Calculus question and answers for November 20, 2023
- Q Finding a difference quotient f(x+h)-f(x)/h, where h ? 0, for the function below. f(x)=3x-6 Simplify your answer as much as possible. f(x +h)-f(x)/h=
- Q Beth starts her day at the state fair with $20.00. She buys roasted corn for $2.25 and a water bottle for $2.00. Then she buys 10 ride tickets that cost...
- Q For y-(x-6)/12=1,(a) Identify the center.(b) Identify the vertices.(c) Identify the foci.(d) Write equations for the asymptotes.(e) Graph the hyperbola.Give exact answers. Express numbers in simplest form using integers, fractions, or...
- Q Find the Riemann sum for f(x) = x - 1, -6 ? x ? 4, with five equal sub intervals, taking the sample points to be right endpoints.
- Q The pressure, P (in lbs/ft2), in a pipe varies over time. Five times over the span of 60 minutes, pressure oscillates from a low of 90 to a high of...
- Q Let f(x) = { x if x > 0 -1 if x=0 ...
- Q To estimate the width of an archaeological mound, archaeologists place two stakes on opposite ends of the widest point. They set a third stake 82 feet from one stake and...
- Q Suppose s(t) -13t-14t+100 (3t+6)(3t-9) What is the long run behavior of s(t) as t? co?
- Q A triangular sail for a sailboat has sides of length 6'2", 7'3", and 10'7". What is the sail area? Round to the nearest tenth of a square foot.The area of...
- Q A fishing boat leaves a marina and follows a course of S60W at 10 knots for 30 min. Then the boat changes to a new course of $30W at 5...
- Q f(t)Suppose f(t) =-15t +41t+34/(-5t+9) (t+2) What is the long run behavior of as too?
- Q Solve the system of equations by using any method. Write the solution as an orderedpair.(5x-2y = 197x- 3y = 27Do not enter any spaces in the answer.The solution is (3,-2)A/
- Q Find the value of f(-1) forf(x) =(5x-2 if x < -1,2x +3 if x>-1f(-1) = -7'
- Q Factor the function f(x) = x4 + 8x + 15x to determine its behavior at the x-axis.A. tangent at x = 0 and crosses at x = -5 and x...
- Q Determine the convergence or divergence of the sequence {a}. an=3n+ n-1/5n +n + 1 converges diverges If the sequence converges, find its limit. (If an answer does not exist, enter...
- Q Find the nth Taylor polynomial of the function at the indicated number.f(x) = x^5 at x = -1, n = 3
- Q Let f(x,y)=2^x + 3xy, find f(0, 4), f(? 4,3), and f(4,3).f(0,-4)= (Simplify your answer.)f(-4,3)= (Simplify your answer.)
- Q Solve for x. (Give your answer in decimal form.)log? (x + 3) - log? (x + 1) = 1
- Q In a study a researcher measured a plant to be 8 centimeters tall. If the plant continues to grow 2 centimeters every week, after how many weeks will the plant...
- Q Determine a coterminal angle of 660.3?/25?/37?/411?/6
- Q Find the area of the surface.The part of the surface 2y + 4z - x = 5 that lies above the triangle with vertices (0, 0), (2, 0), and (2,...
- Q At which angle is sec? = 2?4?/35?/47?/45?3
- Q Use the graph of y=e* and transformations to sketch the exponential function f(x)= - ex+4. Determine the domain and range. Also, determine the y-intercept, and find the equation of the...
- Q A storm is approaching and causing the depth of the water in the bay to fluctuate. The depth D(t), in meters, can be described by the function D(t)= 6sin(?/5)t+10 such...
- Q The number of hours of sunlight in a particular location S(t) can be modeled by the function S(t)=12+2cos(2?/183)t where t is the number of days after January 1st. (That is,...
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