(d) S (1, y) = sin (2), (x, y) # (0,0) 0, (x, y) = (0,0) (e) , r + y # 0 7+y x² + y = 0 0, f (x, y) =

Q: The point P(-1,7) lies on the graph of h(x) = 2x + 9. Determine the y-coordinate of the image point…

A:

Q: Determine the nature of the stationary points of the function in the following case: f(x,y) = (x2 +…

A:

Q: Identify and sketch the domain of f(x, y) = y² + 4x + 2 In(1-x² - y²)

A:

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

A:

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Consider the point (x,y) lying on the graph of the line 8x + 7y = 3. Let L be the distance from the…

A: We use the distance formula

Q: Dat

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Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

A:

Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

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Q: Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function is…

A: Given that - Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the…

A: Shape of tangent line to the curve is given by first derivative of curve at given periodDerivative…

Q: Explain how the Intermediate Value Theorem (IVT) can be used

A: Intermediate value theorem is stated as follows. Consider an interval I=a,b of real numbers ℝ and a…

Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

A:

Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

A:

Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

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.