E (ax, + by, + c) =

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: If possible, write -1- 12x8r² as a linear combination of x -x², 2x + x² and 2x 1 + x². Otherwise,…

A: Let U={u1,u2,⋯,um} be m vectors of a vector space V. Let v∈V(F) then v can be expressed as linear…

Q: x +y = - 12 2x - 3y = 6

A: Solved below

Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

A:

Q: x+2y =bx + cy

A:

Q: snip

A:

Q: Find the following

A: Given integral is: ∫-9t-2.5-2t-1

Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

A:

Q: Find / (+62+3) de + C

A:

Q: 23

A: We will solve the problem

Q: -7x+2y=D4 3x-5y=-2

A:

Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

Q: Find å · b for å = (-2, ) and b = (-5, 12).

A:

Q: x + 3y = 1 -3x-3y=-15

A:

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: Evaluate xe dp- X6 (x +1)*

A:

Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

A:

Q: If y(3x-5)= 2 x y and y0, then x =

A:

Q: -5 4x If possible, write -5 - 4x - 2x² as a linear combination of 2 - x + x²,-2-x² and x - 5 2x².…

A:

Q: If 3x+3y=4 and 3x+8y=9 then what is x ?

A: Explanation of the answer is as follows

Q: Evaluate (x2x+Idx

A:

Q: xdx = ? (ах + b)(сх + d)

A:

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

A:

Q: Statements 1. -6(2x +1) = -11x – 7x 2. -12x – 6 = -18x 3. -6 = -6x 4. 1 =X

A:

Q: E sin i sin 98 cos 50 de

A:

Q: ax +-b dx ax² +bx +d

A:

Q: 3 If A = 3 what is A-1?

A: Given that: A=3-430

Q: 3n y = त

A:

Q: Given a function h(x) = x-2 Sgn (x) where sgn(x) called - signum function is defined as sgn(x) =…

A: Given a function  where  called signum function is defined as To evaluate the following:

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: yS3x-1

A: Plot the graph to obtain the following figure

Q: f A = (1 2)           (-4 5)   and B (-3   1)            (0  -2) calculate ATB

A:

Q: Find the equation of (x) = 5* + 2 after it has been shifted up 4 units. O Ax) = 5*+4+ 2 O f(x) = 5*…

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Q: (Vx +10xdx

A:

Q: The i-component of +t is

A:

Q: If x > 4, then x 2 > 16.

A:

Q: If possible, write -6- 19x - IIx" as a linear combination of -1 - -619x11x² = (-1-x-x²)+ (1 + 2x +…

A: Write -6-19x-11x2 in the linear combination of -1-x-x2, 1+2x+x2 and -1-3x-2x2.

Q: P = C(1 + m) for m (business, value depreciation of equipment)

A:

Q: Simplify the expressim (x5y5)4 2.

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.