Given the function m : x→ V 3x – 1, and x>- The composite 2. functions mh : x 4x - 3, find the function h.

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

A:

Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

A:

Q: Find the convolution f (t ) *g(t) f(t)=t,g(t)=1

A: By definition of convolution we have

Q: Determine whether the function t(xry, 2)=x' +y-2 (where Y,/ and Ź are s tritly greater than 0) is…

A: Use Hessian matrix

Q: For the function f(x)=4x2-4xy+2y2, start at (xo,yo)= (2,4) and proceed according to the vertical…

A: This question is about application of differential equation

Q: Use the conditions required for a function to be a solution of a first order DE to determine if 2…

A: Consider the provided D.E, x'=x22,  x0=1 Solve the above D.E,…

Q: Find the value c in the interval [0,1] where f'(c) = f(b)-f(a)/b-a f(x) = 1/(x+1); [0,1]

A: Given,           fx=1x+1 ;  0,1

Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

A:

Q: Given the function 9x- 1 I 0 2 z -- Calculate the following values: f(- 1) f(0) %3D f(2)

A: To find the value of function for different x values

Q: Given the function f(x) = x(x – 3)(x + 2), find 1) its y-intercept: 2) its x-intercepts: 3) As x →…

A:

Q: For the given function f(x,y)=x²y³+3x³y, find a flax O 2xy³+9x² y O 3x²y²+3x³ O 6xy²+9x²

A: Given f(x,y)=x2y3+3x3y∂f∂x=∂∂xx2y3+3x3y

Q: Consider the function f(t) = 18√√t over the interval -8 < t ≤ 8.

A:

Q: Find a linear approximation of the function f(x) = V1+x at a = 0, and use it to approximate the…

A:

Q: gubanaT .X 41! J, Ca TTungJ. Given the function m : x→ 3x – 1, and x > TF functions mh : x→ 4x - 3,…

A:

Q: Q:A- Find for the following functions: - 1- 1+secy xy 1+x* 2- If y = and t = v2x + 1 %3D

A: Topic- Derivative

Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

A:

Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, co0) b. (-∞, 1] U [3,…

A:

Q: Given the functions f (2) = 3z? – x,g (x) =.h (z) = 9z, find hog (1) O - 252 %3D %3D %3D O 234 O -36…

A:

Q: Given the function: f(z) = { 4z +1 z<0 14z +2 z20 Calculate the following values: f(- 1) = f(0) =…

A:

Q: For the function f(x,y) = Əf Əx Əf 11 11 4 Əf af find and 2x + 3y' ax dy

A: Solved below

Q: Find the value of c in the interval (a,b) such that f'(c)=0 for f(x)=(x-3)(x+1)´ on[[-1,3].

A: the value of c is:-

Q: Given the functions f (z) = 3x² – x,g (x) = ;4,h (x) = 9z, find go f (-1) %3D

A: I have given an answer in step 2.

Q: Given the function g(r) = (r – 6)( – 12r + 2)'(r – 7)°, its roots are Preview and their…

A:

Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

A:

Q: (d) Show that the function T : R² →R² defined by T(Vi,v2) = (Vi – 2, vì + 2v2)

A:

Q: of Find and for the following function. f(x.y) = e 6xY In (5y)

A: The given function is: To find the partial derivative:

Q: of Find and for the following function. f(x,y) = e Y In (3y)

A:

Q: Given a function f(x,y,z) = 6x² In (8y + 9z). Find the range of the function. O z > -0.89y o [1,…

A:

Q: Q2: Let f(x) = 2x e-,x> 0 and Let Y = X2.Find G(y)and g(y). %3D

A: Implicit functions are the functions are not directly expressed, these are always expressed in terms…

Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

A:

Q: Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as…

A: Solve for the antiderivative

Q: For the function f(x,y,z) = 1 + 2xy¹ − 325, find fx, fy, and f₂.

A: Given query is to find indicated partial derivative.

Q: Q1: Find and : for the function ax af ду f(x, y) = x+y %3D y2+x3

A:

Q: Consider the function h : Nx N → Z given by h(n, m) = 2n² . m. What is the image of h? Prove your…

A: Introduction: A function has a domain and a range. The domain is the set of all input values of the…

Q: Consider the function f(x, y) = e-x²-y² defined on the rectangle -2<xs 2, -1 <y < 1.

A: In this question, we find the absolute maxima and minima by using suggested steps.

Q: Find the critical points of the function f(x, y) = x² + y² + 6x – 2y + 2. List your answers as…

A:

Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

A:

Q: For the function f(x,y) = -6x² + 4xy – 6y + 8x + 8y + 5, find and classify all critical points.

A: we have to find and classify all critical points

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

A:

Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: Find the solution using homogenous function substitution of the following DE Show that 2xyy' == x² +…

A:

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

A:

Q: Which one of the following is an antiderivative of the function f(x)=sec² (2x+1)

A:

Q: a. by using the appropriate Chain Rule and b. by converting w to a function of t before…

A:

Q: Find a function r(t) for the line passing through the points P(0,0,0) and Q(3,4,5). Express your…

A: Given : P ( 0,0,0,)  Q ( 3 , 4, 5 )

Q: Find the linear approximation of the function f(x) = V1-x at a = 0 and use it to approximate the…

A:

Q: For the given function f(x,y)=x²y³+3x³y, find a flay

A:

Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: B- Obtain PDE by eliminating the arbitrary functions from the following; 1. z = xf1(x + t) + f2(x…

A: The partial derivative of the function z=f(x,y) is denoted as follows:…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.