59,485 Answered Questions for the topic Math

Math Calculus

12/24/23

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right by the graph of g(y)=9√y and on the left by the y-axis for 0 ≤ y ≤3, about the x-axis.
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Math Calculus

12/24/23

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right by the graph of g(y)=4/y and on the left by the y-axis for 2 ≤ y ≤7, about the x-axis.

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Math Calculus

12/24/23

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the graphs of y=x, y=7-x, and the x-axis about the x-axis.
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Math Calculus

12/24/23

Use cylindrical shells to find the volume of the solid generated by rotating the curve y=4ln(x) about the x-axis for 1 ≤ x ≤ e.
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12/24/23

Suppose that R is the finite region bounded by f(x)= √x and g(x)= x/3. Find the object's exact volume when rotating R about the x-axis. Find the exact volume when rotating R about the y-axis
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12/24/23

Suppose that R is the finite region bounded by y=x, y=x+2, x=0 and x=3. Find the exact value of the volume of the object we obtain when rotating R about the x-axis.
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Math

12/23/23

what 2 numbers when multiplied = -12 but added = -3?
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Math

12/23/23

what 2 numbers multiply to -12 but adds to -3
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12/23/23

Find the volume of the solid obtained by rotating the region bounded by the curves y=x^2 & y=1 about y=3
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12/22/23

Basic partial derivative verification question
I have F=y'(1+x2y'), and I need to find ∂F/∂y and ∂F/∂y'The answer I get for ∂F/∂y is 0, which is the correct one. However for ∂F/∂y' I should get 1+2x2y', but for some reason I get 1+2x2y'+y'x2.... more
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12/22/23

A ball of radius 14 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
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Math Calculus

12/22/23

Find the volume formed by rotating about the y-axis the region enclosed by: x=4y and y^3=x with y>=0
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Math Calculus

12/22/23

Find the area of the region bound by the curves 2y= 4√x , y=3 & 2y+1x=5
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Math Calculus

12/22/23

Integrating with Respect to Y to find the Area Between 2 Curves Problem
Goal: Find the area of the region enclosed by y=2.25x and x=4--y2 by integrating with respect to y.A) First find the y coordinates of the two points where y=2.25x meets x=4--y2B) Integrate using... more
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Math

12/22/23

Factor 24b+36c+28. Write your answer as a product with a whole number greater than 1.
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Math

12/21/23

How many pieces of string can i cut if i have 10 feet of string an want to cut 5/6

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Math

12/21/23

i need help[pppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Translate this sentence into an equation.39 is the product of Jose's age and 3.Use the variable j to represent Jose's age.
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12/21/23

Solving a tricky integral in a simple way
I've been told that this tricky integral is fairly easy to solve with Laplace transform:However, I am not sure on the solution itself after taking the Laplace transform of the integral. Could... more
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Math Calculus

12/21/23

There is a line through the origin that divides the region bounded by the parabola y = 2x - 4x^2 and the x-axis into two regions with equal area. What is the slope of that line?
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12/21/23

Solving system of diff equations using elimination
I am trying to solve this system of differential equations via elimination method but I am stuck. Any help on arriving at correct solution.
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Math

12/21/23

given to the function f(x)=-4x+2 graph g(x) under the transformation g(x)=f(x-2)
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Math

12/21/23

x 2 − 13 x = − 30 is equivalent to:
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Math

12/21/23

NASA launches a rocket at t = 0 t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 136 t + 325 , what time does splashdown occur?

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Math Calculus

12/21/23

solve for the max area of a rectangle inscribed in a circle with a radius of 8
thanks !
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12/20/23

Solving an interesting integral using residue

I have this interesting integral to solve using residues. So far I have only noted that cos(x)=Re(eix), but I can't seem to arrive at the full solution. I would appreciate any help.
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