Basic Math question and answers for August 06, 2023
- Q Find the distance between the skew lines with the givenparametric equations.x = 2 + t,   y = 3 +6t,   z = 2tx = 1 + 4s,   y = 5 +15s,   z = -2 +...
- Q Differentiate the following functions, taking care to use thecorrect notation for the derivative function:Can I get the step by step solution for this please thanks1) f(x)=(x2+2x)(3x-9)2) y=9x2-3x/x-13) y = 3(8x2...
- Q Let p(x) be a real polynomial of least degree which has a local maximum at x = 1 and a local minimum at x = 3. If p(1) = 6...
- Q A ball, dropped onto a hard floor from a height of 2 meters,bounces to a height of 1.8 meters, 90% of the initial height. Eachsubsequent bounce is 90% the height...
- Q 1.Find the general solution of the given differential equationusing variation of parameter.y″ − 2y′ + y = et/(1 + t2)
- Q For the functiong|x|=2x/3x3-x2Â Â ,find the domain,x-intercepts, y-intercepts, critical numbers, extrema, holes,vertical asymptotes, horizontal asymptotes, points of inflection.If any of these items do not exist, explicitly state so.
- Q 1. You’ve been hired by a company that makes rectangular storagecontainers. Each container has asquare base and each container must have a volume of 10 m^3. Thematerial for the base...
- Q What is the Maclaurin's series for (-2x/(1+x^2)^2) and itsradius of convergence.
- Q Does the given function satisfy the three hypotheses of Rolle'sTheorem on the given interval? If so, determine where f ′ ( x ) = 0within the interval; if not, explain...
- Q For the function f(x)=x4-4x3 , find thefollowing:local minima and/or maxima (verify)inflection point(s) (verify)
- Q Abird species in danger of extinction has a population that isdecreasing exponentially (A = A0ekt).Five years ago, the population was at 1400 and today only 1000 ofthe birds are alive....
- Q A freshly brewed cup of coffee has temperature 95°C ina 20°C room. When its temperature is 74°C, it is cooling at arate of 1°C per minute. When does this occur? (Round...
- Q 1.Find the equation of the tangent to x=t^2-t, y=t^2+t+1, at thepoint t=12.Find the length of the curve x=t*sint, y=t*cost,0≤t≤1
- Q Solve the given nonhomogeneous O.D.E by variation of parametersor undetermined coefficient.(x^2*D^2 + xD - 4I) * y = 1/x^2
- Q Structural engineering
- Q A price p (in dollars) and demand x for a product are related by2 x^2 + 2 x p + 50 p^2 = 20600. If the price is increasing at...
- Q An RLC circuit is made up of a resistor R = 12Ω , a capacitor C= 0.1 F and an inductor L = 2 H. A voltage source is connected...
- Q The number of bacteria in a culture is increasing according tothe law of exponential growth. Initially there are 300 bacteria andafter 4 hours there are 900 bacteria. How many bacteria...
- Q Determine whether​ Rolle's Theorem applies to the followingfunction on the given interval. If​ so, find the​ point(s) that areguaranteed to exist by​ Rolle's Theorem. ​g(x)=x^3- 9 x^2 + 24 x...
- Q Find the Maclaurin series for tan x and using that series,derive the Maclaurin series for sec^2(x)
- Q A tank contains 420 litres of a solution, with 20 kilograms ofsalt in the solution. A solution with a concentration of 57kilograms per litre enters the tank at a rate...
- Q Let f ( x , y ) = x^ 2 + y ^3 + sin â¡ ( x ^2 + y ^3 ). Determinethe line integral of f ( x...
- Q Each of two observers 300 feet apart measures the angle ofelevation to the top of a tree that sits on the straight linebetween them. These angles are 55° and 38°,...
- Q If f(x) = (x+1)^3(2x-1)^2(x+2)a. Identify the degree, the leading term, the constant, and theactual zeros with their multiplicitiesb. Graph without using value table
- 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...
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