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A: The domain of logarithmic function log x is x: x>0 The domain of inverse trigonometric function…

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A:

Q: Which of the following pairs of function is linear dependent ? O None of the choices O 22, 2x O…

A:

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Q: Suppose that the functions u and w are defined as follows. u (e) = x² +3 w(x) = /x+2 %3D Find the…

A: Given : ux = x2 + 3wx = x + 2

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Q: If f-(a, b) = 0 and fy(a, b) = 0, then Vf(a, b) = 0.

A: Given,           fxa,b=0   and   fya,b=0

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Q: Use a formula to express w as a function of t if w = . 5+6 and s = + 8.

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Q: Suppose that the functions u and w are defined as follows. u (2) =+6 w (x) =/x+1 Find the following.…

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Q: If f(z) = (a") + and f(z +y) + f(z-y) Kf(z)f(y), then the 21 value of K.

A: Given that: *f(x)=ax+a-x2 *f(x+y)+f(x-y)=K×f(x)×f(y) Thus, the function f(x+y) is,…

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A: u(w(3))=-33

Q: Let f: [a, b] → R5 be defined by f(t) = (4t, 3 t², 2t*, e', 9). List F'(t)

A: Given that:

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Q: If U-f() where f is an arbitrary function and P-U,.Q-U, then which of the following relations is a…

A: Given that : U=fxy Calculating P: P=Ux=f'xy1y ---->(1) Calculating Q: Q=Uy=f'xy.x.-1y2…

Q: For each function, state whether it is linear. Function 2 Function 1 {(-4, -1), (-2, 2), (0, 5), (2.…

A: Given : Function 1 :     (-4,-1)(-2,2)(0,5)(2,8) Function 2 :     (-1,1)(1,4)(3,9)(5,16) Function 3…

Q: If F&) and g(x) ave combinuous on fanb] andit =5oprove thab b. b. Icefanb] Such that ffe)=gle).

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Q: 1. Which of the following is a linear function? b. y= x² + 3 а. у- 2х - 3 2 JE FxE Sy 2 vhat is…

A: Linear functions are those whose graph is a straight line. A linear function has the following form.…

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Q: Find f., and f, and evaluate each at the given point. ху f(x, y) = х — у (9, -9) f,(x, y) = f,(x, y)…

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Q: Suppose that the functions u and w are defined as follows. u(x)=2x-1 w(x)=x2+1 Find the following:…

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Q: If f and g are both differentiable, then V(fg) = fVg+gVf. OTrue O False

A: It is asked to prove that, ∇ (fg) = f ∇g + g ∇f given that both f and g are differentiable.

Q: Given that D/d = √f + p/f – p, express p in terms of f, d and D

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Q: Let µ* (E) =0 , then µ * (E U F) =µ* (F) ▼ F C R.

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Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

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Q: Find f, and fy and evaluate each at the given point. (x, y) = e*y?, (In 9, 2) a(x, Y) = ,(X, V) =…

A: The function is given as , fx,y=exy2 find fx and fy.

Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = X- y (2, -2) f,(x, y) = f,(x, y) =…

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Q: Suppose that the functions u and w are defined as follow u (x) =-x w (x) = 2x²+1 Find the following.…

A: The given functions are  ux=-xwx=2x2+1 Substituting the expressions of ux and vx in u∘w-4, we get…

Q: Suppose that the functions u and w are defined as follows. u (x) =x²+5 w (x) = /x+7 |D Find the…

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Q: Suppose that the functions u and w are defined as follows. u (x) = 2x+5 w (x) =x+4 Find the…

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Q: 11) Let X = {a, b, c} and Y = {u, v}. Which of the following arrow diagrams define functions from X…

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Q: Suppose that the functions u and w are defined as follows. u (x) =x² +5 w (x) = /x+7 %3D Find the…

A: Given, ux=x2+5wx=x+7

Q: Find and f, and evaluate each at the given point. xy x, y) (4, -4) %3D X -y f(X, y) %3D 1,(x, y) =…

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Q: Find f, and f, and evaluate each at the given point. fyr ху f(x, у) : (8, -8) х — у

A: Given f(x,y)=xyx-y, 8, -8

Q: Find f, and f, and evaluate each at the given point. y' ху f(x, y) = (5, –5) 1. X - y' fa(X, y)…

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Q: Suppose that the functions u and w are defined as follows. u (x) =x²+6 w (x) = /x+9 %3D Find the…

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Q: Let U = {x/ 0 < x < 30 }, A = ( x /10 < x < 20 } and B = { x/ 10 < x < 25}. %3D Determine: 1. AUB'…

A: Solved below

Q: Find f, and f and evaluate each at the given point. ху F(x, y) (9, -9) x - y

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Q: Use a formula to express w as a function of t if  w =    4s + 9 and s = et − 1.  w =

A: We have given that,  w = 4s + 9 and  s = et − 1 Then,  We will find w in terms of t?

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Q: Suppose that the functions u and w are defined as follows. u (x) = x² + 6 w (x) = /x+9 %3D Find the…

A:

Q: If f(z) = then s'(x) – (n + 1)a, 17". (72+1)a, 12". 72 0 Select one: OTrue O False

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Q: Find f, and f, and evaluate each at the given point. y' f(x, у) ху (7, –7) %3D X - y fx(X, y) %3D…

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Q: Suppose that the functions u and w are defined as follows. u(x) =x+1 w(x =-x+2 Find the following.…

A: Gievn,              u(x) = x + 1              w(x) = - x2 + 2

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Q: Find f, and f, and evaluate each at the given point. f(x, y) = xy x - y (3, -3) f,(x, y) = f,(x, y)…

A: The solution is given below in the next step: