X f(x) 0,0 0,5 1,0 2,119 1,0 15 20 2,910 3945 5,72 2,5 8,695

Q: Differentiate the following hyperbolic functions

A: Consider the given hyperbolic function y=log5sinh e9x2.

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (14x² – 11y) at the point (1,…

A: Let us considre a two variable function z=f(x,y)  Then the equation of tangent plane  at (a,b) is…

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: 12 of 17 > Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point…

A: We have to find equation of tangent plane for the given Curve.

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

A:

Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

A:

Q: ) Find y' sin)= 8x+y

A:

Q: y = x – 2 + Ce* X-

A:

Q: Rearrange the equation to isolate (a + b) (d_e) = f a

A: (a+bc)(d-e)=f(ac+bc)(d-e)=f

Q: Find y' of cot (xy2) + xy = x².

A: Given query is to find derivative of the expression.

Q: apply shifting property of laplace in the equation f(t)= t cos 2t and f(t)=t^2e^-3t

A: To apply the shifting property of Laplace in the given equations.

Q: (:' } - 8) zp - Vz(z – 2)

A: We use the difference of cube formula for numerator

Q: Justify the hyperbolic function based on the six hyperbolic functions: 1. sinhx coshx

A: To Examine: whether sinhx=coshx or not, using the definition of the hyperbolic function.

Q: Ax) = (5x* - 3x)(2x° – 7x) en x =

A:

Q: i got sqrt(2)pi but it's incorrect need help finding y'(0) on part D.

A:

Q: show that another form of Euler-Lagrange equation is fy-fy¹x fytyy! - fyyry"

A: To prove that another form of the Euler-Lagrange equation is…

Q: Parameterize the line from (-1, 5) to (2, 3) so that the line is at (-1, 5) at t = 0, and at (2, 3)…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…