Compute the lux of water through the OSIS3 if the velocity vector is v meters'sec. ( Generally. F- pv, but water has the density p-I g/cm'-I ton/m'. F- 132', 6 6x::], speed heing measured

Q: A 13-ft ladder is leaning against a wall. If the top of the ladder is falling down along the wail at…

A: Given: The length of the ladder is 13 ft. The rate at which the ladder is sliding is, dxdt=-2 ft/sec

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the…

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify…

A: Use tangent plane formula

Q: What is the laplace trasform of f(t)= (e^-4t)cosh4t

A: Laplace transformation is the integral transformation that converts a function of real variable to a…

Q: Find the equation of the tangent plane to z=e^y+x+x^2+10 at the point (2,0,17).

A:

Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

A: The objective is to find the equation of the tangent line.

Q: Show that the tangent at P(x,,y,) on the curve -1 Vx+Jy=Ja is yy, ,=a

A:

Q: An object moves rectilinearly so that its velocity at “t” seconds is: V (t) = 4+ t + 2t ^ 2 m / s.…

A: Here we will find out the required values.

Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

A:

Q: A baseball leaves the hand of a pitcher 6 vertical feet above and 60 horizontal feet from home…

A:

Q: 2. Find the equation of the tangent plane to f(x,y) = sin(x² +y) when x = 0, y = T. 3 and r - cost

A:

Q: Let c(t) = (t^3 + 1, t^2 − 4t). Find:(a) An equation of the tangent line at t = 3

A: c(t)=t3+1 , t2-4t

Q: 2) A particle is moving along the curve whose equation is 1+ Assume that the x-coordinate is…

A:

Q: A particle moves along the path y = x^3 with unit speed. How fast is the tangent turning (i.e., how…

A:

Q: Find the unit tangent vector (t) at the point with the given value of the parameter.. r(t) = (4te,…

A:

Q: onsider the curve described by the vector-valued function:…

A:

Q: For the function f(x,y)=4e^(4x)sin(y), find a unit tangent vector to the level curve at the point…

A: Consider the given function, fx,y=4e4xsiny now, find the partial derivatives,…

Q: [6 Let j = 1 and i = Write j as the sum of two orthogonal vectors, i in 8 Span{u} and i2 orthogonal…

A:

Q: A small object is thrown from a balcony. Find v(t), the velocity of the object at time t, if a(t) =…

A:

Q: 9. A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the…

A: Recall: Linear velocity , v=r ω ; where 'ω' is an angular velocity and ω=2πf

Q: g"(x) sin(x- 1) Z-1 kx - 8x + 6, -4 13 h(x) = -1 10 x> 3 8. 3. -1 (E) Find all x value(s) on the…

A: We will use given graph and table to find values . Note : According to guidelines maximum 3 subpart…

Q: EVaLuateAt W= X X=cos't Y=cost sin

A:

Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2…