Basic Math question and answers for August 01, 2023
- Q A cylindrical package to be sent by a postal service can have amaximum combined length and girth (perimeter of a cross section) of156 inches. Find the dimensions of the package...
- Q what are orthogonal vectorswhat are orthonormal vectorswhat is rank of a matrixwhat is nullity of a matrixwhat is eigen vector
- Q Let f(x) = 2x3 - 15x2 + 24x - 5. Find thefollowing:a) The domain of f Answer can be an interval or inwordsb) The y-intercept Answer must be a pointc)...
- Q Find the area of a surface of revolution revolving about thex-axis.? = 3? , 0 ≤ ? ≤ 3
- Q ABC Daycare wants to build a fence to enclose a rectangularplayground. The area of the playground is 920 square feet. Thefence along three of the sides costs $5 per foot...
- Q Find the volume of the parallelepiped with adjacent edgesPQ, PR,and PS.P(−2, 1, 0), Q(3, 3, 3), R(1, 4, −1), S(3, 6, 1)cubic units
- Q Company C showed a profit of $1.3 million last year. The CEO ofthe company expects the profit to decrease by 2% each year over thenext five years and the profits...
- Q 1) The graph of the derivative f ' of a continuous function f isshown. (Assume the function f is defined only for 0 < x <∞.)(a) On what interval(s) is f...
- Q Use Newton’s method to ï¬nd the real root (in four decimalplaces) near 0.5 of the equation x^5 −4x^2 + 2 = 0
- Q The following data was collected from 1 bag of Hershey Kisses®.Each Kiss® was weighed (in grams) and recorded in the table below.Hershey claims that there is 368 grams of chocolate...
- Q Sketch the graph of a single function f that satisfiesall of the conditions below.(a) f '(x) < 0 on (1,∞),f '(x) > 0 on (−∞,1)(b) f ''(x) > 0 on...
- Q 1. The rate of change of atmospheric pressure P withrespect to altitude h is proportional to P,provided that the temperature is constant. At a specifictemperature the pressure is 103.8 kPa...
- Q Find equations for the line L which satisï¬es all of thefollowing conditions.(a) L passes through the point (5,6,7).(b) L is perpendicular to the line x = 2−t, y = 3...
- Q Consider the function f(x)=(2x−1)e^−6x. Determine the criticalpoint(s) of f and locate all local extrema, then select all of thefollowing that are true of f.Select all that apply:f has a local...
- Q Find the interval(s) where the function f (x) = 1 x2 − 5x isincrease or decreasing. Include a sign 10 chart and testvalues.
- Q A kite 75 ft above the ground moves horizontally at a rate of 12ft/s. At what rate in ft/s is the angle between the string(diagonal) and horizontal decreasing when 200...
- Q If z=x2y- 9xy2 andx=u2+euw, y=v2+2uv, when u=1,v=-1, w=0, then Zu=
- Q if x is 2/3 of y and y is 3/4 of z, what is the value of z:x
- Q If the point (1,2,k ) lies on the tangent plane to the surfaceZ=35x^2 +yln(xy) at the point (1,1,35) then k=
- Q use method of undetermined coefficients to findy''-5y'+4y = 8ex+cosx
- Q find the absolute extrema of the function of theclosee interval [-1,1 ]y=3x^2/3 - 2xminimum (x,y)maximum (x,y)
- Q 1. Find the derivative.  f(x) = x6 ·3x2.  Find the absolute maximum andminimum values on the closed interval [-1,8] for the functionbelow. If a maximum or minimum value does not exist, enterNONE.f(x)...
- Q Find the surface area of the given surface. Enter an exactanswer. Do not use decimal approximations. the portion of the plane7x + y + 6z = 2 inside the cylinder...
- Q Explain in words and/or pictures why you can't use the sameformula to find the distance between a point and a line and thedistance between a point and a plane. The...
- Q show that the equation 2x+2 cos x+5=0 has exactlly one realroot
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