Determine wheter f and are învers L41) f(x) = x-2, glx)=

Q: Differentiate f(w) = sinw + w²tan-1w

A: We have to find differentiation of given function.

Q: Find fyyzz if f(x, y, 2) = cos(3y + az). Then evaluate fygazz at point (, 0, 4). COS

A: *Use chain rule

Q: Let x, y be real numbers such that xy=1x and x≠y. Prove that x^2+y^2≥2\sqrt{2}|x−y|.

A: Given: xy=1x,x≠y To find: x2+y2≥22x-y

Q: r10 xe -dx (x+2)(x+3)(x² – 1)

A: Using gaussian 5point quadrature

Q: Find (url and dive rgence the of F(xy2)=Xy2 i+ 2x Y j t z(os xyk.

A: Given: F(x, y, z) = xyz i + 2xy j + 2cosxy k To find: Curl and divergence of the given function.

Q: Assume that f and g are harmonic functions in R^n. Show that div(f ∇g − g∇f ) = 0.

A: Ans- We can start by computing the divergence of the vector field F = f∇g - g∇f:

Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: Consider the aleatory variable X with densidad: f (x) = (1/6)x 2 ≤ x ≤ 4 a)…

A: Let X be a continuous random variable with the range [a, b] then the probability density function…

Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: Finel the ralves of a anel b such that the function aV5-x tb-1 it Hax cos(TT Ix) 9 +1+ b(x²-7)…

A: Note: There is an error in question, for the given function a has 2 values but it cannot be possible…

Q: Find function's domain and range, also describe function's evel curve f(x, y) = /x² – y

A: Determine the domain of the function z = f(x, y). If z=fx,y then fx,y≥0For…

Q: For the function Hlo>x'tle, fnd a)flxth) 5bf(xth)- flx) c) f(x th)-f(x)

A: Given: f(x)=x2+6 To find: a) f(x+h) b)f(x+h)-f(x) c)f(x+h)-f(x)h

Q: Can you clarify the first part again, does it mean that the relative maximum, minima, and horizontal…

A:

Q: 1 g(u) = V5и + 8 then g' (u) =

A:

Q: GrRve the domnin f n(x)= -9-4x|usq iaeoul.ntaton

A:

Q: o let fon= (x-1)? +2; xzl a find f-(x),domain range b) confirm fof cigraph t Uning yix using…

A:

Q: For each of the following functions, find (∂z)/(∂x) and (∂z)/(∂y) (d) If z =…

A: Given: z=ax+by2+eax+by+sinax+by To find: ∂z∂x and ∂z∂y To show: b∂z∂x=a∂z∂y

Q: z-3 = and L2: 3 Find distance between lines (L₁:1=¹= x-3 3 = +1 Z-2 -2 8 =

A: This question can be solved using the concept of shortest distance between two lines.

Q: f(x.y) = x³y – . Calculate Se af and əx ду

A:

Q: The line shown in the xy-plane in the graph of y = f(x). For what value of x is f(x) = f^(-1) (x)?…

A: from graph we first find the equation of line since the line passes through (x1,y1)=(0,3) and…

Q: In Quadrant II, is – positive or negative? O Negative O Positive

A: Explanation of the answer is as follows

Q: Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x²…

A: Given function is y=cosh(ln6x3)

Q: 2 Determine the value(s) of x for which the tangent to y = x² (lnx)² is horizontal. Paragraph V BI…

A: The objective of this question is to find the value(s) of x for which the tangent to the curve y =…

Q: c) Sa* sin*x dx

A: To evaluate : The integral  ∫π43π4 sin4 x dx .

Q: 1. The following equation shows your retained information depending as a function of the hours of…

A: we have been given the function for retaining information as a function of t -'hours of study'…

Q: F Sin(ncso)- Cscrsin o) , thes the valke of 10+4).

A: