Let f(x1, x2, X3)=( x1³ + x2, x1² + x3). Find df(1,2,3)(-3, –2, –1).

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

A: By definition of convolution we have

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 8xy

A: Given function is f(x, y) = 5xe8xy

Q: Let f(x) = 2x e¯x*,x > 0 and Let Y x2. Find G(y)and g(y). %3D

A: In this question,  we need to transform the variable in the probability density function.

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A: f(x)=∫0xt3+2t2+2dt

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Q: Find the Linearization L(x) of the function f(x) = 3√1 +x a = 0 and use it to approximate the…

A: Let's find.

Q: Express ax + bx + c as a linear combination of the functions f(x) = 3, g(x) = 4x, and h(x) = -x²,…

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Q: Find f '(2), where f (t) = ü(t) · i(t), ü(2) = (1,2,–1), ū'(2) = (3,0,4), and v(t) = (t, t?,t3).

A: To find out the f'(2)

Q: The linearization of f (x) = x² based at 3 is L (x) = [ Select ] [ Select ] (x - [ Select ] Done […

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Q: Express ax2 + bx + c as a linear combination of the functions f(x) = 5, g(x) = 4x, and h(x) = -x²,…

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Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: Let f(æ1, x2, X3)=(x1³ + x2, x1? + x3). Find df(1,2,3) (-3, –2, –1)

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Q: Express ax? + bx + c as a linear combination of the functions f(x) = 2, g(x) = 3x, and h(x) = -x²,…

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Q: Let f(x, y) = ax²y + 3xy³ – 4x³ + axy. Find the value of a if fy(1, –1) = 13.

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Q: Consider the function f(x)=/25–x². a. Find the linearization L(x) of f(x) at x = 3.

A: Given function , f(x) =25-x2Linearization of f/9x/0 at x=a is given by L(x) = f(a)+(x-a) f'(a)

Q: Find the linearization L(x)of the function at a .

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Q: Show that f dx = xV-1 + C

A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x)…

Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: =) Let h(x) = (-3x - 2)' and f(x)=Vx, find g(x). %3D | II

A: For a,b,c and d:Let h(x)=f∘g(x)(a)h(x)=2x-52 and f(x)=x2Then, our aim is to solve g(x)=?Since,…

Q: Let f(x, y) = e²x* %3D Evaluate f(3, 5)

A: Given :   f ( x, y) = exy x4   point ( 3,5)

Q: Find y as a function of a if r'y" - 5ay + 9y = r, y(1) = 9, y'(1) = 3.

A: Given: x2y ''-5xy'+9y=x9, y(1)=9, y'(1)=3 Consider Homogenous differential equation  x2y''-5xy'+9y=0…

Q: Let R = [-1,1] x[-1,1]. Come up with any functionf(x,y) satisfying )dA < 0.

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Q: Let f(t) = t*e3. 4

A: Differentiate w.r.t to t

Q: let f(x) = ax+b divided by cx+d.   What conditions on a,b,c, and d guarantee that f^-1 exists?…

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

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Q: Compute f(g(x)), Where, f(x) = 2x + 7, g(x) = 6x, %3D %3D A 2x + 7 E 2x 6x + 7 F 6x C 12x + 7 12x…

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Q: Find f, and f, for f(x, y) = 9(5x-8y +3)°. fx (x.y) =D

A: We have to find partial derivative

Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: • The Doman of f(x) = 4 – Vx is 1. (2, 0) 2. [-2,0) 3. [2, 00) 4. [-2,2]

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Q: Let F (x) = In tdt then F'(x) = 9xex-2x'e 9xex- 2x²e? 3xex-2x e* 3xe-2x²e*

A: In this question we have to find the differentiation of a function which is integration of a…

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

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Q: If f(æ) = (t3 + 2t2 + 5), dt then f'"(x) %3D

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Q: Let f:R → R given by f(x) = 2x² and A = [-3, 1] U [2, 4]. Then f(A) is

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Q: Let f be a linear function. If f(-3)=9 and f(2) =-11, find f(x). O A. f(x)= 4x-19 O B. f(x) = 4x+ 21…

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Q: Let f(x) = 3x + 1, x¡ = -1, x2 = 0, x3 = 1, x4 = 2, and %3D %3D %3D 5. X5 = 3. Find E f(x;).

A: 41. According to question,fx = 3x + 1,x1 = -1,x2 = 0,x3 = 1,x4 = 2,x5 = 3 “Since you have asked…

Q: Find the local linearization of f(x) = x²at -3. L 3(2) =U

A: Given that

Q: Find the linearization L(x) of the function at a. f(x) = x³ - x² + 7, a = -3 L(x) =

A: The solution for the above equation is as shown below.

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

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Q: Find the natural spline for the data: x0 = 0, x1 = 1, x2 = 2, and f(x0) = 1.2, f(x1) = 1.3, f(x2) =…

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Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

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Q: Let F (x) = In tdt then F'(x) = et3 6xe – 3x'e 3xe* – 3x'e

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Q: Let f(x,y) = 2* + 6xy, find f(0, – 3), f(– 3,2), and f(3,2).

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Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

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Q: Find a function f and a number a such that f(t) -dt = 6x- 16 2+ a f(x) = a =

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Q: Let f(x, y) = e"r³ Evaluate f(3, 0)

A: The function of two variables  x and y will be of the form,   The function value of this kind of…

Q: Find the linearization L(x) of f(x) at x = a. 3 36) f(x) = x, a = 27

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Q: Find the linearization L(X) of the function at a. f(x) = x2/3, a = 64 %3D L(x) =

A: