Basic Math question and answers for July 10, 2023
- Q An elastic band is hung on a hook and a mass is hung on thelower end of the band. When the mass is pulled downward and thenreleased, it vibrates vertically....
- Q (a) Show that B {[2, 3, 0,1],[1, 1, 1,1]} is a maximal linearlyindependent subset of S {[1, 4, 1,2],[1, 1, 1,1],[3, 2,1, 0],[2, 3,0,1]}.(b) Calculate dim(span(S)).(c) Does span(S) R4? Why...
- Q A group of retailers will buy 116 televisions from a wholesalerif the price is $300 and 156 if the price is $250. The wholesaleris willing to supply 104 if the...
- Q 1.The domain of r(t)=?sin(t),cos(t),ln(t+1)? isSelect one:a. (??,?1]b. (?,2?)c. (??,?2]d. (??,2?)e. ?f. (?1,?)2. The limt??r(t) where r(t)=?t2,et,cos(t)? isSelect one:a. ??2,e?,?1?b. undefinedc. ??2,e?,1?d. ?2+e?e. ??2,e?,0?3.Let v(t)=?2t,4t,t2?. Then the length of v?(t) isSelect...
- Q Find a point within a triangle such that the sum ofthe square of its distances from the three angular points is aminimum.
- Q Suppose you want to buy a new car and trying to choose betweentwo models:Model A: costs $17,000 and its gas mileage is 20 miles pergallon and its insurance is $200...
- Q Evaluate the line integral along the given paths.xy ds(a) C: line segment from (0,0) to (5, 4)C: counterclockwise around the triangle with vertices (0, 0),(8, 0), and (0, 2)
- Q 1. Tickets for the school play cost $5 for students and $8 foradults. On opening night, all 360 seats were filled, and the boxoffice revenues were $2610. How many student...
- Q Is the following matrix in its reduced row echelon form? Explain your judgement.
- Q Find the vertex, focus, directrix, and focal width of theparabola.(y + 2)2 = -8(x - 1)
- Q "If A and B are similar then A and Bare orthogonally similar. " Prove or disprove thisstatement.
- Q plot each point and form the triangle ABC. Verify that thetriangle ABC is a right triangle. Find its area. A= (-5, 10) B(2,7) C (-1,0)
- Q Evaluate the following integral using the Midpoint Rule? M(n),the Trapezoidal Rule? T(n), and? Simpson's Rule? S(n) usingnequals4. Integral from 2 to 6 StartFraction dx Over x cubed plus xplus 1...
- Q 1.) Find the sum V in cartesian and polar coordinates of V1=1000m/s, V2=1800 m/s 2.) Find the difference of V in polar andcartesian coordinates for V3= 800 m/s and V4=...
- Q A construction worker pulls a five-meter plank up the side of abuilding under construction by means of a rope tied to one end ofthe plank (see figure). Assume the opposite...
- Q The volume of a right circular cylinder with base radius ? andheight ? is given by: ? = ??^2?. If the base radius is decreasingat a rate of 3 inches...
- Q Suppose the average yearly salary of an individual whose finaldegree is a master's is $3333 thousand less than twice that of anindividual whose final degree is a bachelor's. Combined, two...
- Q Sketch and find the area of the region bounded by the curves?=?+? and ?=?2??.
- Q How have you contributed to classroom participation, either inclass pre-pandemic or electronically post-pandemic?
- Q 5. The rate of excretion of a biochemical compound is given by ?? (?) = 0.01? ?0.01? , where t is the time in minutes. Find anexpression for f(t), the...
- Q Find the area of the region enclosed by the graphs ofx=(1/2)(y^2)-3 and y=x-1
- Q Find the Maclaurin series of f(x) = [sin(x2)]/x andfind its radius of convergence.
- Q COURSE TITLE:Business Research Methods and StatisticalAnalysisTOPIC:Literature ReviewQ1/Consider the topic of study is STUDY ON IMPACT OF PERFORMANCEAPPRAISAL FEEDBACK ON JOB SATISFACTION AND ITS IMPACT ONORGANISATION COMMITMENT and prepare the chapter...
- Q The Deligne Dam on the Cayley River is built so that the wallfacing the water is shaped like the region above the curve y = 0.5x ^2 and below the...
- Q A trough is filled with a liquid of density 820kg/m3. The ends of the trough are equilateral triangleswith sides 6 m long and vertex at the bottom. Find the hydrostaticforce...
- Q Solve the following initial value problem using Laplacetransforms:y000 + y0 = et, y(0) = y0(0) = y00(0) = 0.
- Q Use calculus to find three positive numbers that sum to 150 withthe greatest possible product.
- Q 1. Find the balance after 5 years in a savings account that pays2.5% APR compounded monthly if deposits are made to the accounteach month in the amount of $100.2. A...
- Q 2. Find the point on the line 6x+y=9 that is closest tothe point (-3,1).a. Find the objective function.b. Find the constraint.c. Find the minimum (You need to specifyyour method)
- Q Let (R 3 , ×) be the set of 3d vectors equipped with theoperation of vector crossproduct. Which of the following propertiesdoes this operation satisfy (give proofs in all cases)?(a)...
- Q Construct the field of complex numbers as an extension of the fieldof rationales. Please, be thorough.
- Q Market Research:You have an apple orchard. You let people pick their own apples.When you let people pick a small bag for $6, there were 6,316 smallbags sold. You do some...
- Q Solve the initial value problem once using power series methodand once using the characteristic method. Please show step for both3) 3y”?y=0, y(0)=0,y’(0)=1Note that 3y” refers to it being second orderdifferential...
- Q The Jones family is buying a new house at the price of $165,000.They will finance it with a twenty-year mortgage that has aninterest rate of 8%.(a)Assuming that the family can...
- Q Suppose that Line 1 contains the point P1 = (1,2,3) and thevector V1 = <2,1,-2> is parallel to Line 1, and also thatLine 2 contains the point P2 = (4,0,9)...
- Q A water balloon launcher (a is used to propel a water balloonfrom a sidewalk that is 48 ft above a level parking lot on campus.The water balloon leaves the launcher...
- Q Please show all work step by step so i can understandFind and classify each critical point (as relative maximum,relative minimum, or saddle point) off(x,y)=2x^3+3x^2+y^2-36x+8y+1
- Q You are making a box by removing the corners from an 16cm by10cm rectangular box. How much do you need to remove to make a boxof maximum value?Please show explanation
- Q An investor has a certain number of units of a new currencywhose price is fluctuating periodically. The number of units thatthe investor holds, N(x), as a function of time x...
- Q y(x)= C1e2x +C2e-x+C3Cos(x)+C4Sin(x)-4x5+10x4+20x3+30x2-450x+255?(0) = ? ?(0) = ? ??(0) = ?''' (0) = 0Find the solution to the initial value problem by plugging inthe initial conditions to the general solution.a....
- Q 2. Given the System of Equations:3x+2y+z+20w= 6x+2y+z+10w=0x+y+z+6w=22x+2y+z+15w=3a) Use your calculator to solve, leaving solution in parametricformb) Find the specific solution when y = 6c) Perform, BY HAND, a full check...
- Q Set-up surface area of y = cos 2x rotated about x-axis [0, ?/4]and sketch the surface
- Q An open cone is filled completely with water and is orientedwith its vertex facing downward. The cone has a base diameter of 6inches and a height of 12 inches. Assume...
- Q The manager of a large apartment complex knows from experiencethat 90 units will be occupied if the rent is 468 dollars permonth. A market survey suggests that, on the average,...
- Q Consider the cost of assigning a task to an individual as shownin the table below. It is assumed that each individual can beassigned to at most one task, and each...
- Q A rectangular swimming pool is 5 ft deep, 10 ft wide, and 15 ftlong. The pool is filled with water to 1 ft below thetop. If the weight density of water...
- Q 1. Find a closed form expression for the MacLaurin series forf(x) = sinh(3x)2. Find a closed form expression for the Taylor series for f(x)= 4e2x expanded at a=3
- Q Find the domain for each function please explain. f(x)=10x^2 + xf(x)= -2/x^2
- Q Write the equation of the tangent line to the graph of ?(?) =(2)/(3??) at the point where x = 4. You must use the limitdefinition for any derivatives and show...
- Q Let J be the antipodal of A in the circumcircle of triangle ABC.Let M be the midpoint of side BC. Let H be the orthocenter oftriangle ABC. Prove that H,...
