Consider the function: y=x- .2 6x +5.

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: The range of the function f(x, y) = 6 – V4 – x² – y? -y²

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Q: What are the x-intercept(s) of the function? y = x2 – 2x +1

A: The given function is y=x2-2x+1

Q: y a-2x- 15

A: Given function y=x2-2x-15

Q: Find and simplify the function values. f(x, y) = 8x + y2 Exercise (a) f(x + Дх, у) — f(x, у) Дх

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Q: Find the domain and range of this relation { (x, y) RxR: V+3}?

A: Given query is to find the domain and range ofbthe relation.

Q: the function: y = 42 -1 x+2 ** ***

A: The given function is y=-1x+2

Q: Differentiate the function. y = Vx? + 3x

A: Given function is y=x2+3x. We know that, (a)ddxxn=nxn-1 (b)ddxfgx=f'gx·g'x Differentiating the given…

Q: Find y for the function y = ( secx x2 5

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Q: Use the graph of f to find the x-intercept(s), Where applicable, use interval notation.

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Q: A basketball thrown up into the air is modeled by the relation: h = 2r2 - 3r - 2 , where h is the…

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Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: What is the domain of the function? Vx+2

A: Solution: The objective is to find the domain of the given function

Q: la)Explain why the function fIz)= 52%_6+zcosz-z°e? is entire?

A: (a) given fz=5z4-6+zcosz-z3ez to show- the function is entire

Q: Give the domain of the function y = x/7, (Enter your answer using interval notation.)

A: The domain of a function is the possible set of input values where the function is defined.

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) 9(x) =…

A: x= 0 is the inflection point Therefore (x, y) =(0, 0)

Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: Find the y-intercept of the following function. f(x) = 10x² + 23x – 42 Give your answer as an…

A: Given f(x) = 10x2+23x-42We find y-intercept

Q: Calculate y" for the function y = 5x' – 7x² +16

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Q: Given the function ,     y = 4x2 + 9 i- Find the difference quotient as a function of x and delta…

A: The difference quotient as a function of x and ∆x is: Difference quotient=f(x+∆x)-f(x)∆x The given…

Q: Use C to represent the arbitrary constant. y =

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Q: Q1:a) Find the function? y = fx) 4.

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Q: At which ordered pair will the function f(x) = Vx – 4 +7 begin on the coordinate plane?

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Q: Q2) find the domain and range to the function y=x+1, y=2r² +3

A: 1) Given that, y=x-1 Domain: x can have any positive value or zero for real values of y. Hence…

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

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Q: Find the function r

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Q: Differentiate the function. B(y) = cy−2

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Q: Does x + y = 10 define y as a function of x?

A: To check whether x2 + y = 10 define y as a function of x.

Q: Find the value of f(14) from the function.

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Q: Which ordered pair fits the function h(x)=x^+2?

A: Given, h(x)=x2+2

Q: Differentiate the function.

A: Given R(a)=3a+12

Q: Where is the function y=−3|x+5|−7 decreasing

A: Graph the given equation as shown below:

Q: S(r) = -r² + 2r + 15 What is the second (right most on the horizontal axis) zero of this function, r…

A: Given function is fx=-x2+2x+15. Finding the zeroes of the given function.…

Q: Differentiate the function y = e0.3t

A: This question is related to differentiation, We will solve it using given information.

Q: Find the range of function when the domain is {-4, -1, 0, 3). y = – x2 – x |

A: Given domain of the function is  {-4,-1,0,3}

Q: Differentiate the function.snip4

A:

Q: Use the plot command to plot the function f(x) = (0.5x* + 1.1x – 0.9x²)e-0.7* for -3<x<10.

A: For a function, y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Differentiate the function y = -5eº. %3D O a. y'= e0 O b. y' 0 O c. y'= -5e0

A: given function y=-5e0

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

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Q: Differentiate the function.

A: Given: y=aex+bcex+d we know that  ddxuv=vdudx-udvdxv2                                            ..1

Q: Q1:a) Find the function? y = h(x) 2. 1.

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Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: Find d3y of the function y=x2lnx.

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Q: D( (x? + 2x + 3 )87 )

A: Given : Dx2 + 2x + 387

Q: Differentiate the function.

A: Given:y=1+xe-2x The formula of differentiation is  ddxxn=nxn-1 Use chain rule and product rule to…

Q: Find the range of the function: V(x, y) = 9x2 + y2

A: Given function is  V(x,y)=9x2+y2

Q: - k (r) = e" + pɛ

A: Solution ) k ( r ) = er + re Differentiation with respect to r d k(r)/dr = d er/dr + d re/dr d…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.