1). is this maxrate of change ?
- Q 1. The position of a particle moving in a straight line during a5–second trip is s(t) =2t2 ? 2t + 2 cm.Find a time t at which the instantaneous velocity...
- Q 20) For the given cost function C(x)=22500+800x+x2,First, find the average cost function. Use it tofind:a) The production level that will minimize the average cost?21) Given the function f(t)=(t?3)(t+7)(t?6).its f-intercept is its...
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