Basic Math question and answers for July 11, 2023
- Q 5. Given the function y = q(x) =(x^2)/(x-1)a. What is the domain of q(x)?b. What are the vertical asymptotes?c. What are the horizontal asymptotes?d. Where is q(x) increasing/decreasing (draw a...
- Q find the volume of the region bounded by y=sin(x) and y=x^2revolved around y=1
- Q f(x)=e^x/(x+1)Find the vertical and horizontal asymptotes using limits. Also,intervals of increase and decrease, local extrema. Finally, findthe intervals of concavity and points of inflection.
- Q S = {(2,5,3)} and T = {(2,0,5)} are two clusters. Twoclusters that S and T spans are L(S) and L(T) . Is the intersectionof L (S) and L (T) a...
- Q Use a software program or a graphing utility to solve the systemof linear equations. (If there is no solution, enter NO SOLUTION.If the system has an infinite number of solutions,...
- Q Use the given function, its first derivative, and its secondderivative to answer the following:f(x)=(1/3)x^3 - (1/2)x^2 - 6x + 5f'(x)= x^2 - x - 6 = (x+2)(x-3)f''(x)= 2x - 1a)...
- Q Write an equation in standard form given slope =-3/4; P(-1,2) a. 3x+ 4y =5 b. 3x-4y=5 c. 3x-4y=-5 d. 3x+4y =-5
- Q Suppose a colony of mushrooms triples in size every 10 days. Ifthere are 10 mushrooms to start, how many days until there are 1000mushrooms? (A) 41.9181 days (B) 56.4091 days...
- Q . True or false?(1) There is at most one pivot in any row.(2) There is at most one pivot in any column.(3) There is at least one pivot in any...
- Q Find the absolute max and min of f(x)= e^-x sin(x) on theinterval [0, 2pi]Find the absolute max and min of f(x)= (x^2) / (x^3 +1) when xis greater or equal...
- Q How was symbolism used in the art of the RenaissancePeriod? Do we use symbolism today in our visual arts?Explain
- Q 1. Let N be a normal subgroup of G and let H be any subgroupof G. Let HN = {hn|h ? H,n ?N}. Show that HN is a subgroup of...
- Q Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx
- Q Solve the following system. If the system's equations aredependent or if there is no solution, state this.3x - 4y - z = 184x + 2y + z = 167x -...
- Q ln(cos6x) Calculate the first four terms with the maclaurinseries?
- Q The size of the raccoon population at a national park last year was 180. This year, the population is 189. If the population increases exponentially, find the population of raccoons...
- Q 1. For the equation x2+y2?2x?4y?11=0, dothe following.(a) Find the center (h,k) and radius r of thecircle.(b) Graph the circle.(c) Find the intercepts, if any.
- Q Use the substitution x = et to transform the givenCauchy-Euler equation to a differential equation with constantcoefficients. (Use yp for dy/dt and ypp ford2y/dt2.)x2y'' ? 3xy' + 13y = 2...
- Q Factor the polynomial as a product of linear factors:x4-5x3+12x2-2x-20
- Q A room has volume 100m3, and initially containsnormal air. Every minute, 2m3 of gas is pumped in, whichis 1.9m3 air, and 0.1m3 xenon. Every minute,2m3 of well-mixed gas is pumped...
- Q The number? H(t) of veterans from foreign wars who are homelessor at risk of becoming homeless can be approximated by theexponential? function,H(t)=65(1.65)t where t is the number of years since2000.?a)...
- Q Separation of Variables:Let v(t) be the velocity, in knots per hour, of a vessel at timet, t = 0. After the second engine is turned on, its velocitysatisfies the differential...
- Q Let f(x) = ?x^4 ? 4x^3.(i) Find the intervals of increase/decrease of f.(ii) Find the local extrema of f (values and locations).(iii) Determine the intervals of concavity.(iv) Find the location...
- Q a) Let f(x) = ?x^4 ? 4x^3 . (i) Find the intervals ofincrease/decrease of f. (ii) Find the local extrema of f (valuesand locations). (iii) Determine the intervals of concavity....
- Q Separation of Variables:The rate at which fuel is being used by a Wartsila-SulzerRTA96-C Turbocharged Diesel Engine is proportional to the amount offuel already consumed at time t. If there are...
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