Estimate f(-1.01, 2.01) given that f(-1,2) = -2, fa(-1,2) = -3 and fu(-1,2) = -5. f(-1.01, 2.01)

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: Write the domain for the linear parent function in interval notation. O (-0, 0) U (0, ∞) O (-0, 0) O…

A: Linear parent function is of the form y=x. Domain of any function y=f(x) is the value of x for which…

Q: Find the value. Let f(x, y) = Y + xy. Find f(-5, -5).

A: The given function is fx,y=xy+xy To find : f(-5,-5)

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as…

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Q: Determine all the 1-linear functions δ: M1×1(F)→F.

A: Given mapping is,

Q: Find the difference quotient.  f(x)=ex

A: The given function is fx=ex.

Q: your to nod of a. f(x) = x – 4x-*², I[1,2]

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Q: Complete the table. f(x) X = f(x) 19-x², x < 3 x-3, x2 3 1 2 5 WET NO

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Q: Integrate the function. -B3/2 dt

A: We can integrate by parts to solve the problem

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

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Q: Differentiate the function. F(Y) : + 9y³) F'(y) =

A: Topic = Derivative

Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: When f(x) = 3, x=

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Q: Prove the relationship

A: 1. Reason : Given data

Q: Let f(x) = 3". As x → 0, what does f(x) → ?

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Q: write a linear function f with f (4) = -3 and f (0) = -2

A: Given: Write a linear function f with f(4)=-3 and f(0)=-2. Any linear function is of the form…

Q: Differentiate the function with respect to the independent variable. f(x) = (6 - 5x²) ³ f'(x) =O

A: Given, fx=46-5x23

Q: Write the linear function f for which f(1) = 3 and f(4) = 0.

A: Write the linear function f for which f(1) = 3 and f(4) = 0.

Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: 2. If f(x) =-x +2x-5, find f(-2).

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Q: Differentiate the function. y = 96-z2

A: To differentiate the function

Q: Determine f, (x); f(x) = Vx² + 4

A: This question about differentiation

Q: What does the x represent in this situation?

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Q: Express the rule "Subtract 11, then square" as the function f(x) = I.

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Q: ren f (x) = x2 + 5x + 6, g (x) = x- 3, evaluate (fo g) (2)?

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Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

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Q: Suppose f is a linear function such that f(3) = 5 and f(9) = -4. Find the equation for f. (Use x as…

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Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

Q: Explain the Functions of Three Variables?

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Q: Differentiate the function. y = 3 + X y' =

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Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) →…

A: The given question can be solved as shown in step2.

Q: Evaluate the function f(x)=2x+4 When x={2,3,7}

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Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: Choose the interval where the function is positive. -4 -6 -2 2 2 4 -6 -00 < < 00 0<< 00 C -2 <<2 -00…

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Q: Differentiate the function.snip4

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Q: (d) Differentiate the implicit function below y³ + y = 2x² + 4

A: Given y3 + y= 2x2 +4

Q: Sketch: f(x) = [x + 2]] − 1, on [−2,2]

A: We have to draw the graph

Q: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: Complete the table. f(x) =    36 − x2,   x < 6 x − 6,   x ≥ 6   x 4 5 6 7 8 f(x)

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Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: Find the value of f (-2). y y = f(x) 10 8. -10 -8 -6 -4 -2 4. 8 10 -2 -4 -6 -8 -10 6 4.

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Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

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Q: Write a linear function f with the given values. f(x) - 决 0. f (x) = D

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