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How do you find the equation of a line tangent to the function #y=x^3+6# at (1,7)?

Question #f0f5a

How do you integrate #int e^x/[(e^x2)(e^(2x)+1)]dx# using partial fractions?

Question #93493

#7cosec theta 3 cot theta =7#,then what is the value of 7#cot theta3 cosec theta # ?

Anna is 6 ft. tall. She is walking away from a street light that is 24 ft tall at a rate of 4 ft/sec. How fast is the length of her shadow changing?

Find the polynomial #P(x)# with real coefficients such that #P(2)=12# and
#P(x^2)=x^2(x^2+1)P(x)# for each #x in RR#?

What is the integral of #int ( sin^3(x))dx#?

Question #6c76f

Wha tis the sum of the first seven terms of the geometric series #3 + 12 + 48 + 192 + ...#?

An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner?

How do you graph #r=22costheta#?

Question #084f4

Question #1fcac

Question #60f1a

Using the limit definition, how do you find the derivative of # f(x) = (x^21) / (2x3)#?

How do you find the equations of the tangents to #5x^24y^2=4# at those points where the curve is cut by #5x2y=4#?

Triangle A has an area of #18 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?

How do you find all points on the graph of #f(x)=sin^2x# at which the tangent line is horizontal?

How can you easily visualize the size of the universe?

Question #9f2d8

Question #084f4

What is the net area between #f(x) = 2/(x+1)^2 # and the xaxis over #x in [1, 2 ]#?