Calculus question and answers for August 14, 2023
- Q (-7x4+5x+20x+10)(-x+x+3)Write your answer in the following form: Quotient +-7x4+5x+20x +10-x+x+3=+2-x + x + 3Remainder2-x+x+3XS?
- Q Determine if the following function is concave up or concave down in the first quadrant.y=5x^2/3Is the function y=5x^2/3 concave up or concave down in the first quadrant?Concave upConcave down
- Q Determine whether the function y = -2x is increasing or decreasing for the following conditions.(a) x < 0(b) x > 0(a) Is the function increasing or decreasing for x <...
- Q The annual total revenue for a product is given by R(x) = 30,000x 5x dollars, where x is the number of units sold. To maximize revenue, how many units must...
- Q Let h(x) = -9x - 13 - 6x- xDetermine the absolute extrema of h on [-4, 0]. If multiple such values exist, enter the solutions usinga comma-separated list.The absolute minimum...
- Q Consider h(v) = 7v log5( 6v) on [ 125/6 ,-1/6]Determine the interval over which h is continuous and the interval over which h is differentiable.h is continuous on _______h is...
- Q Find the points on the curve y = x + 3x^2 - 9x + 8 where the tangent is horizontal.smaller x-value (x, y) =larger x-value (x, y) =
- Q 4 ln(x + 6)x + 6Let f(x)Determine the absolute extrema of f on [-5, -1]. If multiple such values exist, enter the solutions usinga comma-separated list.The absolute minimum of fis+2The...
- Q Let h(x) - 52 +9Determine the absolute extrema of h on [-3, 3].
- Q Let g(x) = 17 + 24x + x + 9xDetermine the absolute extrema of g on [-5, -1]. If multiple such values exist, enter the solutions usinga comma-separated list.
- Q Let h(x) = x + 21 + 10xDetermine the absolute extrema of h on [- 7,2].
- Q For the polynomial below, -3 is a zero.g(x)=x - 2x - 9x + 18Express g (x) as a product of linear factors.
- Q 7. (Factoring) Factor the difference of squares.a) x - 121b) 9m - 4n
- Q (1 point)3sin(x)tan(x)+3?sin(x)=0Find all angles in radians that satisfy theequation. For each solution enter first the anglesolution in [0,?) ?r [0,2?) (depending on thetrigonometric function) then the period. When 2or more...
- Q For the polynomial below, 3 is a zero.g(x)=x- 4x + x + 6Express g (x) as a product of linear factors.
- Q For the polynomial below, -3 is a zero.f(x)=x - 3xExpress f(x) as a product of linear factors.
- Q A spherical balloon is inflated at the rate of 67 cm/sec. At what rate is theradius increasing when r = 4 cm?
- Q Find the extrema of y = x-6x +9x+2 on [0,2]. (Notice this is the same equation as #4a.)Label max/min.
- Q Sand falls from an overhead bin and accumulates in a conical pile with a radiusthat is always two times its height. Suppose the height of the pile increases at arate...
- Q Find the unit tangent vector T(t) at the point with the given value of the parameter t.r(t) =(t- 3t, 1 + 4t,1/3 t^3+1/2 t^2) ,t = 3T(3)=
- Q Find the profit function if cost and revenue are given by C(x) = 178 +4.9x and R(x) = 7x -0.05x.The profit function is P(x) =
- Q Find an equation for the surface consisting of all points that are equidistant from the point (-3, 0, 0) and the plane x = 3.Identify the surface.O parabolic cylinderO hyperbolic...
- Q Find all local extremes of the function f(x, y) = (x + y) e^x-y
- Q Find the marginal cost function.C(x) = 190 +3.9x -0.03x
- Q The total cost (in dollars) of producing x food processors is C(x) = 1900 + 30x -0.1x.(A) Find the exact cost of producing the 91st food processor.(B) Use the marginal...
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