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Q: C, Given txry,z)= * e°+ y°z z°sinx ofzz oト2 @ fxx @ txyz Find

A: Find the partial derivatives

Q: 5) Construct AD'E'F', the reflection of ADEF across line l. F.

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Q: 15. Given ARST = AXYZ, RS = 15, ST = 20, RT = 25, and ZX = 3x-5, find x. (Draw and label the figures…

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Q: Jø ú.tus G br3:natorcuatou deined. as G: 7 → K, Ga, B; = (atu a cs8 B, aitu asta B, c88 a wit.ti =…

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Q: the nules for expuner Sing Xxt = (xy)b = こ x+

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Q: Let a A = d e h i and -3a -3b -3c B = g h i d e f Given that det(A)=1/15, what is det( B¬l)? Answer:

A: Just I have used the property of determinant of a matrix. (1) if two rows of determinant are…

Q: o From where to where is the red bird in the air?

A: Bird is in the air, means the bird has been flying. From above given diagram, the bird has been…

Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

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Q: Find fa), a+ n). and the difference cuotient t-tal where ha a+) -fa)

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Q: Given: ASUN = ATAN, You can conclude that: (A) LS = LA (B) SN = TN (C) ZT = LU (D) SU = TN (E) UN =…

A: △SUN≅△TAN

Q: 3) u = y f( ise XU, + yu, t zu. = ?

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Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: /2 c) Evaluate [(5cos? u +5sin 2u)du

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A: First we separate the variables then integrate both sides

Q: Use the diagram to answer the question. Which statement is NOT true? 1 4 2 > Play O 44 is vertical…

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Q: (B) (AB) (BC) (CA) NY, 22.13. Show that if (A) (B) (C) = 3x and = x, 2x, %3D N N then the value of…

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Q: d? -(A+B) at t = 1. di?

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Q: If æ?y + y³ = x – 1, then at (0,-1) is dz Select one: a. 0 O b.를 C.

A: Given,x2y+y3=x-1differentiating both the sides w.r.t.…

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: Again differentiate with sespect to x we e?+ cs(xe? +e?) +C2 e? cje + C2 ze+ 2C2e? dz2 from O : cze?…

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Q: Consider the diagram below showing, where OC=18, CP = 19 and AB = 34. A 04 18 с 19 P 34

A: Explanation and solutions is given below....

Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: ), then the value of r is

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Q: Consider ADEF, where m/D = 42 - 5, m/E = 3r + 15, and mZF = z+10. Whatis the aue o 2?

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Q: Suppose that a?y +xz? = 3 and let u = -r³. Find the value of du when (x, y, z) = (1, –1,2). dz A) –2…

A: Given that: x2y + xz2= 3 and u=-x3 and (x,y,z)=(1,-1,2). We find du/dz ot differential with respect…

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Q: Evalu‎ate ∫C (x + 2y) ds, w‎here C is the cu‎rve defi‎ned by y = √(4 − x2), for x ∈ [0, 1]

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Q: If A %3D (x:х < 5,х E N} and В %3D(у: у? + у — 2 %3D 0,у € R}

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Q: If, 0=330° then fromula tem o= defenmihe the u lue of tm % .

A: we know that tan360-θ=-tanθ so, tan330∘=tan360∘-30∘=-tan30∘…

Q: Given y(t) = e-³tu(t) u(t + 3), where * denotes convolution operation. The value of y(t) as t → ∞o…

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Q: If p : X E M(n x n, R) + tr(X), what can we say about det (exp(X))?

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Q: du ди Find and ds u = x• e'¨: u =x•e" ;x = In(s·t) , y = } , = = s² + ? . 2 ,==s² + t

A: According to the problem, we have

Q: 7. If B is between A and C, and AC = 5y + 9, AB = 18, and BC = 2y. Find the value of y. Drawa…

A: The given information can be diagrammatically represented as shown below:

Q: 8. If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG. %3D D F

A: All the side of rhombus are equal .anf  digonal bisect each other at 90°.

Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

A: Explanation of the solution is given below...

Q: RE YOUR CALCULUATOR IS ur answer to the nearest d

A: Angle B can be obtained as; tan B = AC/BC

Q: Iff = xi + yj + zk, F| =r,and i =, then show that grad -)

A: r = (x2 + y2 + z2) 1/2 . Then, we have to calculate the grad( 1/r ).

Q: 2. If A and B are mutually exclusive, P(A) = 0.3 , and P(B) =0.47, find %3D (а) Р(А); (b) Р(В'); (с)…

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Q: The soluhion of P.D.E 3 + 2 du o, u(x,0) = 4e* is @ 4e © 4e O 4e

A: 3∂u∂x+2∂u∂y=0, ux, 0=4e-x Characteristic curves are given by  dx3=dy2=du0 Solving the first two,…

Q: Find he value of ds/du at u = 2 if s t2 + 5t and t = (u? + 2u)

A: ds/du=9/2

Q: WY is a midsegment of AUVX. If UV = p + 3 and WY = p + 1, what is the value of p? W V Y U p =

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Q: rer, Evalua den (3x1 fnd C: lve Segeant Co0) to (4,2)

A: Line Segment:    Each portion of the line segment can be labelled for length, so you can add them up…

Q: If A-B=0, implies that A*=B" %3D 0 صواب ylgn İhi O

A: Given A⇀-B→ = 0

Q: T4) Suppose A-(? ?) and B-G) 2 if CCA) = CCB) then a is equal %3D bo?az 4/a=\/a=6la=2?

A: Since solve the first question for you. If you want any specific question to be solved then please…

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.