a.      Find the values of a, b, c and dQuestion 2 Draw the minimum spanning tree using the vertices given in the diagram belowQuestion 3 By choosing a suitable substitution, find the exact value ofThe above diagram shows a sketch of part of the curve C with equation y=x ln …

Question 1 Solution In the above given set of the edges first we select the edge by the least weight that is Now from the remaining edges  is a next edge which is also selected, and thus it has minimum weight now. After this, we will select edge  because it has …

1)      State out steps of the derivation of element equation for three-dimensional elasticity problem. [16 marks] Given Data:1)      Draw tetrahedral element on a graph paper with proper coordinates for each corner.3) Evaluate the element stiffness matrix. a) Determine element volume V.   b) Calculate determinant for each α, β, γ, and …

Maximum depth = -500m Time =t= 10 secNow take equation 2 and equation 3 

Considering the question, we can select any value for a and b13. Choose any value for 𝑘 to synthetic division divide 2x3 – x2 + x + 4 by (x +k) bysynthetic division   Steps Outcomes Step 1 Coefficient of the numerator polynom   2 -1 1 8     …

Question 8Now using the equation to calculate the area enclosed under the graphs and it gives

Introduction of Small Signal Stability Small signal stability is a capacity of power system which also maintains the synchronism below the small disturbance. Therefore the disturbance is efficient for small linearization of the equations of the system which is permissible for the analysis of power. The small-signal stability also depends …

Title: Prove directly that If a is any odd integer and b is any even integer, then 2a + 3b is even.Math APAAs we know, “a” is odd integer and therefore “a” for some integer becomes, The even integer is “b” therefore for some integer “s” it becomes Substituting the …

Using recursive formula to find the next five termsa_1  = 1Second term n = 2a_2   =  ( 1)/(1 + a_( 2 - 1) )a_( 2)  =  1/(1 +〖 a〗_( 1) )a_2  =( 1)/(1 + 1)   =  ( 1)/( 2)Third term n = 3a_3   =  ( 1)/(1 + a_( 3 - 1) )a_3  …

Answer x=3t+1;      y=3-2tAt  t = -2; x=3(-2)+1;      y=3-2(-2)x=-5 ;      y=7At  t = -1; x=3(-1)+1;      y=3-2(-1)x=-2 ;      y=5t x y-2 -5 7-1 -2 50 1 31 4 12 7 -1Sketch the curveRectangular-coordinate equationx=3t+1   y=3-2t3t=x-1t=(x-1)/3Put the value of t in y equation       y=3-2t  …

Mathematics is a great subject as it contains various dynamics that define the laws of nature. The variables in this subject are very complex and challenging. There are various benefits and drawbacks of this subject. But in this research, the growing anxiety of the students will be studied extensively as …

Let’s select a point (0,1) in above equation;                                                                   As from the above solution we say that it is …

                                                                                                    …

                                                                                    Solution:Determine the reactions from free body diagram of the …

1.       Answer the following questions about study designa.       What are the basic principles of experimental design? Briefly explain.There are three basic principles for the experimental design that include, Randomization, replication and the last principle is the local control. In randomization that is random process in which all the treatments are …

 1-      The minimum reflux ratio2-      The minimum number of equilibrium stages3-      The number of equilibrium stages required at 1.5 times the minimum reflux From Text:  B) Assume that a side stream having 70 mol% carbon disulfide is required with a flow of half the distillate flow.1-      Determine the number of equilibrium …

Encryption AlgorithmsSeveral forms of security technologies are available but the mostly used for the security is encryption and everyone should know about it. This is very interesting technique by scrambling data this technology work so by unintended parties it is unreadable. Here we talk about the three encryption algorithms.Triple DES:On …

The quality index is defined by; The quality index is the empirical variable utilized to relate the gear tolerance for the performance. The significance of the quality index is that, it recognized as imperfect but have the valuable quantity, and scatter in most evaluations of the gear performance. There is …

                                          

                           1.              The effect of fouling on my heat exchanger design is that it increases the total efficiency of the system. As the fouling effect increases as a result the design of heat exchanger is able to drawn more …