Write the sum in expanded form \displaystyle \sum_{k=6}^{10} x^k. Consider the vector field F(x, y, z) = 2xye^z i + yze^x k (a) Find the curl of the vector field. Determine if the series converges or diverges. A) 3 g... For each of the following, identify the exam score that should lead to the best grade. A steel tank is filled with nitrogen gas at a pressure of 2.30 atm. x = 6 + 12t^2, y = 5 + 8t^3, 0 leq t leq 4. No... Give the conversion factors for each of the following. {2(x+5)} / {(x + 5)(x - 2)} = {3(x - 2)} / {(x - 2)(x + 5)} + 10 / {(x + 5)(x - 2)}. 2.24% B. \boxed{\space}, Plot the given functions step by step: 1) y = 3x 2) y = -4, Plot the given function step by step: {{x + 5} / 2}, Plot the given function step by step: y = x^2 + 2x + 1, Plot the given function step by step: y = cos (x / 2). Limit as y approaches 1 of (1/y - 1/1)/(y - 1). Mann-Whitney U-test 2. A) Find the radius of convergence, R. B) What is the interval of convergence? Solve the given boundary-value problem. She wants to order sets of five weights totaling 121 grams for each lab station. All other trademarks and copyrights are the property of their respective owners. The mass of a proton is 1.67262 x 10^{-27} kg, and the mass of an electron is 0.00091 x 10^{-27} kg. Factor the following. Find the angle between the planes x + y -z = 2 and 2x + y + 3z = 1. The bottle cap is designed to withstand a pressure of 7.2 atm. Do you agree with this student? Suppose that a coin biased to heads, P(head)=0.65, is flipped 20 times. \left ( 1.1 cm^2 \right ) (0.33 m) =, Decide whether the proposed division of measurements is possible. What is the average of the function g(x) = [x(ln x)^2]^(-1) over the interval x is element of [e, e^2]? Find the average value of the function h(x) = 6\cos^4 x \sin x on the interval [0, \pi], Find interval of convergence and radius of convergence of the series \sum_{n=1}^\infty \frac{x^n}{9n-1}. A multiple-choice test consists of 24 questions with possible answers of a, b, c, d, e. Estimate the probability that with random guessing, the number of correct answers is at least 9. Sum of (2^n (x - 1)^n)/(n) from n = 1 to infinity. If the following is computed, (6 meters) times (39 inches per meter) div (12 inches per foot), what conversion is being performed? Evaluate the triple integral \iiint_E 8ydV, where E is bounded x = 0, y = 0, z = 0, and 2x + 2y + z = 4. Given x is the midpoint of yz, given xy = 6x + 4 and yz = 40, find the value of x. c. Find the probability that all... For two independent events, A and B, P(A) =. Solve the differential equation 2y'' -5y' -3y =0 with the initial conditions y(0) = 1, y'(0) =10, Find curl F(x,y,z) , when F(x,y,z) = x^3yz i +xy^3z j + xyz^3 k, Evaluate the integral \int \frac{1}{64x^2-9} \,dx. 0.275 moles b. Tuchinsky formulated that the velocity of air... Find the indefinite integral. Find the marginal profit at $6,000. How many molecules (not moles) of NH3 are produced from 3.86 \times 10^{-4} g of H2? f(x)=x^5 ln(x) Graph the function. Find the linearization of the function z = x\sqrt y at the point (2,64), Convert from rectangular to polar coordinates: (x^2+y^2)^2 = x^2y. f(t + 1). If \sum_{k = 1}^{n}a_k = 9\ and\ \sum_{k = 1}^{n}b_k = 12, \text {find} \sum_{k = 1}^{n}(a_k - b_k). Find the function represented by the following series and find the interval of convergence of the series. If your car's gas mileage is 35.0 mi/gal, how many liters of gasoline would you need to buy to 142-km trip in Europe? 2. r^{2} = 25 cos 2\theta, Graph the polar equation. Evaluate the triple integral \iint_E (x - y)dV, where E is enclosed by the surfaces z = x^2 - 1, z = 1 - x^2, y = 0, and y = 2. An acetaminophen suspension for infants contains 80 mg/0.80 mL. The internal pressure on a bottle of soda is 5,520 torr. Two years ago, the city of Long Beach introduced the "Lawn to Green" program. Calculate the following unit conversion with the values d = 6; f = 6; g = 1; h = 3. What is the pressure in atmospheres? In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of 20. Consider an experiment in which equal numbers of male and female insects of a certain species are permitted to intermingle. Twenty more than four times a number is equal to the difference between -71 and three times the number. t*(dy/dt) + 7y = t^3, t greater than 0, y(1) = 0. In each case, explain your answer. Find a particular solution to the non-homogeneous differential equation y''-4y'+4y=e^{2x} . a) You decide to charge 24 dollars per ticket. Input A for absolutely convergent, C for conditionally... Test the series for convergence or divergence. b. Extract the possible factors from this radical: \sqrt[3]{x^{17}y^{27}}. Find an equation of the set of all points equidistant from the points A(-1, 6, 3) and B(5, 3, -3). Sum of 1/(4n^2 + 1) from n = 1 to infinity. An empty crucible has a mass of 25.70g. How many gallons will be needed to spray a 40 feet by 60 feet lawn if the recommended rate of spray solution is 20 gal/acre? You can spend the money on either TV commercials or radio commercials or a combination of both. To better understand the epidemiology and clinical outcomes of diabetes mellitus, an investigator screens the workforce of 1500 adult employees at a large retail business. r1/r2 = sqrt(M2/M1). Discuss how relevant information is used to make short-term decisions and how pricing affects short-term decisions. Suppose an individual smokes one pack of 20 cigarettes a day. What is the probability that you will lose this game? Find the expansions of (2 x + 1) (2 x - 3) (2 x + 5). b. How many cubic centimeters (cm^3) \text{ are } 9.41\times 10^7 gallons (gal) of water? A 3-kg baby required an epinephrine (adrenaline) treatment that specifies a 0.010 mg/kg dose from a vial with a 1 mg/mL concentration. Consider the following function. The following table shows the subscribership of cellular telephones in the United States (in millions) for even-numbered years between 2000 and 2008. r = e^(8theta), 0 less than or equal to theta less than or equal to 2pi. Consider the vector field F(x,y,z)=(4z+3y) i+(5z+3x) j+(5y+4x) k . Eliminate the parameter t to determine a Cartesian equation for: x = t^2, y = 8 + 4t. Johnny is designing a rectangular poster to contain 16 in^2 of printing with a 1-in margin at the top and bottom and a 1-in margin at each side. The energy content of a bar of chocolate is 120.0 Cal. D) 12.5. What are some examples of Godel's incompleteness theorem in biological systems? Use the information in this table to find the indicated probability. Find the angle between the velocity and acceleration vectors at time t=0 . r(t) = (10 + ln(sec \ t)) \ i + (8 + t) \ k, \frac {-\Pi}{2} < t < \frac {\Pi}{2} \\r(t) = (3 + 9 \ cos \ 2t) \ i - (7 + 9 \ sin \ 2t) \ j + 2 \ k, Explain: I study engineering but I have a problem with mathematics, always when it come to mathmatic I struggle how to overcome such a problem. Find the interval of convergence of the following power series. The power output P, in watts (W), decreases at a rate proportional to the amount present; P is given in the equation P = 52e^(-0.0039t) where t is the time in days. In a study of brand recognition, 821 consumers knew of Walmart, and 15 did not.
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