Basic Math question and answers for November 09, 2024
- Q The height, in meters, above sea level of a NASA launched rocket is given by h(t)=-4.9t + 151t+122where t represents the number of seconds since the rocket was launched.Assuming that...
- Q A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds....
- Q Consider the function f(x) = 5x - 10x + 1, 0?x? 8.The absolute maximum of f(x) (on the given interval) is atx =and the absolute maximum of f(x) (on the...
- Q The radius of a circular oil spill after t minutes is given by r(t) = ?4t. Find the instantaneous rate at which the radius is growing after 31 minutes.Give your...
- Q The function A(s) that you wrote to model area is a quadratic function.The shape that a quadratic function forms when graphed is calleda parabola.A(x) = 100x-2x8. Think about the possible...
- Q A particle moves along a line so that its acceleration function a(t) (in m/s). The initial velocity v(0) = -1 (in m/s). Find the total distance (not displacement) traveled during...
- Q A company manufactures Handband, a wireless activity tracker. There are initial start-up costs involved. Additionally, the company spends a certain amount of money to manufacture each Handband. The cost of...
- Q A ball is thrown up from the ground with an initial velocity of 80 feet per second. The height s in feet can be expressed as a function of time...
- Q Find the intervals where the graph is concave up or concave down. Also find all inflection points and critical points. Do not graph. (V.A. -vertical asymptote, I.P.= inflection point, C.U....
- Q Given g(x) (ax3+bx2+cx+d) find the values of a, b, c and d if the function passes through the points (0, 2) and ( 1, 12); and the tangent at either...
- Q g"(x)= 2/x^2The second derivative of the function g is given by x Given x = 0.4 is a critical point of g, use the Second Derivative Test to determine relative...
- Q A store sells portable MP3 players for $100 each and, at this price, sells 120 MP3 players every month. The owner of the store wishes to increase his profit, and...
- Q A company's marginal cost function is MC(x) = 1/8x + 1 and its fixed costs are 100. Find the cost function. (Remember to use absolute values where appropriate.)
- Q What is the slope of the line tangent to the graph of f(x) = 2xe- at x = -2? Express your answer in simplest form with no negative exponents.
- Q A company's revenue from selling x units of an item is given as R = 1000x - x dollars. If sales are increasing at the rate of 80 per day,...
- Q Find the slope of f(x) at x = -2. The graph of f(x) is shown below. Move the point on the curve to x = -2. Then plot two points...
- Q Find the derivative of the function.y = - 8x In (8x + 7)dy/dx
- Q What are the critical numbers of the functionf(x) = x - 17x - 56x - 2?Note: For answers with multiple numbers, separate using commas and enter in ascending order. Write...
- Q Find dw/dt using the appropriate Chain Rule.Functionw = x sin yx = e^t, y = ?- tvalue t=0dw/dt=Evaluate dw/dt at the given value of t.
- Q For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.f(x) = 5x - 2x+5Select the correct choice below...
- Q Consider a function, f(x)=x-3x,A. determine the average rate of change in the interval [-2, 4]B. determine the instantaneous rate of change at x = 1. You can use the smallnumber...
- Q Country Motorbikes Incorporated finds that it costs $200 to produce each motorbike, and that fixed costs are $1300 per day. The price function is p(x) = 500 - 5x, where...
- Q Describe the long-run behavior of the following functions, and identify horizontal asymptotes.a) g(x)=3x/x - 1As a goes to +?, g(x) goes toAs a goes to -?, g(x) goes toHorizontal asymptote:...
- Q 4. Choose the appropriate answer for each of these questions:A. The derivative of a function measures:a. How steep its graph isb. What value it takes for a given xc.Where its...
- Q Find the derivative of the function.y = 5(2-x)4Step 1Apply the general power rule which states that if y = [u(x)], where u is a differentiable function of x and n...
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