Show that sin x dx=1-cos t (0

Q: A tank is filled with a fluid with density 54 The cross-section of the end of the tank is given by…

A: The slice is shown below:The volume of slice is,

Q: VECTOR DIFFERENTIATION: If A = cosxyi + (3xy -2x^2)j –(3x +2y)k find dA/dx, dA/dy, d^2A/dx^2,…

A: I am attaching image so that you understand each and every step.

Q: Describe a differentiable bijective function from {(x, y) ∈ R^2 |x^2 + y^2 < 1} to {(x, y, z) ∈ R^3…

A: Hey in order for you to understand better we have attached pics of the solution rather than stating…

Q: Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the…

A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

Q: Use integration to find the area of the triangular region having the given vertices. (0, 0), (8, 0),…

A:

Q: The area bounded by the curves x = 2y and x^2 + 4y - 8 = 0* x = 2y

A: To find the area bounded by the curve.

Q: enclosed

A:

Q: Find the area of the region bounded by the curve y = 14 x²_ - 4x-45 the x-axis, and the lines x = -3…

A: