87; Let flxiy,2) =% Cos(Tx) + kon (s2). Then find the directional derivative of f the point Poll,l,-1) în the direction of at マーs+ 63. ST+ 6j,

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: Compute the derivative:

A: Given, ddx∫0x4+t6 dt

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: Let Ax) = 8x_+ 3x² – x + 1_. a. Determine f (x). b. Use 13a to find the equation of the tangent line…

A:

Q: бх + 5 -, is 10х + 8 The derivative of y =

A:

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

A:

Q: Verify by differentiation that

A:

Q: :) x+1 14. y= cos

A:

Q: Find the derivative. fx) = (4x - 4) + 20x - 20 O Pid - 6x1/2. 4x 1/2, 20 O fid - áx1/2. 2x 1/2, 20 O…

A:

Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

Q: -(-3 y= 2³ +9r 4 3r

A:

Q: -1 8y ¹ ($) ₁ f(x, y) = tan¯ (Duf) p = ху + 5 sin¯¹ (XY), P = (64, 8), u = 7i+6j 1024

A: Given: f(x,y)= tan-1(8y/x)+ 5Sin-1(xy/1024) Point P(64,8) Vector u= 7i+6j

Q: 3.2 2. 3t (t 8-4れt。75 ニ

A:

Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: 4) Find direction derivative f(x, y) = x2 -3xy at the point (-1,2) in the direction 0 %3D 6

A: The directional derivative of a function f(x, y) is given by Du.fx,y=fxx,ya+fyx,yb where u.=a,b is a…

Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

A:

Q: b) caleulate the lerivative of f Cx) by USing product rule flx) = (2-3x)? the

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A:

Q: 3. The function whose graph has a slant (oblique) asymptote is: x4-8x+9 c) y = x4+5 a) y = 6x² x3+5x…

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Q: I will rate, thanks!

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.