Basic Math question and answers for August 17, 2023
- Q Find fraction equivalents for the following decimals.A. 0.8 (repeating .8)B. 3.08 (repeating .08)C. 3.08 (repeating just the 8)D. 0.75 (repeating)E. 0.328 (repeating)
- Q Solve for the unknown in the following equation. (Do not round the answer. If the solution is a repeating decimal, enter the answer as a proper fraction or a mixed...
- Q Find the length of the curve.2 t i + et j +e−t k,     0 ≤ t ≤ 5
- Q Question1: Find the interval of increase and decrease of givenfunctionf(x)=3x^5-5x^3f(x)=1/3 x^3-9x+2
- Q The radius of the wheel on a bike is 27 inches. If the wheel isrevolving at 144 revolutions per minute, what is the linear speedof the bike, in miles per...
- Q use newtons method with value of x1=3 to approximatethe root of equation to 6 decimal places x^4=4x^2+25
- Q 2 × ( − 4) + 9 = ________Express as interger
- Q LetR be the ring of all 2 x 2 real matrices.A. Assume that A is an element of R such that AB=BA for all Belements of R. Prove that A...
- Q An object’s position above the ground, s(t), in meters, after tseconds is given by s(t) = 16t2+120t+6. (a) What is the position ofthe object at time t = 3 seconds?...
- Q 39. The life in years of a certain automobile has a probabilitydensity function given by fïƒt0.20e0.20tfor t0. Find theprobability that the life of this car isa) at most 10 yearsb)...
- Q Use Newton's method to find all solutions of the equationcorrect to eight decimal places. Start by drawing a graph to findinitial approximations. (Enter your answers as a comma-separatedlist.)6e−x2 sin(x) =...
- Q In section 2.1 you read about how we can model certainsituations using linear equations. In particular, example 8 showshow you can create an equation to predict sales of a companyPick...
- Q Find the exact location of all the relative and absolute extremaof the function. HINT [See Example 1.] (Order your answers fromsmallest to largest x.)f(x) = 117x4 − 78x3 with domain...
- Q Find a possible formula for the trigonometric function whosevalues are in the following table.x024681012y82-4282-4y =
- Q For each of the following vector fields F , decide whether it isconservative or not by computing curl F . Type in a potentialfunction f (that is, ∇f=F). If it...
- Q T-SHIRTSA school organization has found four different places from whichthey may place order of t-shirts. Each function below couldrepresent the cost of placing a t-shirt order as a function of...
- Q Newton's Law of Cooling tells us that the rate of change of thetemperature of an object is proportional to the temperaturedifference between the object and its surroundings. This can bemodeled...
- Q A symmetrical 2D plate is bounded by the curve ?=?2 and ? =2−?2.Find the first moments and theCentroid of the plate.Make a neat Sketch of the plate; show theelement of...
- Q Brenda and her husband are traveling through the hill country.Brenda is using a GPS device to record her altitude over the courseof her trip. After beginning the trip driving uphill,...
- Q find the solution of the given initial value problem.y′′−2y′−3y=3te^2t y(0)=1 y′(0)=0
- Q Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Ruleto approximate the given integral with the specified value of n.(Round your answers to six decimal places.)216 ln(x)1 + xdx, n...
- Q Consider the region R, which is bounded by thecurves  y=3x and x=y(4−y).(a) Set up, but DO NOT SOLVE, an integral to find the area ofthe region RR.(b) Set up, but DO...
- Q What are the dimensions of the box so that the cost of materialsis minimized?A closed rectangular box has a volume of 16 cubic feet. It’smade of two different materials; the...
- Q Let z = x2y5 , x = sin t +t3 , y = 2t2 – t . Find dz/dtand d2z/dt2.
- Q determine the minimum ououtnkf the function f(x,y)=x^2+y^2-2x-8y onthe region specified x>0 0<y<5 y>x
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