33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

Q: 8) Find the value of x that makes line m || line n. 120 3x E AS

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Solve diffesential earuation by the separating the variables dy3= %3D

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Q: 12. If KR= x +7, KM = 3x -5, and JL = 4x – 10, what is JR? %3D %3D

A: Given: JKLM is a parallelogram.

Q: 4. In ARST, RU US and RV VT, If UV, the midsegment, is equal to 2x- 2 and ST = 8x - 28, find the…

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Q: 2.1. Nhal 14. w far illu golf ball Arom the cuup at the canter? 3. Find the value of x. AB e AD au…

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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: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: D = {(r, y) : 1 <Ise, 0<yS In(r)}

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Q: 2 2 Calculate the length of the astroid of x +y = 5. s =

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Q: Find the value of 20 so that Pet=11 dz (z – 20) (z – 16i) -2ni |z=11

A: Cauchy Integral formula: Let z=a be a simple pole of a given curve f(z) over a simple closed curve γ…

Q: ハジ nd the exact lkength of the wnve र 4=1n(seccx)),

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Q: BQ: QS = 1:2 %3D 2. AR: RC = 1: 2 %3D AS : SQ = 7 %3D

A: Introduction: From the Menelaus theorem, if a triangle has the form, then CBBA×ADED×EFCF=-1.

Q: find the value of so that ky'=3 at y =1- For --=1 x y O 12 3 O o

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Q: 7) In AXYZ, mLY 80, XY = 14, and XZ 17. To the nearest tenth, what is mLZ? %3D

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Q: Q2: Find the aren bounehd by y=x and y =X+2

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Q: 9. If y = , find at x = 1. x3-: \2x5-1, А. — 28 В. —13 С. -52 D. 13

A: Consider the following equation: y=x3-22x5-14 Differentiate y with respect to x:…

Q: If PQ = 9 and QR = 28, find PR. %3D %3D

A: We use  formula to find PR. PR=PQ+QR

Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: 2. Estimate the value of V22. + • V22 is between and but closer to Decimal estimate: 22-

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: For what value(s) of tt does the equality ⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩ hold…

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Q: 2lo Find the discontinnity point of &Cz):

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Q: 17. Find x if mRTU = 11x-7, MZSTR = 2x + 16, and mZSTU = 152°. w %3D S T. U

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Q: 2. If LM = 10 and PS = 11, what is KN? ls 3. If PS = 2x + 4 and KN = 5x+ 2, and LM =-3x + 8, what is…

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Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: If A = *yzi – 2x² j + xz? k and B = 221 + yj – x° k, find za (AXB) at (1,0,–2). Ans. -41 - 8j

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Q: define: Y ~ N„(µ, 0²I) and µ= (µ1, H2;. .. H)'.

A: Given: Y~Nnμ,σ2Iwhere μ=μ1,μ2,...,μn'

Q: sec'o, Q2: Ealate vtan 9-1

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Q: So" (8 + 4 co entage error in nu n the Trapezoida

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Q: Use the composite trapezoidal rule to compute Jo e dx correct to 3 significant gures, taking 5…

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Q: Find in side r=2 aren oul sde r=l+ Ges 6

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Q: •1-i Evaluate 4z dz . J3i

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Q: 3ey , find Given z = dz dz au

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Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

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Q: 7x 4) Find Derivadive 9. E'6) = ?

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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 the of the fol Howing term valke Value 3- 2. 4- 5.

A: In the question it is asked to calculate the determinant of matrix. 354723465.

Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

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Q: Given f(*, y) = 8a'y - 4cy. Compute:

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

A: ds/du=9/2

Q: Q4/ Find Pe and at (3,3,3) if E = (xyz) ax + (xyz) ay + (xyz) az m²

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Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

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Q: 35 Find the extrem poinbs of Pcxry)=xy Subject to X+y=20.

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Q: D Given: l, m antersect at P M <1 = 2x+5 m22 = X+5 %3D Pove: x= 50°

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Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

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Q: dy 16x 9. If r? + y² = 8 then show that dr?

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Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.