1. Let f: R²R where f(x, y) = x² + y² and c = (2, 2). (a) Find and simplify Df(c). (b) Find and simplify f(c)+L((x, y) — c). (c) What is the equation of the tangent plane to the graph of z = x² + y2 through the point (2,2, f(c))?

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: Discuss the applications of Statics in real life.

A: Some of the fields, where statistics is applied is given below: Weather Forecasts Statistics is used…

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: S(x*-3x3 +- -2)dx = x(8x*-30x3+5x-80) + C 1 %3D 40

A: Consider the right hand side of the given equation. The integration formula is  ∫xn=xn+1n+1+c

Q: how does the independent variable differ from the dependent variable?

A: Let independent variable be denoted by IV Let dependent variable be denoted by DV

Q: Sechu=-Sechu-tonhu Jor dx

A:

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: 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: horizontal asymtotes of 8x2+2x+1 2x2+3x−2

A: The objective of this question is to find the horizontal asymptotes of the given rational function.…

Q: 5/6+2/3x=3/4

A:

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: (c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the…

A: (c) The regression analysis is conducted using EXCEL. The software procedure is given below: Enter…

Q: y = exlnx

A:

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: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: Comparative static analysis involves

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

Q: 1/3y+4=1/5y

A:

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

A:

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:

Q: The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and…

A: Solution

Q: How to interpret r in relation to the context?

A: In question, We'll discuss about interpretation of r i.e. correlation coefficient.