Nonlinear programs. Explain your work clearly and justify your conclusions. Solve these In some o...
1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y. Clearly show your work and thinking. dy 2 + y2|and difference between the meanings of the symbols d and x2+yj 4. Explain the difference between writing. That is, explain the dx dxdx 1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y....
In problems 1-4, apply the KKT theorem to solve the following optimization problems. Be sure to check for the possibility of feasible points that are not "regular points." Justify your conclusions about which "suspects" are minimizers and maximizers. 2. min, maxf2-4-0) In problems 1-4, apply the KKT theorem to solve the following optimization problems. Be sure to check for the possibility of feasible points that are not "regular points." Justify your conclusions about which "suspects" are minimizers and maximizers. 2....
Make sure you show your work clearly, use calculus, and box your final answer. No work = No credit. You may use a calculator, DESMOS, notes, and book. 1. (8 points) Let y = -x3 + 6x2 - 5 a. Find all critical numbers for f(x). b. Find the absolute extrema on the interval [-1, 3). Clearly label your answers. c. Find the absolute extrema on the interval [1, 3). Clearly label your answers. 2. (6 points) Let y =...
2. Determine if the proposition below is true or false. Justify all your conclusions. If a biconditional statement is found to be false, you should clearly determine if one of the conditional statements within it is true. In that case, you should state an appropriate theorem for this conditional statement and prove it. Proposition 1. For all integers m and n, 4 divides (m2 – n) if and only if m and n are both even or m and n...
Solve the following problems. Show your work clearly. Question 1 (25 points): Let f(x) = x5: (A)Determine whether fis one-to-one by using a geometric method. (B)“The inverse function of f(x) = xs is equal to the inverse function of f(x) = x5 +6" Is this statement true or false? Justify your solution steps. (C) Solve the equation ex®+6 = 7. Determine whether the solution changes or not when ex* = 7. Compare your solution steps by using the properties of...
Show your work. Clearly identify your answer. Justify every step. 1. (5 points) The function A(t) graphed below gives the balance in a savings account after t years with interest compounded continuously. The second graph shows the derivative of A(t). (Pay attention to the units on the graphs.) u y 350 14 250 y = A(t) 10 y = A'(t) 150 6 50 2 t t 10 20. 30 10 20 30 (a) What is the balance after 20 years?...
please solve and show work clearly for both a and b Use an appropriate substitution to solve the given differential equation. 4. a) (x3y) dx - (3x +y) dy = 0 b) y(x +y+ 1)2 dr
Show your work & write clearly Problems: 1. Solve for the unknown variable d in the following expression using the variables for a, b, and c. 4-서서 rm 2. In the problem above, what is the value for the variable d given a- 1, b 2 and c 4? Solve for the variable μ ( 12" letter of the Greek alphabet, pronounced "mu") in the following expression using th variables for N, m, a, g and the angle θ ("theta")....
Show your work. Clearly identify your answer. Justify every step. 1. (5 points) C(x) = 0.0123 - 1.222 +53x gives the cost, in thousands of dollars, to produce u thousand items. (a) Find a formula for the marginal cost. (b) Find and simplify C'(2). What does this number represent? Include units in the description. 2. (5 points) Let f(t) be the temperature of a cup of coffee t minutes after it has been poured. Interpret f(4) = 120 and f'(4)...
Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will also rate your answer. Thank you kindly! y′′−2y′−3y = e^4t, y(0) = 1, y′(0) = −1.