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Question #a1395

Consider the curve defined by the equation #y+cosy=x+1# for #0≤y≤2pi#, how do you find dy/dx in terms of y and write an equation for each vertical tangent to the curve?

How do you integrate #int lnx/x^5# by integration by parts method?

Question #ba5c4

How do you implicitly differentiate #1=(x+y)^2xye^(3x+7y) #?

From a unit sphere, the part between two parallel planes equidistant from the center, and with spacing 1 unit inbetween, is removed. The remaining parts are joined together facetoface, precisely. How do you find the volume of this new solid?

What is a solution to the differential equation #dy/dx = 1  0.2y#?

What is parametric equation of the line created by the intersecting planes x = 2 and z = 2?

Given #(sin(2x)) / x# how do you find the limit as x approaches 0?

What is a solution to the differential equation #dy/dx=(1+x)/(xy)# with y(1)=4?

What is the derivative of #sqrtthetasintheta#?

What is the equation of the normal line of #f(x)= x/sqrtsinx# at #x = pi/8#?

How do you evaluate the limit #(x/(x+2))^x# as x approaches #oo#?

What is the derivative of #1/(1+x^4)#?

Question #46f42

How do you evaluate the integral #int e^(absx)# from #oo# to #oo#?

Let R be the region in the first and second quadrants bounded above by the graph of #y=20/(1+x^2)# and below by the horizontal line y=2, how do you find volume of the solid generated when R is rotated about the xaxis?

A force field is described by #<F_x,F_y,F_z> = < xy +z , xyx, 2y zx > #. Is this force field conservative?

How do you determine if #f(x) = 2x^2  2# is an even or odd function?

How do you find parametric equations for the line of intersection of two planes 2x  2y + z = 1, and 2x + y  3z = 3?

What is a solution to the differential equation #y'+y/x^2=2/x^3#?

What is a solution to the differential equation #dy/dx=2yx+yx^2#?

Question #3b7a3

How do you find the limit of #(sin²x)/(x)# as x approaches 0?

Find the volume of the region bounded by y=sqrt(zx^2) and x^2+y^2+2z=12?

How do you use the limit definition to find the slope of the tangent line to the graph #f(x) = sqrt(x+1)# at (8,3)?

How do you find the volume of the solid bounded by the coordinate planes and the plane #7x+y+z=4#?

What is a general solution to the differential equation #dy/dx=102y#?

How do you find the limit of # 1/ x+e^(1/x)# as x approaches 0?

How do you find the limit of #(1)/(x2) # as x approaches #2^+#?

How do you find the power series for #f(x)=int t^2/(1+t^2)dt# from [0,x] and determine its radius of convergence?

Is there a difference between vibration and waves?

How do you integrate # (x1) e^(x^2+2x) dx#?

How do you integrate # ln(sqrt(x)) #?

Question #fb85a

How do you determine the limit of #sinh(2x)/e^(3x)# as x approaches infinity?

What is a solution to the differential equation #dy/dx=e^x/y# with y(0)=1?

A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

How do you find #(dy)/(dx)# given #lny=xe^x#?

How do you find the arc length of the curve #f(x)=x^3/6+1/(2x)# over the interval [1,3]?

How do you find the power series for #f(x)=int(ln(1+2t^2)dt# from [0,x] and determine its radius of convergence?

Question #50cc1

How do you find the definite integral for: #tln(t) dt# for the intervals #[1, 10]#?

How do you differentiate #y= e^(1x) #?

What is a solution to the differential equation #sqrtx+sqrtyy'=0# with y=4 when x=1?

How do you evaluate the integral #int tan theta d(theta)# from 0 to #pi/2#?

How do you find the arc length of the curve #y=x^2/2# over the interval [0, 1]?

What is a particular solution to the differential equation #dy/dx=cosxe^(y+sinx)# with #y(0)=0#?

How do you simplify #z^6 = a + bi# given #z = sqrt 3 + i#?

What is a solution to the differential equation #y'=3^y(2x4)# and y(5)=0?

How do you convert #(y = 2 + x)# to parametric equation?

How do you find the power #(2+2i)^3# and express the result in rectangular form?

How do you evaluate the integral #int x^1000e^x# from 0 to #oo#?

How do you find the limit of #x^(sin(x))# as x approaches 0?

Question #fe77f

What is #f(x) = int x/sqrt(x^21) dx# if #f(3) = 0 #?

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

How do you find the volume of the solid bounded by x^2+y^2=4 and z=x+y in the first octant?

A harmonic oscillator of mass 60 g has a period of 10 seconds. What should the mass be in order to reduce the period to 5 seconds?

What law defines the concept that an object in motion will continue in motion unless it experiences a net external force?

What is #f(x) = int xsinx dx# if #f(pi/4)=2 #?

How do you use the second fundamental theorem of Calculus to find the derivative of given #int 3/t^2 dt# from #[1,x]#?

How do you differentiate #f(x) = e ^ (2(e^(t)  1)#?

Using the limit definition, how do you find the derivative of #f(x) = x/(x+4)#?

How do you find the limit of #(sin2x)/x# as x approaches infinity?

Let R be the shaded region in the first quadrant enclosed by the yaxis and the graphs of #y=4x^2# and #y=1+2sinx#, how do you find the volume of the solid whose base is R and whose cross sections perpendicular to the xaxis are squares?

How do you use the Fundamental Theorem of Calculus to find the derivative of #int (u^3) / (1+u^2) du# from 23x to 5?

The kinetic energy of an object with a mass of #2 kg# constantly changes from #8 J# to #136 J# over #4 s#. What is the impulse on the object at #1 s#?

Question #d78f0

How do you find the antiderivative of #cos^4 x sin(2x) dx#?

What is a solution to the differential equation #dy/dx=(3y)/(2+x)#?

How do you find the limit of # sin(7x)/x# as x approaches 0?

How do you differentiate #g(y) =(x2x^2)e^(3x) # using the product rule?

How do you use the Fundamental Theorem of Calculus to find the derivative of #int sqrt(1+ sec(t)) dt# from x to pi?

How do you differentiate #cos(x^2)#?

How do you find the definite integral of #2x* (x3)^5 dx# from #[1, 2]#?

Are there any equation for 2d motion and if present what are they?

What is a general solution to the differential equation #y'=2+2x^2+y+x^2y#?

Question #24b79

How do you find all solutions to #x^3(1i)=0#?

What is a solution to the differential equation #dy/dx=(x+y)/(xy)#?

What is the limit as x approaches 0 of #(2x)/tan(3x)#?

Question #d076b

How do you integrate #int xarcsinx^2# by parts from #[0,1]#?

What is a general solution to the differential equation #y'+2xy=2x^3#?

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