Questions asked by Sam
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Evaluate the following limit:
Limit of xcotx as x approaches 0?
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If f(x) = sinx, evaluate f(2+h)-f(2)/h to two decimal places as h approaches 0.
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Find the derivative and simplify.
y = -3xcosx
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Find the derivative and simplify.
y = 2csc^3(sqrtx)
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Find the derivative using implicit differentiation:
x = sin y + cos x
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Write the equation of the tangent line of y = 2cosx at x = -pi/2.
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Find the derivative implicity if x = tan xy.
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Differentiate the identity sin2x = 2sinxcosx to develop the identity for cos2x, in terms f sinx and cosx.
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Help!? How do i shade this graph given the domain and range?
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I dont understand how to solve this question.
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Find the oblique asymptote for the graph of y = x^3/x^2-x.
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Find the horizontal asymptote of f(x) = 2^-x +3.
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What combinations of vertical, horizontal, and oblique asymptotes are not possible for a rational function?
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Help!? I don't understand how to figure this out.
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Use the first derivative to determine where the graph of y = x/x^2+1 is rising. Help!?
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Use the Second Derivative Test to show that (3,27) is a maximum point on the graph of f(x) = x^3(4-x). Help!?
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Use the second derivative test to find the maximum and minimum points of f(x) = 2x^3+15x^2-36x.
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Use the function #f(x) = x^2-4sqrtx# to answer the following questions.
A) Is the graph symmetric about the x or y axis? Justify your answer
B) Find the asymptotes if any
C) Where does the function increase and decrease?
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Use the function f(x) = x^2-4sqrtx to answer the following:
A) Where is the curve concave up or down?
B) Locate the points of inflection (if any).
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Use the function #f(x) = sin(x)+cos(x)#, where #0 <= x <= pi#, to answer the following.
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Use the first and second derivatives of the function y = x^3-3x^2-9x+15 to find the intervals of increase and decrease.
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The function 2x^2=12x+y-22 has a critical point where x = ____ and y = ____
help!?
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Find two positive numbers whose sum is 18 and the product of the first number and the square of the other is a maximum.
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You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container? Round your answer to the nearest thousandth.
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Diana wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30m of decorative fencing, what should the dimensions of the flower plot be so that she has a maximum area?
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Really need help on this question ASAP!
Thanks?!
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You hit a golfball vertically upward with your pitching wedge. The position function of the ball is s(t) = -3t^2+30t where the origin is at ground level and the positive direction is vertically upward. (Distance is in metres).
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I dont understand how to figure this out.
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A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm^3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express your answer correct to 2 decimal places.
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The relation between distance #s# and speed #v# is given by #v = (150s)/(3+s)#. Find the acceleration in terms of #s#.
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A pebble is dropped into a still pond, causing ripples in the form of concentric circles. The radius r of the outer circle is increasing at a rate of 25cm/s. When the radius is 100cm, at what rate is the total area of the disturbed water increasing?
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Need help on this calculus problem!?
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Calculus Related Rates Question.
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Really need help on this question!? Thanks!
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How fast is the area of a square increasing when the side is 6cm in length and growing at a rate of 0.3cm/s?
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Help please ASAP on this question!?
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Graph 3 members of the family of curves that have f(x) = -x+1 as a common derivative.
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Integrate:
(tanxsec^2x)dx
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Where does the 1/12 come from in this solution?
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Really need help on this question!? Help!?
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A rock is dropped from a high building. The acceleration due to gravity is -10m/s. Find the distance travelled by this rock from t = 2s to t = 4s.
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A ball is tossed up from a tower #"50 m"# above the ground. If the ball has an initial velocity of #"30 m/s"#, how long will it take to hit the ground if #g = -"9.81 m/s"^2#.
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Explain why both y = x-3 and y = x+2 can both be considered solutions to the differential equation dy/dx - 1 = 0?
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Alex and Veronica were discussing the definite integral #int_0^3 (x^2 − 1)dx#. Alex said it represented the total area bounded by #f(x) = x^2 - 1# and the #x#-axis , between #x = 0# and #x = 3#. Veronica said the total area was larger?
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What is the integral of the expression
#dy = (7x-2)^5 dx#?
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For what non zero value of a does the definite integral #int_-a^ax^4-1dx# have a value equal to 0?
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By applying the rules for natural logarithms, how could 2ln|x| be expressed so that the absolute value symbol is not required?
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Write y = lna/2-lnb+3lnc as a single log.
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Why does the cos x get removed when integrating this?
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Determine the limit:
limit of (1+3h)^1/h as h approaches 0.
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What is the derivative of y = log(2x)?
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A population of grasshoppers quadruples in twenty days. Assuming exponential growth, if the present population is 40 million, what will it be in 50 days? Answer the question by first finding the number y of grasshoppers as a function of time t (in days)?
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Really need help on this question! Thanks?!
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Composition of functions question. Help!?
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Choose the value of k that makes the following function continuous at x=1:
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What value of k makes the following function continuous?
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Find a closed form expression for the nth right Riemann sum of this integral.
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Write an integral which represents the volume of the solid obtained by revolving this region around the line x=0. Help?
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How do you figure this out? Help?
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Help? Dont understand how to figure this out
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Find the derivative of #sqrt(3x-5)# using the definition of the derivative. Help?
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Derivative Question
help!?
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Implicit Differentiation Question
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Calculus Integration Help?!