- Q a) Given a vector field à = z? +(3y + 2)2 î in cartesiancoordinates, determine whether it is solenoidal (V · À = 0),conservative (D x X = 0)I Div...
- Q Discuss a real time application of first order differentialequation [Answer should include literature review and realapplications maximum 200 words].
- Q Find the general solution for differential equationx^3y'''-(3x^2)y''+6xy'-6y=0, y(1)=2, y'(1)=1,y''(1)=-4
- Q Determine the periodic deposit. Round up to the nearest dolar. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit: $? at the end...
- Q Find the value of k such that the graph of y = f(x) has novertical asymptote given by x = 2 wheref(x) = (4x 3 ? 4x 2 + kx...
- Q How do you tell if a graph of a rational function has a hole inthe graph or a vertical asymptote? Give an example of eachcase.
- Q Find the area under the graph of f over the intervalleft bracket 7 comma 9 right bracket[7,9].?f(x)equals=StartSet Start 2 By 2 Matrix 1st Row 1st Column 4 xplus 9 comma...
- Q 1) Determine the angle between vectors:U = <2, -3, 4> and V= <-1, 3, -2>2) determine the distance between line and pointP: -2x+3y-4z =2L: 3x – 5y+z =13) Determine the...
- Q Write the equation of the tangent line to the curve :y3 + 2x2y - 8y = x3 + 35when x = -2
- Q [system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,u (t) = 2u (t) + 2v (t) + 4V (t) = u (t) + 3v...
- Q A metal rod at 38°C is placed in a room at a constanttemperature of 0°C.(a) If after 20 minutes the temperature of the rod is 20°C, findthe temperature function T(t)...
- Q Evaluate the line integral along the given paths.xy dsC(a)C: line segment from (0, 0) to(7, 4)counterclockwise around the triangle with vertices (0, 0),(8, 0),and(0, 4)
- Q 1a. Find the equation of a tangent line to the curve f(x) =ln(2?x)/x + 3x at the point (1, 3).1b. Suppose the following function is defined implicitly by theequation, Find...
- Q 2. Determine if the following series converge or diverge.Justify your answers, citing any appropriate tests for convergencethat you use.(a) sigma^infinity_n=1 n + 2/(n^5/3 + n + 5 )(b) sigma^infinity_n=1 (1...
- Q Each of the following limits represents a derivativef?'(a).Findf(x)anda.lim h?0(5 +h)3 ? 125hf(x)=a=5lim x?2x3 ? 8x ?2f(x)=a=2lim h?052 +h ? 25hf(x)=a=2
- Q find the maclaurin series for f and its radius ofconvergence.(1) f(x) = 10^x(2) f(x) = e^x^2(3) f(x) = (1-x)^-5(4) f(x) = ln(1+x^2)
- Q 1, Letf(x)=x3/3?0.5x2?6xFind the interval where f(x) is decreasing.Enter your answer for the left endpoint in the first textbox, andright endpoint in the second textbox:
- Q Check all of the following that are true for the series?n=1?(n?3)cos(n*?)n^2A. This series converges B. This series diverges C. The integraltest can be used to determine convergence of this series....
- Q Obtain the general and particular solution of the DEd2 y(x) / d x2 + (1/2) (dy(x) / dx) -(1/2)y(x) = x + 1By use of the variation of parameters method.Evaluate...
- Q Sketch the graph of the function ?(?)=(2x2-5x+2)/(x+1)2, given the derivatives:? ?(?) = (9??9)/(?+1)3 and ? ??(?) =(36??18)/(?+1)4Your sketch should consider the following:? x- and y-intercepts, if any.? Horizontal and vertical...
- Q Bob throws a ball straight up with an initial speed of 46 feetper second from a height of 77 feet.(a) Find parametric equations that describe the motion of theball as...
- Q Sketch the curve of the following function and show all the worky=x/?(x²-1)
- Q what is the formular of binomial probability
- Q For the following questions:A. Draw a pictureB. Compute the different lengthsC. Compare lengths or replace into formula for sphereD. Explain your final results in complete sentencesFind the midpoint of the...
- Q Two cars start moving from the same point. One travels south at56 mi/h and the other travels west at 42 mi/h. At what rate is thedistance between the cars increasing...
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