Factor: y= (x8 - 3x7 + x6 + 21x5 - 70x4 + 94x3 - 60x2) / (x6 - 7x5 + 14x4 + 4x3 - 37x2 + 11x + 30) **If one of the roots is 1 + i
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Find the equation of the line through the y-intercept of y=7x5−1+x6−8x3 and the x-intercept of y=3x+6.
x7=12KN , x8=19kN/m, x4=4m, x5=39m, x6=5m, Q2. In the 3-span beam shown in the Figure 2, the support at C settles by 15 mm. Using the method of moment distribution method, a) Calculate joint moments (10 marks); b) Draw the bending moment diagram (10 marks); c) Calculate the supports' vertical reactions (10 marks); and d) Draw the shear force diagram (5 marks). Hint: For the calculation of Fixed End Moments, you can use the principle of superposition to add the settlement-related...
ODE: y' + tanx * y = sin2x Solve this ODE by using Integrating Factor Please write neatly so I can follow computation. Thank you!
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
The concentration of salt in a fluid at (x,y,z) is given by F(x,y,z) = x6 + y3 + x2z2 mg/cm3. Suppose you are at the point (−1, 1, 1). (a) In which direction should you move if you want the concentration to increase the fastest? Give your answer as a vector. (b) You start to move in the direction you found in part (a) at a speed of 7 units/sec. How fast is the concentration changing? Give an exact answer.
Can anybody show me how to solve this please? I am struggling with power series. Thank you (1 point) Consider the function 1 – x5 , 3" x2n, you would write en=0 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were 1+ 3x2 + 32 x4 + 33 x6 + 34 x8. Also indicate the radius of convergence. Partial Sum: 1+5x^5+25x^10 Radius of Convergence:
Consider the three stocks (Stock X, Stock Y and Stock Z) that have the following factor loadings (or factor betas). The zero-beta return (A): 3%, and the risk premium are:A : 10%入: 8%. Assume that all three stocks are currently priced at $50 Factor 2 Loading StockFactor 1 Loading 1.2 0.55 0.85 0.1 0.5 0.35 All rights reserved. 8 Calculation Problenm What are the expected returns for stock X, stock Y, and stock Zz 1. 2. What are the expected...
By show it means prove not solve for the if again Thank you! (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1) is given implicitly by the equation F(x, y) c where c is a constant and where F(x, y) = e-r2(y2(z"y + 2)-1 ) (a) Show that eis an integrating factor for the DE (b) Show that a general solution y y(z) of the DE (1)...
Please show your works (4) (30 POINTS TOTAL) X and Y are discrete random variables; X has sample space 1,2} and Y has sample space 10, 1). Table 1 shows the joint distribution of (X, Y) TAbLe 1. Joint p.m.f. lC 4 (abcdef) Q搜索 (a) (5 points) Compute the marginal distribution of x and y, i.e. complete the following table 1 2 p(y) 1.3.4 p(x) (b) (5 points) Calculate the expectation of y, E[y] (c) (5 points) Calculate the conditional...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....