For the function y =-4cos(20 + 60°)+ 7

Q: find the value of y that corresponds to each value of x.

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Q: s) find y"= f"(x), given x+y =16 in simplest form.

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Q: Find the domain and range of: 1) y= HE

A: As per the instruction, we will answer only one question. For (1), We need to find the domain of y =…

Q: Given the function y=3√x. Find d2y.

A: Given

Q: For the equation given below, evaluate y at the point (2, 1). Зау — 2х — 2 — 0. y at (2, 1) =

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Q: Find the other five functions of the acute angle A

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Q: Given h (x) =x +1, find the equation of the secant line passing through (-3, h(-3)) and (1, h (1)).…

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Q: Find the poles. 8x - 1 y = x2 - 2x X = (smaller value) X = (larger value)

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Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: For values x=[ 1:1:25] , plot y1=2 x +1 and y2= x+

A: This is a question of plotting points in an interval, it is a question from real-valued function.

Q: For the equation given below, evaluate y/ at the point (-2, 1). 3xy – 3x + 0 = 0. y at (–2, 1) =

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Q: (1 – x)y" + 2xy' = 0 , y1

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Q: Graph the following equation by completing the table. r = 3 + 3sin0 0° 30° 90° 150° 180° 210° 270°…

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Q: For the figure shown, a || b || c. Find x and y. a zy + 14 b У - 8 X,

A: the given figure is: a∥b∥c. we have to find the values of x and y.

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: Find reference point of t when t = -5 pi/4

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Q: Plot the following functions y = (x – 1)3 + 2

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Q: Given f (x) =x+x, find the equation of the secant line passing through (-5,f(-5)) and (1,f(1)).…

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Q: Find the equation and sketch the graph of the following line. Horizontal with height 3 units above…

A: The equation of a horizontal line is y=c, where c is the y-coordinate of the y-intercept. Hence, the…

Q: For the equation given below, evaluate y at the point (-2, 1). 6xy-2x +8 = 0. y at (-2, 1) =

A: we have to find

Q: b) Sketch them on the grid and determine a rule (or equation) that expresses the relationship…

A: Given:  x y -1 2 0 1 1 0 2 -1 3 -2 To determine: The equation that express the…

Q: For the equation given below, evaluate y′ at the point (1,−2) y-5x2+7=0 y′ at (1,−2)=

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Q: Use the triangle to the right to find the value of x. x =

A: We know that sum of all the angle in the triangle is 180 It is right angle triangle so its make 90…

Q: Let I = FOx) dx, where fis the function whose graph is shown. y 15 10 2

A: Given, We have to find L2 ,R2 and M2 using graph, underestimate or overestimate of I, T2 using…

Q: If x² + xy + y3 = 1, find the value of y"' at the point where x = 1. y"' =

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Q: Given h (x)=x+3, find the equation of the secant line passing through (-4, h (-4)) and (2, h (2)).…

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Q: If x2 + xy + y3 = 1, find the value of y'' at the point where x = 1. y"':

A: The given question can be solved as shown in step2,

Q: Find the angle of intersection.of the curves X+yー4 dd xt=4メ 2. %D

A: The angle of intersection between 2 overlapping circles is the angle between the tangents at any of…

Q: If x2+xy+y3 =1, find the value of y" at the point where x=1.

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Q: Draw a quick sketch of the equation. y = (1/x)

A: Consider the provided equation, y=1x Draw a quick sketch of the equation. To draw the graph by using…

Q: Find the equation of the line that passes through the origin and makes a 60° angle with the x-axis.

A: Given, The line is making 60∘angle with the x-axis. Point through which line is passing = (0,0)

Q: Devive the following equation %3D dx²

A: Let us consider,

Q: Graph the function. 6) y = -3 cos 2x A) B) 3. /2n C) D) |-21 2n -27 27 食 个M

A: y=-3cos(2x)   1) if  x=π then y= -3 cos(2π)=-3(1)=-3 2) if x=π2 then y=-3cos-2π2=-3(-1)=3 3) if x=0…

Q: Complete the following question and submit your answer here. Thanks! Identify a pattern between the…

A: We have to answer given Questions.

Q: Given h (x)=x² +5, find the equation of the secant line passing through (-4, h (-4)) and (2, h (2)).…

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Q: 4e*y – 2x = y + 25.6. y' at (1, 2)

A: Given equation is  4exy-2x=y+25.6             ...(1)

Q: Calculate y in degrees. [Image 21] (2x -5)° Ce D (5x+ 45) (3x -25) A.

A: Formula: Total angle of straight line is 180° Opposite angles of bisecting lines are equal.

Q: Find the domain and range of y=tan1/2(2x+π/4)-2

A: Given function  y=tan122x+π4-2 To find the range and domain of the given function.

Q: For the equation given below, evaluate y' at the point (2, 1). 3e"y – 2x = y + 17.2. - y' at (2, 1)…

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Q: For the function f(x,y) = e 12xy, find f, and f,.

A: The given function is  f(x, y) = e12xy To find fx, fy

Q: How far from the vertex is the focus" .....

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Q: If  x2 + xy + y3 = 1,  find the value of  y'''  at the point where  x = 1.

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Q: Use the indicated x-values on the graph of y = f(x) to find the following. y C

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Q: For the equation given below, evaluate y at the point (1,0). 2xy – 2x + 2 = 0.

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Q: Find the slope of the line.  Rx + Sy=T

A: To find the slope of the line.

Q: Given h (x) =x'+6, find the equation of the secant line passing through (-4, h (-4)) and (2, h (2)).…

A: given that h(x)=x3+6 then h(-4)=(-4)3+6=-58 h(2)=23+6=14 then our co-ordinates becomes (-4,-58) and…

Q: dy Find dr for the function a y+ 5xy= 17 at the point (2,3) %3D Answer:

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Q: Find the value a that would make the following equation exact: 1 Заху-за ку 1 y² +x² 2

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Q: Use the figure to find the terminal point determined by the real number t, with coordinates rounded…

A: It is given that t=4.1. In the unit circle the x coordinate is defined as x=cos(t) and the y…

Q: 10. Determine y" for the following equation: x² +2y² – x = 5

A:

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.