Question 3 (10 points) In the following multivariate function, find fi an d f2 and f12....
(14) Given a sequence of integers {fi,f2 /. defined by the following recursive function f (n)-., n e N such that s(2) 5, Evamine the sruture of this sequence and then compute J, in closed-form.Prove by using strong induction as discussed in class that your function f, is indeed correct.
(10 Points) Realize F, and F, using a PLA. Fi(a,b,c,d) = m(1,2,4,5,6, 8, 10, 12, 14) F2(a, b, c, d) = m(2, 4, 6, 8, 10, 11, 12, 14, 15)
5. Two forces Fi 2i+3j-4 k N and F2+2j +6 k N are acting on a particle simultaneously. Find out the (10 pts.) resultant force. Calculate the work done if the displacement of the particle be d-3 i + 2 j-k m.
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
Problem 1. Find the transfer function of: *10-fi) - arv(o)-e69-L v(e)= cx(o)=[-1 A 1981-C1-4 + |x2]
Statics problems Question A2 The plane truss shown in Figure A2 is supported at points A and J. -30° and the external loads are Fi 1.5 kN and F 3 kN. Draw the free body diagram of the truss. Determine all the reactions at the supports or, if this is not possible, explain why. a) Calculate the internal forces in members CF, EH, GH and HI, stating whether they are in tension or compression. b) (12) Are members CF and...
3 Points Question 3 3 cos(20) Find the PERIOD of the following function: Y- TE 1 210 3 3 Points Question 4 Verify the following identity using the guidelines for the verification of trig identities. You have to write all the steps to get full credit. (tan?x + 1)(1 - cos²x) - tan²x. Use the editor to format your answer 3 Points
(d) Translate the following statement into predicate logic: “Every function f :R → R can be written as the sum of an even function and an odd function.” You can use the notation fi + f2 to represent the sum of functions fı and f2, and the notation f1 = f2 to represent the fact that fi and f2 are equal. 2n izo (e) Let n € N, and 20, 21, ..., Q2n E R. Let f: R + R...
Let fi and f2 be functions such that lim e s f1 (2) = + and such that the limit L2 = lim a s f2 (x) exists. Which one of the following is NOT correct? O limas (f1f2)(x) = 0 if L2 = 0. limas (fi + f2)(x) = too if L2 = -0. Olim as (f1f2) (x) = too if 0 <L2 5+co. lim a s (f1f2)(x) = - it L2 = -. Which one of the following...
f Question 2 (10 points): Find the vertex of the quadratic function. Graph the function and label the vertex and the x- and y-intercepts with numbers or coordinates. Do not round the numbers: yx26x 3 Question 3 (10 points): Simplify the complex fraction