Q: Hello, please show all the work. Thank you
A: We will find the required radius of convergence and interval of convergence .
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A: we can find general form of a function. ∫xn dx = xn+1n+1+C .
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Q: 2. In each item, give the standard equation of the circle satisfying the given conditions. a. center…
A: as per the rules we are supposed to answer only the first question and rest other can be reposted.
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A: The given two numbers are x and y such that:x-y=50
Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…
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Q: (a) y" + y = cos(x); y(0) = 1, y'(0) = -1.
A: Given
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Q: Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B
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Q: Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If…
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Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…
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Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…
A: Given function y= f(x).
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A: Given query is to find series converges or diverges.
Q: Exercise (3): Use the Laplace transforms to solve the given initial value problems. (1) y' +6y=et,…
A: according to bartleby guide line we do only first part of multiple questions 1) y'+6y=e4t…
Q: Represent f(x) = cosx. as the sum of its Taylor series centered at π/6.
A: we will find the required taylor series .
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A: Derivative
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Q: 1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x)…
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Q: the rectangular equation if r = 4 cos 0 + 4 sin 0
A: Given query is is to find the rectangular equation.
Q: Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²
A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.
Q: Integrate. 4 /(-5e²+) de = 7 dx ? Choose 1 answer: A -5+ In 4 +C -5+4 ln x + C O-5e + In 4 + C O-5e…
A: Given query is to find the integral.
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A: Given integral I=∫xx2+2x-3 dx
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A: The objective is to find the gradient of the functionat the given point.
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A: We need to find out the amount of paint that is needed to apply.
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Q: x+y+z = -3 -7 2x - 2y-z = −7 -3x + y + 5z = 5
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Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…
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Q: Suppose f''(x) = 42x + 16e-4x, ƒ'(0) - 14, and f(0) = - 9. Then f(x) =
A: See this solution in below.
Q: Compute the partial sums S₂, S4, and So. S₂ = 6 + 6 +
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Q: A small lake is stocked with a certain species of fish. The fish population is modeled by the…
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Q: Let y = ln(x² + y2). Determine the derivative y' at the point (-√e6-36,6). y'(-Ve6-36) =
A: To determine the derivative of the given function at the specified point.
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Q: 4. Answer true or false. The interval of convergence for (x+4) is (-7, -1). 3* k=1
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Q: A marlin swims at a constant rate. The table shows the proportional relationship between the time in…
A: Find the constant
Q: Use Laplace transforms to solve the initial value problem: y" - 10y' +9y = 5t, y(0) = -1, y'(0) = 2
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- In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1 for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.)The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in millions of dollars. Find dQ/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made.The crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x) = 51500x4.14 + 1.09 where x is the blood alcohol level as a percent (0.01 ≤ x ≤ 0.15). Find and compare dR and ΔR for x = 0.08 and dx = Δx = 0.006. [Note: x ≥ 0.08 defines "driving while intoxicated" and R(0.08) = 2.6 means that such a driver is 2.6 times more likely to be involved in an accident than a similar driver who is not impaired.]† dR = ΔR = The reproduction function for a whale is estimated to be f(p) = −0.0005p2 + 1.02p, where p and f(p) are in thousands. Find the population that gives the maximum sustainable yield, and the size of the yield. population: size of the yield: The crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x) = 51500x4.14 + 1.09 where x is the blood alcohol level as a percent (0.01 ≤ x ≤ 0.15). Find and compare dR and ΔR for x = 0.08 and dx = Δx = 0.006. [Note: x ≥ 0.08 defines…
- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYShow that an investment that pays out R dollars per year continuously for T years has a PV of R(1 −e−rT )/r.John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID cases is increasing at x = 10 tents and dx/dt=1 tent per day, given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases, while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding. Show what should be the solution to this problem of John.
- Can you find the amount of salt A in the tank at any time t?11.Suppose that during a controlled experiment, the temperature in a test tube attime t is rising at a rate of 6t^2+2 degrees centigrade per minute. If the initialtemperature is 20°C, what is the temperature in the test tube after 10 minutes?If the geometric mean of two observations is (1/n) times their harmonic mean, prove that the rate of the two observations is: ( 1+✓1n²) : ( 1. ✓1- n²)?