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- solve this answer is 96252.972 y < -1Sx + 3000 y < 5x In the xy-plane, if a point with coordinates ( a, b) lies in the solution set of the system of inequalities above, what is the maximum possible value of b ?arrow_forwardThe Derivative and Differentiationarrow_forwardThe temperature on a sheet of metal is known to vary according to the following function: T(z,9) – 4z - 2ry We are interested to find the maximum temperature at the intersection of this sheet with a cylindrical pipe of negligible thickness. The equation of the intersection curve can be approximated as: 2+-4 Find the coordinates for the location of maximum temperature, the Lagrangian multiplier and the value of temperature at the optimum point. Wnite your answer with two decimal places of accuracy. HINT: IF there are more than one critical point, you can use substitution in the objective function to select the maximum. Enter your results here: Optimum value of z Optimum value of y Optimum value of A Optimum value of Tarrow_forward
- Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −2.4, 2.1), Q(1.8, 0.3, 2.1) vector equationr(t)= parametric equations (x(t), y(t), z(t)) =arrow_forwardExample: Sketch the graphs of the following functions. 1. y=sin2x So w nY oy shrin ILYarrow_forward(3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the exact solution, find the values on all sides, (b) discretize the domain into 16 elements and 15 evenly spaced nodes. Run poisson.m and check if the finite element approximation and exact solution matches, (c) plot the D values from step (b) using topo.m. y Side 3 Side 1 8.0 (4) The temperature distribution in a flat slab needs to be studied under the conditions shown i the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I all cases assume the upper and lower boundaries are insulated. Assume that the units of length energy, and temperature for the values shown are consistent with a unit value for the coefficier of thermal conductivity. Boundary Temperatures 6 Case A C D. D. 00 LEGION Side 4 z episarrow_forward
- 4. It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant. Perform this rewrite in order to identify the value of k in your case. 7. う be=17 19arrow_forwardThe solution sets as intervals of the following inequality ǀ 3y - 7 ǀarrow_forwardFrom the following graph identify the steady-state maximum force. 1.2 1 0.8 0.6 0.4 0.2 0 Electical Power 1 Force vs. Time 2 Time (s) m 4 5arrow_forward
- The following integrand is the product of an odd and an even function. What is the result of the integral ſ²2₂t² sin(t) dt. -2 1 B. Ao ∙1 C. Ao = 5/6 D. A₁ = 0 A. Ao Hint: Integration property of odd/even functions in symmetrical domains. - = E. None of the abovearrow_forwardAn integer is chosen at random from the first 100 positive integers. Find the probability that the chosen integer is Multiple of 10: (a) 99/100 (b) 0 (c) 10 (d) 1/10arrow_forwardAs the potential across the resistor increased, the current through the resistor increased. If the change in current is proportional to the voltage, the data should be in a straight line and it should go through zero. In these two examples how close is the y-intercept to zero? Is there a proportional relationship between voltage and current? If so, write the equation for each run in the form potential = constant x current. (Use a numerical value for the constant.)arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
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