What is P {Y ≤ <}}? f(x, y) = { (4x + 2y) 3 0, ) 0≤x≤ 1,0 ≤ y ≤ 1 elsewhere

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

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Q: What is the relationship between A = {2xIx ∈ N, x ≤ 5} and B = {xIx ∈ W, 4 <

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Q: x • e e- for x <x < ∞ f(x) elsewhere

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Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

A:

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: Q4Suppose f:R⟶Z where f(x)=⌈2x-1⌉. If a) A={x|1≤x≤4}, find f(A). b) B={3,4,5,6,7}, find f(B). c)…

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Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

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Q: fc xdx, over y = x 3 for0 &lt; x &lt; 3

A: Given expression can be written as: ∫Cxdx , over y=x3 for 0&lt;x&lt;3. We have to evaluate the given…

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

A:

Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

Q: 5. Which function has both domain and range of all real numbers? a. y = x2-5 b. y = (x + 2)3 c. y =…

A: To find  the function having domain =R and range =R.

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

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Q: B. If f(x) = 3*, evaluate 1. f(2) 3. f (-) 2. f(-2) 4. f(0.4) 5. f(T)

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Q: - (10 points) Show |a – b| < |a| + [b| Va,b eR.

A: We have to show that  a-b≤a+b      ∀a, b∈ℝ

Q: - Find V x+y `

A: Given that, fx,y=x+yx-y We have to find ∇f. We know that, ∇f=∇x+yx-y=∂f∂x,∂f∂y

Q: Greaphically Convolve the fellowing twe_Signale x(t)# 2 time time 2

A:

Q: Let f(x, y) = Evaluate f(5,5) 175 - 3x² - 4y2

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Q: Let f(x)=16x+1,  −4≤x≤1 The domain of f−1f-1 is the interval [A,B] where A=?? where b=???

A: fx=16x+1,  -4≤x≤1 When x=-4, f-4=16-4+1=-63 when x=1, f1=161+1=17 Therefore the range of fx is -63,…

Q: Write down the first order and second order conditions for maximum and minimum of a function y =…

A: Given,  Function y = f(x1, x2, x3,  .  .  .  , xn). To find the first order and second order…

Q: 3.6 Error analysis of the upwind scheme We notice that the upwind scheme can be written S (1+v)U} –…

A: Error analysis of Upward scheme  To prove: Ujn+1= 1+vUjn-vUj+1n ,  if a&lt;01-vUjn+vUj-1n ,  if…

Q: 5. Let f, and f, be the function from R to R such that f,(x) = x²+2x+3 and f,(x) = x-x. What are the…

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Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: c) Evaluate ſ x*(In x)²dx

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Q: 10. Let Is f convex, concave, or neither? ƒ(x1, x2) = x² − I1X₂ + x² + 3x₁ − 2x₂ +1 (71; 72) € R². -

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Q: If x > 0, V72r3 V2x F=_--

A: The given expression is 72x32x.

Q: Find the measure of Zj. 4x -2 5x - 3 10x-20

A: As sum of two interior angles of a triangle is equal to exterior angle of third angle. So 5x-3+4x…