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Calculus
let f(x)={3x^2,x<=1}{ax+b,x>1} Find the value of a and b so that f is differentiable at x =1
Calculus
Prove that limit x approach to 1 (28/(4x+3))=4
Calculus
Use cylindrical shells to find the volume of the solid that results when the region enclosed by x = y^2 and x = y is revolved about the line y= -1
Calculus
The base of a certain solid is the region enclosed by the semicircle x^2+y^2=9 for x is less than or equal to 0 and greater than or equal to 3. Every cross section taken perpendicular to the x axis is a semicircle with its diameter across the base. Find the volume of the solid.
Calculus
Find the arc length of the curve x=y^4/8+1/4y^2 from y=1 to y=4
Calculus
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, and 3 + 9i
8, -14, and 3 + 9i
Calculus
g(x)=0.5∣x+2∣
Calculus
The base of a certain solid is the region enclosed by the semicircle
Calculus
Prove using Rigorous definition of two-sided limits
lim┬(x→1)〖28/(4x+3)〗=4
lim┬(x→1)〖28/(4x+3)〗=4
Calculus
A conical funnel is 14 centimeters in diameter and 12 centimeters deep. A liquid is flowing out at the rate of 40 cubic centimeters per second. How fast is the depth of the liquid falling when the level is 6 centimeters deep?
