07/21/21

What is the area of the region in the first quadrant?
Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve  y= 1/sqrt(x) and the x-axis.
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07/21/21

Trigonometric Functions & Equations
A small windmill has its center 6 𝑚 above the ground and blades 2 𝑚 in length. In a steady wind, a point 𝑃 at the tip of one blade makes a complete rotation in 12 𝑠. a) If the rotation begins at... more
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07/21/21

Dimensions of Rectangle

Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r=9.What are the dimensions of the rectangle?
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07/21/21

Calculus triple integral
Find the volume of the solid bounded below by the plane z = 1 and above by the sphere x^2+y^2+z^2=5^2.Write your answer as an exact value in terms of π.
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07/21/21

Calculus triple integral
Find the mass of the solid bounded below by the circular cone z=√x^2+y^2 and above by the hemisphere z=√3.25^2−x^2−y^2 if the density ρ(x,y,z)=√x^2+y^2+z^2.Write your answer in terms of π.
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07/21/21

Calculus 3 Triple Integral
Find the center of mass of the solid S bounded by the paraboloid z=3x^2+3y^2 and the plane z=11. Assume the density is constant.
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07/21/21

Calculus triple integral
Find the mass of the solid bounded below by the circular paraboloid z=x^2+y^2 and above by the circular paraboloid z=3.25−x^2−y^2 if the density ρ(x,y,z)=√x^2+y^2.Write your answer in terms of π.
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07/20/21

range of the function y = 2 - 3^[4(x - 5)]
What is the range of the function y = 2 - 3^[4(x - 5)]
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07/20/21

Find a vector 𝑣⎯⎯⎯ v ¯ that is perpendicular to the plane through the points 𝐴=(2,1,−1) A = ( 2 , 1 , − 1 ) , 𝐵=(−2,3,0) B = ( − 2 , 3 , 0 ) , and 𝐶=(−5,−3,−5) C = ( − 5 , − 3 , − 5 ) .
Find a vector  that is perpendicular to the plane through the points
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07/20/21

Calculus Question. Please help!
 Write the equation of the cosine function that models the values in the following table.x 0 5 10 15 20 25 30--------------------------------------------------------y -5 -8 -11... more
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07/20/21

Find the divergence of the vector field F
Find the divergence of the vector field F= (-yz, xe^y,e^x + z²) using the definition div F V F. Show all steps in finding this dot product, do not use a shortcut formula.
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07/20/21

Calculus 3 Triple Integrals
Find ∫∫∫Ey dV, where E is the solid bounded by the parabolic cylinder z=x^2 and the planes y=0 and z=13−2y
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07/20/21

Calculus 3 Triple Integrals
Find ∫∫∫E zdV, where E is the solid tetrahedron with vertices (0,0,0), (5,0,0), (0,1,0), and (0,0,2)
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07/19/21

Differential equation
prove that eax cos(bx) and eax sin(bx) would be linearly independent solutions of the equation d2y/dx2 − (α1 + α2)dy/dx + α1α2y = 0when α1 = a + bi and α2 = a − bi, where b≠0.
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07/19/21

Other Applications of Integration
1. The area bounded by the parabola ay = x2 and the line y = b is revolve about the x − axis. Find the volume generated. (use cylindrical shell method)2. How far from the x-axis and y-axis is the... more
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07/19/21

Suppose ln(1 + 4x) is expressed as a power series, centered at zero. What is the radius of convergence?
Suppose ln(1 + 4x) is expressed as a power series, centered at zero. What is the radius of convergence?
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07/17/21

find the number of terms please help
For the series below calculate find the number of terms n that must be added in order to find the sum to the indicated accuracy.∞∑n=1 (−1)^n(2) / n^0.8)|error| < 0.01
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07/16/21

Solve the differential equation

solve the differential equation x^2y+xy'+zy=0
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07/16/21

Evaluate the given function

Letf(x) = √In(t)dt(a) Evaluate f'(10) =(b) Evaluate (f ^-1)'(0) =
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07/15/21

Calculus double integrals
Find the volume of the solid bounded by the paraboloids z=−4+x^2+y^2 and z=9−2x^2−2y^2
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07/15/21

instantaneous rate of change

Find the slope of the line tangent to the graph of the function at the given value of x. y=x^4+2x^3+2x+2 at x=-3
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07/15/21

Directional derivatives
find the directions in which the functions increase and decrease most rapidly at Po. Then find the derivatives of the functions in these directions.19. f(x, y) = x² + xy + y²,Po(-1, 1)
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07/14/21

Hello I need help with this question..
Find and list all critical values and identify the absolute maximum and minimum values of the function f(x,y)=x^2y over the region in the xy-plane bounded by the graphs of y=x^2 − 9 and y=x + 3 .... more
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07/14/21

Calculus 3 double integrals
Find the volume of the region under the surface z=xy^2 and above the area bounded by x=y^2 and x-y=2
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07/14/21

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0 , y = 1 , x = y^6 , about the line y = 1 .
I am needing help with figuring this out im lost
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