Calculus question and answers for August 16, 2023
- Q * Consider the function f(x)=(x-9)/x all values of 'x' that correspond to horizontal tangent lines. Select 'None" if the function does not have any Values of x that correspond to...
- Q Suppose 0?x? 2?. Find all solutions that satisfy the equation: cos(x) = -0.63Round your answers to two places after the decimal.
- Q Use a finite approximation f(x)=1/x between x=2 and x=5 using an upper sum width 2 rectangles of equal width a) 33/28 b) 51/28c) 33/70d) 51/70
- Q Tracy has a cell phone plan that provides 250 free minutes each month for aflat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute.Which of...
- Q Consider the following function.f(x) = 4x^2/3Find f(-8) and f(8).f(-8)f(8) =Find all values c in (-8, 8) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an...
- Q Let f(x) = |x-8| +2.(a) The domain of f is(b) List the critical number(s) of f:(c) f'(x) > 0 for x ?(d) f'(x) < 0 for x ?(e) Local maxima...
- Q The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 121 + (t-89) e0.02t, where t is the week...
- Q Last week at an insurance company, Zach sold an average of 7 automobile and 5 homeowner policies per day over a 4-day period, Lisa sold an average of 9 automobile...
- Q Last week at an insurance company, Zach sold an average of 9 automobile and 7 homeowner policies per day over a 5-day period, Elena sold an average of 6 automobile...
- Q Inscribe a regular n-sided polygon inside a circle of radius 1 and compute the area of the polygon for the following values of na. 4 (square)b. 8 (octagon)c. 16d. Compare...
- Q Assume that the mass density is constant. Find the centroid of the region bounded by2x - y + 3 = 0, x + 2y - 6 = 0 and y...
- Q Answer the following.(a) Find an angle between 0 and 360 that is coterminal with 810.(b) Find an angle between 0 and 2? that is coterminal with - 7?.Give exact values...
- Q The amount of carbon-14 present in a paint after t years is given by y=y-0.00012t The paint contains 28% of its carbon-14. How old are the paintings?The age of the...
- Q Given z? = 24(cos 315 + isin 315) and z2 = 3(cos 120 + isin 120), what is the product of z? and z??
- Q Suppose f(x) = 3x and r(x) = ?3x. Find and simplify the composite function r(f(x))
- Q The wholesale price of a pound of beans decreased by 5% from the previous month for 9 consecutive months. If x is the number of months since the price began...
- Q The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm/min) is the surface area of the ball increasing when the...
- Q The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 9 cm...
- Q Solve the problem.An appliance company determines that in order to sell x dishwashers, the price per dishwasher must bep= 420- 0.4x.It also determines that the total cost of producing x...
- Q Find the exact length of the curve.x= y^4/8 + 1/4y^2 , 1? y ?2
- Q The joint density function for random variables X, Y, and Z is f(x, y, z)= Cxyz if 0?x?1, 0 ? y ? 2, 0 ? z ? 2, and f(x,...
- Q A nurse gives a patient 800 mg of acetaminophen. The half-life of acetaminophen is about the house axponential model of the form P(t) = Poet representing the amount of acetaminophen...
- Q A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 300 biscuits per day. Each jumbo biscuit requires 2 oz of flour, each regular...
- Q A cylindrical tank with a radius 3 m is being filled with water at a rate of 4 m/min. How fast is the height of the water increasing (in m/min)?|m/min
- Q Solve the exact equation(xe^ x^2+y (2x + 3) + 4x) dx + (xe^ x^2+y - 12y) dy.The solutions are of the form F(x, y) = c, whereF(x, y)=
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