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Given the equations of two lines:5x + 4y =8x + 2y = -6a) Find the intersection of the two lines.b) Find two vectors that also describe the two lines originating from the intersection.c) Find the angle between the two lines.
A ball is thrown upwards with a velocity of 31 m/s at an angle of 35.5 to the horizontal from a point which is 8 m above ground level. Find: 1) The greatest height reached, above the point of projection
A 10-mV signal source having an internal resistance of 200 kO is connected to an amplifier for which the input resistance is 20 kO, the open-circuit voltage gain is 2000 V/V, and the output resistance is 1 kO. The amplifier is connected in turn to..
How to write and application note that explains the use of AA sized rechatgeable batteries as a replacement for non-rechargeable alkaline barreries in a digital camera
Assume that life on Mars requires cell potential to be +100mV, and the extracellular concentrations of the three major species are following (mmol/L): Na+ : 145; K+ : 4; Cl- : 120. Choose one species and assume that other two permeabilities are ze..
The internet connection speed at any time from your home can depend on the amount of overall internet trac at that time. Let the random variable X denote the speed of connection in megabits per second (MBPS).
A designer searches for a simple circuit to provide one-third of a signal current I to a load resistance R. Suggest a solution using one resistor. What must its value be. What is the input resistance of the resulting current divider.
Suppose you are designing a power amplifier for a loudspeaker which has an equivalent resistance of 150 . What should be the Thevenin equivalent resistance of the power amplifier in order to maximize the power transfer to the loudspeaker
1. Point charges Q1 and Q2 are respectively, located at(4,0,-3) AND (2,0,1). If Q2=4nC, find Q1 such that a. E at (5,0,6) has no no z component b. The force on a test charge at (5,0,6) has no x component
An AM signal has an unmodulated carrier voltage VC = 10VP, a load resistance of RL = 10, and a modulation index of m = 1. Determine Write down the frequency components of the received AM signal.
a) Find the general solution of the homogeneous ODE (the left hand side) and call it yh. b) Verify that yp= -0.5tcos(3t) is a solution.. i.e show that yp" + 9yp'= 3sin(3t). c) Construct the general solution of this ODE y=yh+yp
A dynamite blast at a quarry launches a rock straight upward, and 1.6 s later it is rising at a rate of 14 m/s. Assuming air resistance has no effect on the rock, calculate its speed (a) at launch and (b) 5.7 s after launch.
design the controller and estimator so that the closed-loop unit step response to a command input has a rise time tr
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