Calculus question and answers for August 19, 2023
- Q y = log? (log?x)The slope of the tangent line to the given curve at its x-intercept is:12(In 2)012x (log 2)0
- Q A local company rents a moving truck for $750 plus $0.60 per mile driven over 1000 mi. What is the maximum number of miles the truck can be driven so...
- Q A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or D. Players compete for a pot of tokens. A...
- Q Describe the intervals on which the functionf (x) = ln | x| is continuous. Are theyremovable? Graph the function.
- Q Find tanx and secx if sin a = -and cotx <0 without using a calculator. Show one line of work and then state the two exactanswers.
- Q Find constants a and b so that the minimum for the parabola f(x) = x + ax + bis at the point (2, 11). [Hint: Begin by finding thecritical point...
- Q The population of rabbits (in thousands) in a forest at time t months is modeled bythe equationR(t) = 50t2 et + 8 where t? 0Determine the final number of rabbits...
- Q y = xe-2x, 0 ? x ? In(3)On this interval, the minimum value(s) occur at x =0In(3)12two of these are correct
- Q Paul applies to sell souvenirs at a sporting event. He may be assigned to any of sections A through E, or he maybe rejected. The table shows the probabilities of...
- Q Suppose that f(x) = x + x - 64x-64 and g(x)=x-8. Find the zeros of (f o g)(x).The zero(s) of (f o g)(x) is/are .(Simplify your answer. Type an exact...
- Q A graphing calculator is recommended.If a ball is thrown into the air with an initial velocity of 50 ft/s, its height in feet after t seconds is given by y50t...
- Q Suppose f''(x) = ? 30x - 10, '(1) = ? 16, and (1) = ? 11.Then f(x) =Add WorkCheck Answer
- Q Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.-2x = exWhat is the exact answer? Select the correct choice...
- Q For the following exercises, convert the given Cartesian coordinates to polar coordinates withr> 0, ?0 2T. Remember to consider the quadrant in which the given point is located.11. (4,2)12. (-4,...
- Q Consider the Taylor series for cos z:What is a series forOMINO01/14-1NINNIN++6! 8!I4! 6!6!cos z ? 1 + x,6! 8!++8!1IT8!214!6!8!
- Q The point P(5,-3) lies on the curve yT(a) If Q is the point(1) 4.9MpQ11(ii) 4.99MpQ(iii) 4.999MpQ(iv) 4.9999MpQ(v) 5.1MPQ#(vi) 5.01MpQnt (x, 43x), fi4-X"34-Xfind the slope of the secant line PQ (correct...
- Q A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people visited the shopping center, and 126 shopped at the grocery store,82 shopped...
- Q A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is...
- Q Simplify cos(t)csc(t)to a single trig function or constant with no fractions.
- Q Your expenses that stay the same every month, like a car payment are called.O SteadyO FixedO VariableTrackedexpenses.
- Q Graded AssignmentSemester B Exam, Part 2Answer the questions. When you have finished, submit this test to your teacher by the due date for full credit.Total score! of 42 pointsSeconst(Beere for...
- Q A comet follows a hyperbolic path inwhich the sun is located at one of its foci.12If the equation2260516y107584represents a hyperbola that models thecomet's path (in millions of km) shownbelow, what...
- Q 13. The volumes of two similar figures are 512 mm and 3375 mm. If the surface area of thesmaller figure is 128 mm2, what is the surface area of the...
- Q In Exercises 3-18, find the Maclaurin series and find the interval on which theexpansion is valid.3.f(x)=4.=X1-x5. f(x) = cos 3x6. f(x) = sin(2x)11 + 10xf(x) =
- Q Consider the discrete modelXn+1 = x +1.Find the 2-cycle and determine its stability.
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