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Is #f(x)=cosx# concave or convex at #x=pi/2#?

How do you evaluate the limit #2t^2+8t+8# as t approaches #2#?

If the work required to stretch a spring 1 foot beyond its natural length is 12 footpounds, how much work is needed to stretch it 9 inches beyond its natural length?

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?

How do you find the critical points and local max and min for #y=4xx^2#?

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?

How do you find the limit of #3x^32x^2+4# as #x>1#?

Question #88a84

How do you use the limit definition to find the derivative of #f(x)=sqrt(x+1)#?

How do you differentiate #G(x)=(1/2x)^5#?

How do you find the Maclaurin series for f(x) using the definition of a Maclaurin series, of 4 sinh(4x)?

What is the derivative of this function #y=sec^1(x^7)#?

How do you evaluate the integral #int dx/((2x1)(x+2))#?

Question #eb797

What is the 7th partial sum of #sum_(i=1)^ā 6(3)^(i1)#?

WHat is the largest cylinder of radius, #r# and height #h# that can fit in sphere of radius, #R#?

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?

How do you find the area using the trapezoidal approximation method, given #sqrtx#, on the interval [1,4] with n=3?

How do you solve #x^3+4x^2>x+4# using a sign chart?

How do you find f'(x) using the limit definition given #sqrt(2x)  x^3 #?

How do you find the angle between the vectors #u=<3, 2># and #v=<4, 0>#?

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?

Question #3498f

How do I find the intersection of two lines in threedimensional space?

How do you find the indefinite integral of #int x(5^(x^2))#?

What is the equation of the normal line of #f(x)=x^3x^2+17x# at #x=7#?

How do you find the inverse of #A=##((1, 1, 2), (2, 2, 2), (2, 1, 1))#?

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?

How do you evaluate the definite integral by the limit definition given #int 6dx# from [4,10]?

How do you use Newton's method to find the approximate solution to the equation #tanx=e^x, 0<x<pi/2#?

How do you factor #2x^23x9#?

How would you use the Maclaurin series for #e^x# to calculate #e^0.1#?

How do you find the limit of # ((x/4)+3) # as x approaches #6#?

How do you differentiate #f(x)=1+xcosx#?

How do multiple integrals work?

How do you sketch the graph #y=x^34x^2# using the first and second derivatives?

How do you find the derivative of #y=ln ln(3x^3)#?

How do you find the antiderivative of #abs(2t4)#?

How do you find #\int _ { 1} ^ { 16} \int _ { 1} ^ { 4} ( \frac { x } { y } + \frac { y } { x } ) d y d x#?

How do you find the indefinite integral of #int csc^2t/cott dt#?

How do you use Newton's method to find the approximate solution to the equation #2x^5+3x=2#?

How do you find the area enclosed by the xaxis and the given curve #y=(6/x)# for x between 4 & 2?

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?

How do you find an equation for the line tangent to the circle #x^2+ y^2 =25# at the point (3, 4)?

How do you factor quadratic equations with a coefficient?

How do you find the volume of the solid bounded by the coordinate planes and the plane 3x + 2y + z = 6?

How do you find the antiderivative of # cos 5 x#?

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#?

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?

How do you evaluate the limit #(2p+4)/(3p)# as p approaches #2#?

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?

How do you use the definition of a derivative to find the derivative of #f(x) = x#?

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#?

What is the general solution of the differential equation #(x+y)dxxdy = 0#?

How do you find the line to the tangent to the curve #y=9x^2# at the point (3,1)?

Question #116b5

Question #59b21

Question #be944

How do you find #(d^2y)/(dx^2)# given #y^2=(x1)/(x+1)#?

How do you find all solutions of the differential equation #(d^2y)/(dx^2)=3y#?

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 yaxis?

Calculus Word Problem?

How do you find the derivative of #y=x^nlnx#?

Question #adbb5

How do you find #(dy)/(dx)# given #cos(2y)=sqrt(1x^2)#?

How do you solve #\int _ { 0} ^ { 2\pi } \int _ { 0} ^ { 6} 3r ^ { 2} \sin \theta d r d \theta#?

Find the partial derivatives of #m = ln(qh2h^ 2)+2e(qh^2+3)^47 #?

Evaluate # int_0^pi(2+ sinx)dx#?

What is #  < 2 , 3 , 1 >  #?

How do you find #lim (sqrt(x+1)1)/(sqrt(x+2)1)# as #x>0# using l'Hospital's Rule or otherwise?

How do you find the limit #lim (2x^23x+2)/(x^3+5x^21)# as #x>oo#?

How do you use the limit definition of the derivative to find the derivative of #f(x)=3x7#?

How do you differentiate #y= (3+2^x)^x#?

How to you find the general solution of #dy/dx=xe^(x^2)#?

How do you find the equations for the tangent plane to the surface #xy^2+3xz^2=4# through #(2, 1, 2)#?

Show that #y=2/3e^x+e^(2x)# is a solution of the differential equation #y'+2y=2e^x#?

How to find instantaneous rate of change for # y=f(t)=16(t^2)+59t+39# when t=1?

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