10. Assume that all variables are implicit functions of time t. Find the indicated rate. *2...
Given that x and y are functions of time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3, given that x3+y3=35.
Given that x and y are functions of time, find the indicated rate of change. Find * when x = 4, y = 2, and 0% = - 4, given that xy (Round to one decimal place as needed.)
5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3) (c) f(x,y, 2)(xz2, x + zy?) 5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3)...
d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the form F(x)GK, in which the coefficient of x2 is 84. Answer: =K e. Find the particular solution of the differential equation (4 +x2)으-2V 16-r, such that y-t as x →-2. dx Simplify your answer as much as possible. Answer: y= d. Find the general solution of the differential equation56-48x + 49y - 42xy dx Give an implicit solution in the...
Assume that x and y are both differentiable functions of t and are related by the equation 42 y= 22 +3 Find dy when 2 = 0, given dt de dt 2 when x = 0 Enter the exact answer. 11 dt
1. Use combinations of STEP FUNCTIONS to describe each continuous-time signal shown below. f(t) 0 2 4 6 0 1 2 3 0 1 2 3 4 2. Sketch the following signals: (a) x (t)=1 [u(t+2)-u(t-1)] (c) X(t)=\fety (b) X(t)=t.e (d) x (t) = u(t) u(t-1).ult-2).u(t-3) 3. Determine whether the systems below are linear and time invariant. Justify your answer! (a) y(t) = x(31) (b) y(t)= 2x(1-t) y(t)=cos(x(t)] 4. Simplify the expressions: (a) y(t)=1.8(t+2)+(t +1) 8(1-1)+(t+3). 8(t) (b) y(t) =...
(2. Assume that X, Y, and Z are random variables, with EX) = 2, Var(X) = 4, E(Y) = -1, Var(Y) = 6, E(Z) = 4, Var(Z) = 8,Cov(X,Y) = 1, Cov(X, Z) = -1, Cov(Y,Z) = 0 Find E(3X + 4y - 62) and Var(3x + 4y - 62).
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only th (xy)2 + xy - x = 3,(-3,0) (a) the expression of the slope of the tangent line in terms of x and y dy. -2012 – y + 1 dx2xy + x (b) the equation of the tangent line at the indicated point on the graph y = Use implicit differentiation to find the following. (Round answers to four decimal place In(x...
please show all work 10) Use a change of variables to find the volume of the solid region lying below S(x,y)=(x-)(x+4y) (0,0).(1,1).(5,0).(4.-1) above the parallelogram with vertices
Problem 2 ( 50 points) You are given functions x(t) = u(t)-ut-1/2) and y(t) = e(ult) -uſt-1)). 1. Sketch a(t) and y(t). (10 points) 2. Use time-domain integration to find the convolution z(t) = x(6) *y(t). (20 points) 3. Find Zw) using any method of your choice (20 points)