By the Lagrange's method, the roots of the equation 2x-7x+6=0are: x=- (tu -a) 7. here a =--. Then the value of u is: 2 5 a O 2 1 b 0 - 7.c O - None of these .d O
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- Find a, b, and c. Specifically focus on C more because I am getting different answers and I plugged in 99.5 which is a close number between 100 but it was wrong. The equation is dy/dt = 0.001y(100-y)A The equation e^(x/3) + x − 4 = 0 has a solution on [0; 4]. Find the root using ; a) Secant method, starting with p0 =4; p1=3.The height of a ball is modelled by the equation h(t)= 4sin(8πt) + 6.5 where h(t) is in metres and t is in seconds. What are the highest and lowest points the ball reaches?
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- Consider applying the Muller’s method to find the roots of the equation x^3 − x − 1 = 0.(a) How many real and complex roots are there for the equation? How do you tell? (b) Use the Muller’s method with initial guesses x0 = 0, x1 = 1, x2 = 2 to find the quadratic functionthat is needed to find the first estimate.The roots of the characteristic equation of y"-7y=0 are: a. √7.-√7 b. 0, 7 c. 7,7 d. 7.-7Q2. When the angle of elevation of the sun is 62⁰, the shadow cast by a vertical pole is 10m long. Find the height of the pole to one decimal place. Q3. Two ships K and T leave harbour at the same time. T sails South 40⁰ East while K sails North 65⁰ East. After one hour, K has travelled 20km and T is then directly south of K. Calculate correct to the nearest km/hr, the speed at which T is travelling. Q4. Two sides of a triangular field are 9m and 13.5 m respectively, and the angle between them is 88⁰. Find the length of the third side correct to two decimal places.
- 6. Determine the four roots of the equation (z—2)‘+(z+l)‘=0 and plot them on an Argand diagram.A car with good tire tread can stop in less distance than a car with poor tread. The formula for the stopping distance d, in feet, of a car with good tread on dry cement is approximated by d=0.04v^2+0.5v, where v is the speed of the car. If the driver must be able to stop within 45 ft, what is the maximum safe speed, to the nearest mile per hour, of the car?find the distance for the point S(0,0,0) to the ineL: x=5+3t,y=5+4t,z=-3-5t Note: Solve as soon as possible before 2o minutes