Gas mileage The number of miles M that a certain com- pact car can travel on 1 gallon of gasoline is related to its speed v (in mi/hr) by м v2 +v for 0
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Solve the inequality, and express the solutions
in terms of intervals whenever possible
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- Answer A only (5:15 PM) please. ThanksA student investigates the refraction of light in a transparent block. images. B D •P3 eye Fig. 2.1Write down an expression for the angle in the previous problem if 0 is small (sin 0<<1). Please use appropriate algebraic symbols for multiplication (* for a × b), division (/ for a/b), exponents (a^b for a³), square root (sqrt(a*b/c) for √a × b/c) etc. Please use the "Display response" button to check you entered the answer you expect. 0=
- Find the following for path A (a) the totaldistance traveled, and (b) the magnitude and direction of thedisplacement from start to finish Find the following for path B (a) the total distance traveled, and (b) the magnitude and direction of thedisplacement from start to finish.Find the x and y coordinates of the centroid of the shape shown below via integration.A student walks 550 m [E], then 450 m [N30°W], and finally 350 m [S10°W]. Using the component method, find the resultant (total) displacement). Show your work and round your answer (magnitude and direction) to appropriate significant digits.
- 1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.Choose one equation (and only one) from the equation sheet that would let you solve the problem posed. Then define which variables in the equation go with what numbers from the problem itself (not from other problems), and define which variable is being solved for. Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable. 1) A single mole of Carbon Dioxide has a mass of 44 g, and at 1.00 atm of pressure and 20oC (293K) it occupies 22.4 liters. At what speed will you find the peak of its speed distribution function?Evaluate the given integral. S 1 (x²+4)3/2
- Consider vectors a = (3, −12) b = (−1, 4)and c = 0. Determine the non-zero scalars ? and ? such that c = ? a + ? b.Rectangular coordinates of a point are given by (2, y) and its polar coordinates are given by (r, π/6) . Find y and r.The position of a point in polar notation is (2.3, 195). determine the x component of the point.