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- Line has a -intercept at (0, 3) and an -intercept at (4, 0), . what is the gradient of LFInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P drives the join of A(-2,6) and B(3,-4) in ration 2:3A line L1 passes through point (2,4) and has a gradient of 6. Another line L2 is perpendicular to line L1 and meets it at a point where x=2. Find the equation for L2 in form of y=mx+c
- b) The gradient at P(-3, -2) is ??What is the gradient of the line segment passing through points A=(8,1)A=(8,1) and B=(−1,12)B=(−1,12)? Give the answer correct to 2 decimal places. Select one: -1.22 -0.82 -8 1.22 not in the listA skier travels downhill along two slopes one with gradient -5 and the other with gradient -1/5. state which slope is steeper.
- The probability of not matching the salt content of sand from a particular source is 0.2, and the probability of not matching the gradient of love * (for the specifications is 0.03, so the probability that the sand matches the specifications is equal toThroughout the world, natural ocean beaches are beautiful sights to see. If you have visited natural beaches, you may have noticed that when the gradient or dropoff is steep, the grains of sand tend to be larger. In fact, a man-made beach with the “wrong” size granules of sand tends to be washed away and eventually replaced when the proper size grain is selected by the action of the ocean and the gradient of the bottom. Since man-made beaches are expensive, grain size is an important consideration. In the data that follow, of granules of sand, and on natural ocean beaches. x y 0.17 0.63 0.19 0.70 0.22 0.82 0.235 0.88 0.235 1.15 0.30 1.50 0.35 4.40 0.42 7.30 0.85 11.30 Find the sample mean and standard deviation for x and y.what are the examples of contravarient and covariant tensors?
- The cost function for a specified production process in terms of quantities u and v of the two process inputs is given by C(u, v) = 5u3 - 2u2v +3v2 + 800 dollars. (a) Write down the Gradient Vector of C(u,v) when u = 10 and v = 15 and estimate the change in the cost of the process if u increases from 10 to 10.4 and v decreases from 15 to 14.7.The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?Suppose L(5, 4) was reflected across the line y = x then translated along the vector <4, 0>. What is the y-coordinate of L''?