OOOO y= 4x -8x+c, lsrs2] y=-5x +b,x- 27 2sxs3 S(x) = calculate the value of es assoming contuuity of y and y (frst oenvatnvey at 2 betweem the tao quadrati spines need more intormation
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- Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsShow that y=lnx is a solution of xy’’+y’=0 on interval (0,∞) but is not a solution on interval (-∞,∞)Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the square of thedistance.
- Find the moment of inertia with respect to x-axis the aarea bounded by 2y^2-8y-16x=0 and the line x-1=0. with complete solutionUse field II to sketch the graphs of the solutions that satisfythe given initial conditions. a) y(0) = 1 b) y(0) = 2 c)y(0) = -1A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.15 + 2.09x −0.41x2,0 ≤ x ≤ 4.6 where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is released to the moment it enters the hoop. Round your answer to two decimal places.
- Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N = 75 x - x^2Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,850. Round to the nearest integer.________$ The total cost of producing a racket per hour is given by: C(x) = 0.53x²+4.6 x + 405 The average cost per racket at production level x rackets per hour is C'(x) = C'(x)/x Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent.$_______per racket Yaster Electronics manufactures and sells æ televisions per month. The cost and revenue in dollars are given by C'(x) = 72,957 +59 x and R(x) = 204 x - 0.041 x2.Use differential approximations to estimate the change in profit if production level is increased from 1,500 to 1,559. Round to the nearest dollar. $________A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the moment it is struck to the moment it hits the green is described by y = 12.54x −0.41x² where x is the horizontal distance (in yards) from the point where the ball is struck, and y is the vertical distance (in yards) above the fairway. Use a CAS or a calculating utility with a numerical integration capability to find the distance the ball travels from the moment it is struck to the moment it hits the green. Assume that the fairway and green are at the same level and round your answer to two decimal places.Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $