2x2 The value of lim will be ... (x.y) → (0,0) X² + y?

Q: Find x so the distance between (x, 3) and (4, 7) is 2/5.

A: Answer

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

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Q: Determine a mapping of the form (x, y) (_) from y = f(x) for each of the following. y = 3f(2x)…

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Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: For each point on the graph of y=f(x), is a corresponding point on the graph of y=√ √ f(x) exists,…

A: Given the point (3, -4) on the graph of y = f(x), it means that f(3) = -4 Now, we want to find a…

Q: When dividing the polynomial f(x) by x-p, where p is a real number, the quotient Q(x), then is f'(p)…

A: In the first question it is given that, When f(x) is divided by (x-p), the quotient is Q(x). Now…

Q: 5. Let f(x) = 4x²/3 – x4/3. a) Find the domain of f. Domain: b) Find the x-intercept(s) and…

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Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

Q: Find the inflection point(s) for f(x) = x* - x° +6. O A. (0,6) and (2, – 4) O B. (0,6) and (2,2) OC.…

A: Given,  fx = 14x4-x3+6  We have to find the inflection point of fx

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.