Problem 4 (Extending continuous functions). Suppose KC Rm is compact and f: KR" is continuous. Show that there exists a continuous mapping f: Rm Rn such that f = f on K.

Q: Where can you apply Independent and Dependent Variable in real life situations?

A: We can apply Independent and Dependent Variable in real life everywhere.

Q: Final Reduced Objective Value Cort Coefficient 1 -5 -1 3

A: from the given output, There are three decision variables . They are: x1,x2 and x3

Q: Using the power series method about x = 0, the recurrence relation of the differential equation: y"…

A:

Q: What are some real life examples of relationships between two variables that are not linear…

A: What are some real life examples of relationships between two variables that are not linear…

Q: olx 3(2-3x)"

A: The objective is to solve the integral ∫132-3x4dx

Q: What does translation mean

A: Translation means moving every point of the figure by the same distance and in the same direction.

Q: Identify the relationship between attributes

A: To identify the relationship between attributes, we can perform a correlation analysis using SPSS.…

Q: (ii>

A: (ii) Let Fs=tan−12s Differentiate Fs=tan−12s with respect to s…

Q: X- 2 ligy 反-2

A: Given: Let L=limx→4x-2x-2 To Find: To evaluate the given limit.

Q: Explain in detail how regression analysis can be used to forecast the demand for a firm’s product or…

A: The literal meaning of word regression means stepping back or going back toward the average.

Q: curl(curl F)= grad(div F) - 2F

A:

Q: Sechu=-Sechu-tonhu Jor dx

A:

Q: Solve the problem. Round your answer, if appropriate. Water is being drained from a container which…

A: We have to find correct option using given data.Formula required:

Q: How is the y value determined, like y1,y2,y3, and y4? (the second column of the table)

A: As per the question we have to explain how the y-values i.e. y1 , y2 , y3 and y4 are determined.

Q: 5t - 3 t+1 dt

A:

Q: How do you find the domain of coordinate

A: The domain is the set of all first elements of ordered pairs (x-coordinates).   The range is the set…

Q: what are my variable?

A: The question which is to be verified using hypothesis testing is  " do resting heart rates differ…

Q: find x+y+z

A:

Q: I can't complete

A: Since you have posted multiple sub-parts of question , we will solve first three  sub-parts for you.…

Q: Build linear models from verbal descriptions

A: We have to build the linear model from the verbal description.

Q: The central difference has the same value as the average of the forward and backward difference. O…

A: Forward difference f'x=fx+h-fxh Backward Difference f'x=fx-fx-hh Central Difference f'x=fx+h-fx-h2h…

Q: not using excel can this problem be solved?

A: The mean is $31,000, standard deviation is $3000.

Q: What is the value of X? _  and  Y? _

A: Given, 6x-3y=9 -8x+5y=-11

Q: 4x-2 dx 27x-8

A:

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

A:

Q: Describe how to differentiate implicitly.  Give an example along with your explanation.

A: Implicit differentiation is a special case where we use well known chain rules to find the…

Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: Comparative static analysis involves

A: Comparative static analysis:  It is the comparison of two different economic outcomes. That means…

Q: Differentiate y = (9x - 1)³. y = 8/9x - 9+

A:

Q: Explain the term Linearity?

A: When there are two quantitative variables, as one variable increases/decreases, the other variable…

Q: What is the independent variable and the dependent variable?

A: Dependent variable is the response variable that we observe from the subjects under study, and…

Q: can you work it out step by step

A:

Q: Integrate x2

A: