I I 34. Solve the following difference equations. State whether the terms are increasing, decreasing, or...
1. State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a) Y = K1/3L1/2 (b) Y = K2/3L (c) Y = K1/2 [1/2
Solve the initial-value problem y' = yx,y(1) = 4. Determine whether the sequence an = ne" is convergent. If convergent, find the limit. Determine whether the geometric series En=3 zi is convergent. If convergent, find the sum. Use the integral test to determine whether the series 2-1 is convergent or divergent. Determine whether the series Σ=2 na +4n+1 is convergent. n5+6 Determine whether the series 2n=3(-1)" is absolutely convergent, conditionally convergent or divergent.
For each of the following difference equations (i) obtain the general solution; (ii) solve an initial value problem: (iii) solve for the fixed point if it exists and indicate whether or not yk converges to the fixed point. For each of the following difference equations (i) obtain the general solution; (ii) solve an initial value problem: (iii) solve for the fixed point if it exists and indicate whether or not yk converges to the fixed point.
State for each of the following production functions whether it has increasing, or decreasing, or constant returns to scale (pick one for each). Show how you got your answer for each one of them. (i) Q = 3K3/5L2/5 (ii) Q = 12K2+5L2 (iii)Q = 8K+5L (iv) Q = 0.7(K0.4L0.9) (v) Q = min{4K,9L}
In your answer state: (a) whether the above series Use the Limit Comparison Test to determine whether the following series is convergent or divergent Σ n +5 3 nin +4 is convergent or divergent, and (b) which series did you compare with the series is divergent, compare with E1 nin the series is convergent, compare with E 1 2. n=in the series is convergent, compare with E 1 nain the series is divergent, compare with 21 nin 1 the series...
2) Determine whether the following production functions exhibit constant, increasing, or decreasing returns to scale (or none of these) a) Y=K+L^1/3 b) Y= aln(L) + bIn(k)
i. 1. Answer each of the following For each of the following differential equations, state the order of the equation and state whether it is linear or nonlinear. If the differential equation is linear, state whether it is homogeneous or nonhomogeneous dy + + xy = sin x dx 2 a. dx2 b. x6y(5) – x2y'" – (cos x )y – ex = 0 ii. Find the value(s) of m so that the function y = xº, x 0 is...
Please read the question and follow its directions as the way I solve this problem is important. Please show ALL work and also give an explanation to why it is convergent or divergent, that is also important. Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. Me 2 02 + 4n + 3 n = 1 convergent divergent If it is convergent, find its sum. (If an answer does not exist, enter DNE.)
I have dyslexia.. please circle answers.. I VOTE UP :) (1 point) Book Problem 27 Determine whether the following sequences are divergent or convergent. If convergent, evaluate the limit. If divergent to infinity, state your answer as "INF" (without the quotation marks). If divergent to negative infinity, state your answer as "MINF". If divergent without being infinity or negative infinity, state your answer as "DIV". Sequence on = ln(9m² +1) – In(nº +1), lim - (1 point) Book Problem 29...
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...