The element lithium naturally decays at a continuous exponential rate of 1.9% per month. If a sample of lithium starts out at a mass of 549 grams, what will its mass be in 2 years?

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Find the limit

Q: 17. Find the volume of the solid formed by revolving the region bounded by the graphs of y = y = 2…

A: The region is bounded by y=12x-22 and y=2.

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

A:

Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2) for…

A:

Q: If the integral ∫4−4∫√16−y2−√16−y2∫√16−x2−y2−√16−x2−y2(x2+y2+z2)dzdxdy was converted into an…

A: To convert in spherical coordinates.

Q: 2. Given a function f(x) = (x - 1)²(x - 2)³. Discuss its relative maximum and minimum points, the…

A:

Q: Determine whether the equation contains direct, inverse, or joint variation between the variables. 2…

A:

Q: State the possible rational zeros for each function 1.) f(x) = 3x²+2x-1 2.) f(x)=x²-64 3.) f(x)=x² +…

A: Since you have posted multiple questions i can do first three question as per our company…

Q: Find ܐܐܝ ܐܝܐ ܩܐܐ DESE 4y +x=7y

A:

Q: Let f(x) = In (x^5) f'(x)=? f'(e^4)=?

A: Given function is fx=lnx5 We need to find solution for following cases, f'x f'e4

Q: 4 · 2 - 3

A: 4·2-3

Q: Question 5 Your job is to determine a location for a Y-junction that minimizes the total distance to…

A:

Q: Calculate the integral of f(x, y, z) = 9x² +9y² + 28 over the curve c(t) = (cost, sint, t) for 0 ≤ t…

A:

Q: (i) Use the linear approximation formula or Ay≈ f'(x) Ar f(x+Ax) = f(x) + f'(z) Ar with a suitable…

A: NOTE : Since you have posted multiple questions with multiple subparts, we will provide the solution…

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A: NOTE: Refresh your page if you can't see any equations. . ................(1) compare this DE with…

Q: 49. Suppose that ƒ(5) = 1, ƒ'(5) = 6, g(5) = −3, and g'(5) 2. Find the following values. (a)…

A: I am attaching image so that you understand each and every step.

Q: Use the properties of logarithms to expand log5 .xy8 1. log5 x + y log5 8 2. log5 x 8 log5 y 3. log5…

A:

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Given :limx→∞9x-52x+9

Q: 12. Find the volume of the solid formed by revolving the region bounded by the graphs of y=√√√x-2, y…

A:

Q: 1. Find the vertical and horizontal asymptotes for f(x) = lim f(x)? 3x²+x+7 x²+2x-15 What is

A: Let's find vertical and horizontal asymptotes.

Q: Radioactive Decay Phosphorus-32 (P-32) has a half-life of 14.2 days. If 300 g of this substance are…

A: As we know that the radioactive decay is modelled by Q(t)=Q0ekt, where Q0 is the initial amount of…

Q: Find the derivative of the function. y = (4t - 1)(3t - 5)-1 dy dt =

A:

Q: State the quadrant(s) in which an angle in standard position with measure 8 lies under the given…

A:

Q: Determine whether the vector field is conservative and, if so, find the general potential function.…

A:

Q: Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux…

A: Let the partial differential equation be AUxx + BUxy + CUyy + DUx + EUy + F = 0 If B2−4AC<0, then…

Q: Question 1: Find the exact area of the surface obtained by rotating the curve about the x-axis.…

A:

Q: Adriana has an exercise regimen at the local gym that includes using a treadmill, stair machine, and…

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A:

Q: A particular solution of x²y' - x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x)= xex

A:

Q: lim (x-7) cotx X-T

A: To find out the limit.

Q: 1092(x²-x-2)=2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. For what value(s) of x is the function f(x)=x2-27 discontinuous? What kind of discontinuity is…

A: Note: As per our Guidelines , we can solve first question . Please repost remaining questions.

Q: Ө 3 8

A: Topic - Angles We are given Length of arc=8 Radius=3 Angle (in radians)=(length of arc)/(radius)

Q: 3) Solve the following using the substitution rule. Show all steps in Find [30x(3x²-1)dx

A:

Q: да Use the change-of-base formula to determine an expression in terms of a common logarithm and a…

A: As per the rules we are supposed to answer the first part and rest can be reposted.

Q: The graph of y = f(x) represents the amount of water in thousands of gallons remaining in a swimming…

A: To determine the initial and final amounts of water in pool.

Q: 11. Use the graph of f given below to find f(8). -10 -10 10

A:

Q: a) Set up the integral (2² - ry)dA, where S is the region between y = x and y = x² usir dydx. b) Set…

A:

Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

A:

Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

A:

Q: SECTION (d) 7. Find the volume of the solid formed by revolving the region bounded by the graphs of…

A:

Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

A:

Q: after both sides are intergrated are u squaring it? what is the symbol above the y and x

A:

Q: The inverse Laplace transform of F(s) = f(t) Use step (t-c) for uc(t) = -98 e s2 + 18 - 2 is

A:

Q: Rewrite terms of logg (3). logg (9) O 1. logg (3) logg (3) 2. - logg (3) log8 (2) 3. logg (3) logg…

A: Topic = Algebra

Q: Consider the periodic function f(t) defined as follows: Sketch a graph of f(t) over several periods…

A: Compare above equation to put the values in first two blanks.

Q: Supposef is continuous on [11, 14] and differentiable on (11, 14). If ƒ(11) = 5 and f'(x) ≤ 10 for…

A: Let's find largest possible value of f(14)=35.

Q: Fine powdered icing sugar pours down from a dispensing chute at a constant rate of 3 m^3/min. The…

A:

Q: 4) Solve the following using the substitution rule. (show enough work to support your answer) 8x 10…

A:

Q: t-2 r(t) = (√√8 — t, ¹-², t cost). et A) Find the domain of r(t). B) lim r(t)=? t→0 c) [ r(t)dt =?

A: