Suppose that the functions u and w are defined as follows. u (x) = 2x+2 w (x) =x²-2 Find the following. (u w)(-1) = 0 (wo2)(-1) = 0 W O %3D

Q: 13. If f(x) = 1 / (5 + 7x) , find S f(x) by using a u-substitution. Show the u-substitutions.

A: Given, fx = 15 +7x  We have to find ∫fx using u substitution

Q: can you solve this question please

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Q: 出w-2 Verify that Wメy Wyx for the functions's T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

A: Since you have posted multiple question at a time as per guidelines we can solve only one question…

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: Evaluate the given function using homogeneous x- yArctan () dx + xArctan () dy = 0 A. 2yArctan ()…

A: We need to find solution of differential equation using homogenous.

Q: The function f(æ) has a continuous second derivative, and it satisfies f(8) = 0, f'(8) = 0 and f"(8)…

A: Answer is- Option C is correct

Q: 6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that ext for all x > 0, if…

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Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

Q: The critical point of the function f(x, y) = x² – 4xy+ 2y² + 4x + 8y – 1 is: Select one: О а. (4, 6)…

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Q: Example H·W: for f(x,y) = cos(xy) - x3 + y compute fxyy, fxxyy

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Q: If L(x)=mx+b is the linearization of f(x)=2x³ - x +3 at x-1, then m= Using L to approximate 2(1.01)…

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Q: 5. Find the linearization, L (x) f (a) + f' (a) (x – . a) of the given function "f" at "a". %3D - f…

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Q: If f (x) is an invertible, differentiable function with tangent line y = 4 x + 7 at the point (0, 7)…

A: we have to swap variable for finding the inverse function

Q: The function g(x) = ln(x³ – 1) defined on V2, 0) is not zero unless x 2.

A: Given statement

Q: If L(x)=mx+b is the linearization of f(x) 2x-x +3 at x-1, then m3 Using L to approximate 2(1.01)…

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Q: Suppose (0) (ii) (iii) X, has a pdf f(x₁) = x₁²e-x²³/ 16 0 X₂ has a pdf f₂(x₂)=< $₂² 4 0 X, and X,…

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Q: If f (x, y) = Vr³ + y³ In(x² + y²)e*in (zy+y') + x³y+ 10 , then f. (1,0) =

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 25. For y = f(x) = x2 - 3, x = 5, and Ax = 0.1, find Ay and f'(x) Ax. %3D

A: Given: fx=x2-3 ,x=5 and ∆x=0.1

Q: The function f(x)= (x² – 1)³, is decreasing on the interval (- 00 , – 2) U (0,2) ^O (-1,0)U (1, ∞o )…

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Q: 2. Find the linearization L(x) of f(x) = x³ - 2x + 3 at x = 2 and use it to approximate f(1.9) and…

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Q: 8. Consider the function f(x)=/25-x² . a. Find the linearization L(x) of f(x) at x=3.

A: Given expression is , fx=25-x2 to find out the linearization L(x) of f(x) at x=3.

Q: 1 Find f(1) if f(t) dt = x" - x + 2x? – 2, x >1.

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Q: Find the most general antiderivative of the functions: 1)f(X)= 2secxtanx-3sinx 2)f(X)=…

A: (1) Given, f(x) = 2secxtanx-3sinx  ∫f(x)dx = ∫(2secxtanx-3sinx )dx               = ∫(2secxtanx)dx -…

Q: 1 1 Select all the antiderivatives of f(x)=-+ %3D x² +1

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: Can i get help step by step please

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Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

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Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

Q: 1. Find grad f for the given function below. Ax, y, z) = 5xy + 3yz – 4zx

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: Determine all critical points for the function. T(x) = x3 - 3x? + 8 O A. x= - 1 and x = 1 O B. x= 0…

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Q: a.) If     f(x) dx   = 4x9 − 8x6 + C, find f(x). f(x) =

A: Given: ∫fxdx=4x9-8x6+c                                          ..1 for finding fx, we differentiate…

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

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Q: 9) The Wronskian of the functions f(x) = -5, g(æ) = 7x² y h(x) = e3 is given by a) W(f(x), g(x),…

A: The details calculation is given below

Q: H(x, y)  =  ln(3x2 + 9y2) (a) Find  fxx(2,3) . (b) Find  fyy(2,3) . (c) Find  fxy(2,3) .

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Q: Given g(z) = In(10z+ z), the derivative g' (z) is. O 10z +z 70z +1 O 10z +z O 70z +1 O 7z° O 70z° +1…

A: Option E is Correct Answer.

Q: f is a function of only x, g is a function of only y, and f and g satisfy ln(f(x)) + ln(g(y)) = ln(1…

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Q: ew Choose the definition for the function. S-x+2 x > 1 lx+1 a. y = { {-x+ 2 x 1 b. y = {x+1 1-x +2…

A: Since function is not continuous at x=1 because graph of function is break at x=1 so, right and left…

Q: Suppose z = ƒ(x, y), where x and y are functions of t. How many dependent, intermediate, and…

A: It is observed that z=fx,y is function of x and y.

Q: Find the critical number(s) of the .4 * (function f(x)=In(2x)/(3x )2 نقطة( In(2x) f (x) 3x e/2 and 0…

A: Calculus

Q: 13) Evaluate div F where [[x, 4₁27 = <-xy, x², 2³ e xy² ) 32 *** - ) 2xyz e ) 242 243 - ۶۶ ) *+3x 3…

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Q: 1. Consider the function z = f(x, y). If fa(a, b) and fy(a, b) both exist, and they are equal, then…

A: 1. Given: z=fx,y and suppose that fxa,b and fya,b both exists and they are equal and it is…

Q: (1) Find ôf/ôx, and f/@yôx of the following functions (a) f(x,y) = x²y + x²y2 (b) f(x,y) = 10x + In…

A: To find ∂f∂x and ∂2f∂y∂x of the following functions. fx,y=x2y+x2y2 fx,y=10x+lnxy fx,y=x3+5xy−y2

Q: 2. Show that the function u - p(sy) + Vj (y/2) provides the equation 0.

A:

Q: Find and sketch the domain of the function. f(x, y, z) = ln(64 − 4x2 − 16y2 − z2)

A: Given function is      f(x,y,z) = ln(64-4x2-16y2-z2) We have to find the domain of this function.

Q: b) Let X₁, X₂, Xn-f(x) = {0x-(0*) x>1 e. w. find Suff. Comp. St.

A: Given that