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- Find the critical points of y=(16-2x)(30-2x)x in an interval [0,8]How can I get rid of the highlighted x in this u-substitution problem?11.Show that if a11, a12, a21, and a22 are constants with a12 and a21 not both zero, and if the functions g1 and g2 are differentiable, then the initial value problem x′1=a11x1+a12x2+g1(t),x1(0)=x01x′2=a21x1+a22x2+g2(t),x2(0)=x02 can be transformed into an initial value problem for a single second-order equation. Can the same procedure be carried out if a11, …, a22 are functions of t?
- A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the path from 0(0. 0) to P(5, 4)?Suppose there are four cities at locations x1 = 2; x2 = 5; x3 = 9, and x4 = 11, requiring respectively Ni = 6; 2; 3; 7 visits, respectively. Suppose that the cost-per-mile to ship goods is $4 between x1 and x2, but $8 between x2 and x3, and $10 between x3 and x4. What is the cost of keeping the PDC at x = 6? What about at x = 10?How do I find problem e) in interval [0,2 π)?
- If (5,2) is a critical point for the function y= f(x) and f''(x) is + , what can we conclude regarding the point (5,2)?2. Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the first number and second number with a closed bounded interval of [1,10].4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?
- r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x) right arrow As x right arrow (-1)^-, r(x) right arrow As x right arrow (-1)^+, r(x) right arrowThe sum of all the critical numbers of the function f(x) = x4 - 10x2 is what?1)what is the output of this circuit 2)if x=1 and z=1 what is the value of y if the circuit returns 0