12. The diameter of a tree, measured in feet, can be 14 modeled by the function d(t) 1+0.5e04(1-8.5) where t is in years. (a) According to the model, what is the initial diameter of the tree? (b) What is the diameter of the tree when the tree is 3 vears old? (c) After how many vears will the tree

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: . Solve the following system of equations with the Gauss-Jordan elimination method. 4x, + 3x2 + 2x,…

A: The solution is given as

Q: For items 9-10. Two coins are flipped then a die is rolled. 2ennib ynem wor 9. Which of the…

A:

Q: Sketch the region A = {(x,y)|(ys3*)^(y2x²)} .

A:

Q: Express the function f in terms of the unit step function: sin(2t) 0st 2n.

A:

Q: 11. solve the following differential equation. 1 dy y = 4(x - 3)y X-3 dx

A:

Q: FIND INVERSE LAPLACE USING PARTIAL FRACTION:) s²-s+3 s³ (s+5)(s-2)

A:

Q: Suppose that dP/dt - 0.18P(t) represents a mathematical model for the growth of a certain cell…

A: Given that dP/dt = 0.18 P(t)  Where P(t) is the size of culture at time t.

Q: (a) A 5-year loan is amortized with semiannual payments of 200 each, starting 6 months after the…

A: Part(a) i It is mentioned that 5-year loan is amortized with semi-annual payment of 200/- each…

Q: 10. solve the following differential equation. dy +y= e*y 8 dx

A:

Q: 4. Find a general solution to the differential equation using the method of variation of parameters.…

A:

Q: Use variation of parameters to solve the given nonhomogeneous system. dx 2х - у %3D dt dy 3x 2y + 8t…

A:

Q: 6. If the cost function for a commodity is C(x)= +4x+4x+18. 90 a. Find the marginal cost of making 4…

A:

Q: 11) 2(1-e Ans. F(s)- e ") Rnd the Laplace Tvans Form 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Let C be a piecewise curve consists of the following four line segments. First line segment has…

A:

Q: simplify: i^1997 + i^1999 (in complete and detailed solution please thank you!)

A:

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: 3 , evaluate the improper integral dr. r² + x – 2 Does it converge or diverge? Justify your claim.

A: An integral is convergent if it has a finite value and its said be divergent if its value tends to…

Q: an = In(n + 1) – In(n + 2), n e Z>0 = NU {0}. %3D Justify whether the sequence {an} converges. If…

A:

Q: Find all subfields of Q(19). List each subfield as Q(a) for some a E Q(G19)

A: Please find the solution in next step

Q: [(s-2)²+b²1 (s-b)2 i. F(s) = In j. F(4) = ln[1+] 2bs s²+2b2

A:

Q: G) Xdy +ydx = Xプ dx %3D

A:

Q: Find the arc length of the graph of r(t) = ev2li+e¯v2lj+2tk, 0<t < v2 In 9 NOTE: Enter the exact…

A:

Q: Use RK 4 with h = 0.05 to approximate in four decimal places the value of y(1) by solving the…

A:

Q: 8. Which of the following is a factor of x+3x² - 4x – 12? a) X -6 b) х-4 c) x-3 d) х-2 9. When…

A:

Q: Find the average rate of change of the function over the given inte- f(t) = 7 + sin t а. 2 T 3n b. -…

A:

Q: T(V1, V2, V3) = (v2 - V1, V1 + V2, 2v,), v = (2, 3, 0), w = (-13, 1, 14) (a) the image of v (b) the…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 6. Let F(x, y,z) with outward-facing normal vectors. Calculate ff, F -d S. (In case it is helpful, a…

A:

Q: Q3.() Convert follosing ODES to a a 9,

A:

Q: (27>1>0) (()=47 -t, (0<t<2x)

A: Definition: The Laplace transformation of ft is given by Lft=Fs=∫0∞e-stftdt Given  ft=4π2-t2,…

Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

A:

Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

A:

Q: 5. Find a general solution to the given equation. y''"- 6y" + 12y'-8y 8 e 2x Find a general solution…

A:

Q: Solve the Laplace Transform of the equation f(t)= sin3t/t

A:

Q: Question 3 For the points A(8,12), B(8,8) C(12,8), and D(13,15), determine i) The equation of the…

A:

Q: Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. 13767…

A: If the digits of a decimal number are repeating after the decimal, then it is represented by a bar…

Q: Prove that a subset of a metric space is closed if and only if contains all its cluster points. Let…

A:

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: Preimage of Dxf

Q: : FaF = 315.4312 N (Teasile) ŹFi=o > FGF Cos67.5+ FaHCos67.5+Fg0 =0 Fao =- 315.431a Cos67.5-207.192…

A:

Q: Let S: R³ → R³ linear transformation with correspondence rule S(α, β, γ) (2α, -β+ γ, 3γ) and T:P2 →…

A:

Q: 3. A particle is moving in a straight line according to the position function s(t) = t- 6t +9t + 5,…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: The complete tripartite graph K,, consists of three sets of vertices (of sizes r, s and t), with an…

A: Given that The complete tripartite graph Kr,s,t The graph of K2,2,2 in the following graph Hence,…

Q: Solve the given initial value problem. y"'" - 12y" + 52y' – 96y = 0; y(0) = 1, y'(0) = 0, y"(0) = 0…

A:

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…

A:

Q: For an interest rate of 6% p.a. Determine the effective interest rate if it is compounded monthly.

A:

Q: the following: Suppose a differential equation L[y) = 0 has characteristic equation (r-2)(r – 1)³…

A:

Q: 1. Which statement is TRUE? boultious A. A true or false question has one possible outcome. B.…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 7. Let C be the curve consisting on the line segment from (2,1) to (4,4), and then the line segment…

A:

Q: 3a. Inflation is expected to average 2.4% per year for the next 44 years. How much money will be…

A: Given that,Inflation is expected to average 2.4% per year for the next 44 years.The money required…

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

A: