Basic Math question and answers for July 14, 2023
- Q Let F(x,?y,?z) ?=?(6x5?ln(5y2 + 3) +10z4)?i ?+?(((?10yx6)/(5y2 + 3))+8z)?j ?+? (40xz3 +8y ? 6??sin??z)?kand let ?r(t) ?=? (t3+ 1)?i ?+? (t2 +2)?j ?+?t3?k?, ?0 ??? t ???1. Evaluate ??CF?·?dr(please explain...
- Q Last year, 292 million music CDs were purchased by 112million households in the United states.On the average, how manyCDs were purchased in each household
- Q Find the volume of the solid of revolution that is formed byrotating the region bounded by the graphs of the equations givenaround the indicated line or axis1.- y=9-x^2, y=0, around...
- Q 1.38.5. One diagonal of a quadrilateral bisects the other if andonly if the diagonal also bisects the quadrilateral.
- Q Suppose that ac + bd = 0. Show that vectors [a, b] and [c, d]are perpendicular. The number ac + bd is called the dot product ofthe vectors [a, b]...
- Q 9) Suppose that t years from now, one investment willbe generating profit at the rate of P 1 ? = 40 + t 2 hundreddollars per year, while a second...
- Q PopSolution Inc is a small IT Solution company based in CentralJakarta, Indonesia. They have just finished their sales pitchmeeting with their latest potential client, an automobile salescompany based in South...
- Q CalculateL?1[6s?2(s+1)(5s2+3s+2)]
- Q Use the Laplace transform to find the solution y(t) to the IVPy??+3y?+2y=2e?tt with initial condition y(0)=1,y?(0)=2
- Q Show all your work. Let f(x) = x 5 e x 3 (i) Use the Taylorseries for e x around 0 to find the Taylor series for f(x) (ii) Use(i)...
- Q Find all zeros of the polynomial function. Use the Rational ZeroTheorem, Decarte's Ruke of Signs, and possibly the graph of thepolynomial function showny by a graphing utility as ab aid...
- Q A linear cost function isC(x) = 7x+ 800. (Assume C is measured in dollars.)(a) What are the slope and the C-intercept?slope C-intercept (b) What is the marginal costMC??MC =What does the marginal...
- Q Let f(x) = x / (4?x^2) .(a) Find the domain and intercepts of f(x).(b) Find all asymptotes and limits describing the end behaviorof f(x).(c) Find all local extrema and the...
- Q Given r(t) = <2 cos(t), 2 sin(t), 2t>. • What is the arclength of r(t) from t = 0 to t = 5. SET UP integral but DO NOTevaluate •...
- Q What's the difference between numerical method tocalculate differential (backward, central, forward)? At whatcondition do I have to use forward over central and backward, etc?If there's boundary condition that permits the...
- Q When solving a system of equatios using the additio orsubstitution method, how can you tell if a system has infinitelymany or no solutions? What's the relationship between the graph inthese...
- Q Consider the vector field F(x,y,z) =?2xycos(z) +1,x2cos(z) +zeyz,yeyz?x2ysin(z)?.Use the component test to determine if F is conservative. If it is,find a potential function f.
- Q Find the general solution for the given differentialequation9y????27y??+4y??12y=x+4xe3x9y????27y??+4y??12y=x+4xe3xNOTE: Write your answer clearly in below type:yg=yc+ypyg=yc+yp
- Q For the cost and price functions? below, find?(?a) the? number, q, of units that produces maximum?profit;?(?b) the? price, p, in dollars per unit that produces maximum?profit; and?(?c) the maximum? profit,...
- Q f(x)=e^x/(3+e^x)Find the first derivative of f.Use interval notation to indicate where f(x) is increasing.List the x coordinates of all local minima of f. If there are nolocal maxima, enter 'NONE'.List...
- Q Let z = 4 - 4i. find the sixth roots of z and representthemin the plane.
- Q A bicyclist pedals at a rate of 120 rpm. The diameter of thepedal sprocket is 20 cm. The diameter of the rear wheel sprocket is8 cm. The diameter of the...
- Q Complete the following table: (Use Table 15.1) (Do notround intermediate calculations. Round your answers to the nearestcent.)FirstPaymentBroken Down Into—SellingpriceDown paymentAmountmortgageRateYearsMonthlypaymentInterestPrincipalBalance at end of month$150,000$30,000$120,0007%30$$$$
- Q Use the model for projectile motion, assuming there is no airresistance and g=32 feet per second per second.Determine the maximum height and range of a projectile fired ata height of...
- Q The balance in an investment account years t after the accountis opened is given by 7500(1.065t). Compute the average rate ofchange for 2.5 ? t ? 3.5. (Round your answer...
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