Answers edited by Steve M
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Question #116b5
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How to you find the general solution of #dy/dx=xe^(x^2)#?
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How do you find f'(x) using the limit definition given #sqrt(2x) - x^3 #?
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How do you find the indefinite integral of #int csc^2t/cott dt#?
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A block weighing #4 kg# is on a plane with an incline of #(2pi)/3# and friction coefficient of #4/5#. How much force, if any, is necessary to keep the block from sliding down?
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WHat is the largest cylinder of radius, #r# and height #h# that can fit in sphere of radius, #R#?
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How do you use the limit definition of the derivative to find the derivative of #f(x)=3x-7#?
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Question #be944
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How do you find the antiderivative of #abs(2t-4)#?
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How do you find the critical points and local max and min for #y=4x-x^2#?
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How do multiple integrals work?
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What is the general solution of the differential equation #(x+y)dx-xdy = 0#?
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How do you find the Maclaurin series for f(x) using the definition of a Maclaurin series, of 4 sinh(4x)?
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How do you find the derivative of #y=x^nlnx#?
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The temperature of a cup of coffee cools from 105 deg to room temperature (20 deg). After 5 mins the temperature is 95 deg. Find (a) formula for the temperature at time t, (b) the temperature after 11 mins c) time for the temperature to drop to 85 deg?
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Question #adbb5
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How do you find the limit of # ((x/4)+3) # as x approaches #6#?
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How do you find the line to the tangent to the curve #y=9x^-2# at the point (3,1)?
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A rectangular poster is to contain 108cm^2 of printed matter with margins of 6cm at the top and bottom and 2 cm on the sides. what's the least cost to make the poster if the printed material costs 5 cents/cm^2 and the margins are 1 cent/cm^2?
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If a projectile is shot at a velocity of #1 ms^-1# and an angle of #pi/6#, how far will the projectile travel before landing?
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How do you use Newton's method to find the approximate solution to the equation #2x^5+3x=2#?
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How do you use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs #y=(18/x^2)#, #y=0#, #x=1#, #x=9# about the line #y = 18#?
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How do you find the inverse of #A=##((1, 1, 2), (2, 2, 2), (2, 1, 1))#?
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How do you find the angle between the vectors #u=<3, 2># and #v=<4, 0>#?
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How do you use the limit definition to find the derivative of #f(x)=sqrt(x+1)#?
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How do you find the indefinite integral of #int x(5^(-x^2))#?
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How do you use the definition of a derivative to find the derivative of #f(x) = |x|#?
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How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y = 15eāx^2#, y = 0, x = 0, x = 1 revolved about the y-axis?
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Question #eb797
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How do you find the equations for the tangent plane to the surface #xy^2+3x-z^2=4# through #(2, 1, -2)#?
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How do you find the area using the trapezoidal approximation method, given #sqrtx#, on the interval [1,4] with n=3?
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How do you use Newton's method to find the approximate solution to the equation #tanx=e^x, 0<x<pi/2#?
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How do I find the intersection of two lines in three-dimensional space?
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How do you find the derivative of #y=ln ln(3x^3)#?
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How do you find the area enclosed by the x-axis and the given curve #y=(6/x)# for x between -4 & -2?
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If the work required to stretch a spring 1 foot beyond its natural length is 12 foot-pounds, how much work is needed to stretch it 9 inches beyond its natural length?
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How do you differentiate #y= (3+2^x)^x#?
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How do you factor quadratic equations with a coefficient?
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A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. How do you write a rule that represents the helicopter's height #h# above the ground as a function of time #t#?
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How do you factor #2x^2-3x-9#?
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How do you sketch the graph #y=x^3-4x^2# using the first and second derivatives?
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Question #88a84
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How do you find the limit of #3x^3-2x^2+4# as #x->1#?
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How would you use the Maclaurin series for #e^-x# to calculate #e^0.1#?
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What is # || < -2 , 3 , 1 > || #?
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How to find instantaneous rate of change for # y=f(t)=-16(t^2)+59t+39# when t=1?
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How do you find the antiderivative of # cos 5 x#?
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How do you solve #x^3+4x^2>x+4# using a sign chart?
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Show that #y=2/3e^x+e^(-2x)# is a solution of the differential equation #y'+2y=2e^x#?
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How do you find #(d^2y)/(dx^2)# given #y^2=(x-1)/(x+1)#?
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Evaluate # int_0^pi(2+ sinx)dx#?
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How do you find all solutions of the differential equation #(d^2y)/(dx^2)=3y#?
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What is the derivative of this function #y=sec^-1(x^7)#?
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Calculus Word Problem?
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Is #f(x)=cosx# concave or convex at #x=pi/2#?
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What is the 7th partial sum of #sum_(i=1)^ā 6(3)^(i-1)#?
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The rate of decay of particular isotope of Radium (in mg per century) is proportional to its mass (in mg). A 50mg sample takes one century to decay to 48mg. Ho0w long will it take before there are 45 mg of the sample?
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Question #59b21
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How do you solve #\int _ { 0} ^ { 2\pi } \int _ { 0} ^ { 6} 3r ^ { 2} \sin \theta d r d \theta#?
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How do you evaluate the limit #2t^2+8t+8# as t approaches #2#?
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A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = 12 ā x^2. What are the dimensions of such a rectangle with the greatest possible area?
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Find the partial derivatives of #m = ln(qh-2h^ 2)+2e(q-h^2+3)^4-7 #?
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How do you find the slope of the tangent line to the graph of #y = (ln x) e^x# at the point where x = 2?
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How do you find an equation for the line tangent to the circle #x^2+ y^2 =25# at the point (3, -4)?
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How do you find #\int _ { 1} ^ { 16} \int _ { 1} ^ { 4} ( \frac { x } { y } + \frac { y } { x } ) d y d x#?
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How do you evaluate the definite integral by the limit definition given #int 6dx# from [4,10]?
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Stevie completes a quest by travelling from #A# to #C# vi #P#. The speed along #AP# is 4 km/hour, and along #AB# it is 5 km/hour. Solve the following?
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How do you find #lim (sqrt(x+1)-1)/(sqrt(x+2)-1)# as #x->0# using l'Hospital's Rule or otherwise?
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How do you find #(dy)/(dx)# given #cos(2y)=sqrt(1-x^2)#?
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Question #3498f
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What is the equation of the normal line of #f(x)=x^3-x^2+17x# at #x=7#?
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How do you differentiate #G(x)=(1/2x)^5#?
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How do you evaluate the integral #int dx/((2x-1)(x+2))#?
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How do you evaluate the limit #(2p+4)/(3p)# as p approaches #-2#?
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How do you differentiate #f(x)=1+x-cosx#?
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How do you find the limit #lim (2x^2-3x+2)/(x^3+5x^2-1)# as #x->oo#?
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How do you find the volume of the solid bounded by the coordinate planes and the plane 3x + 2y + z = 6?
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