@IF a=(2, -13) und L14,2,1) Find axb and bxq.

Q: So lve メi4,3. &メ ーツ +豆 =4 X + 3y -Z =l| 4x + リーZ =14

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Q: 2 2 dydx Әхду

A: Given: h(x,y)=4xey+3y+7

Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: If z + 60 = 3z – 20, show that z = 40. - If = y, show that y = 2, -2. %D y If 4x – y = 8 and 2(y– 2)…

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Q: If A- A = I, then (4-1) = %3D

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Q: Qvestivr C-

A: question on co-ordinate geometry

Q: 25) of y' = = %3D 25 is 19

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Q: There are 5 types to solve linear diff. eq. of first order * True False

A: Given that , Linear differential equation-A linear differential equation is defined by the linear…

Q: 2 4 Ayz x = By + Cz' ||

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Q: , h(t) = -4t² + 10t + 18, w %3D

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Q: Find fio for feをノュー! アえ-2

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Q: if I<3, f(z) = 6r-9 if z23.

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Q: of (x, y) = a? + 4y

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Q: to S=2. %3D

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Q: an + 8an- + 16an-2 = 0 + 16Q, where, a,= -2 and a,= 1 - What is the Yalve of a6 ?

A: the given relation is an+8an-1+16an-2=0 rewrite the relation as an=-8an-1-16an-2 substitute n=2…

Q: Qil If y , Show that y=2x- 2y3

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Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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Q: Find m2Q. 2 2-/2 P mZQ = Submit

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Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Find mZR. R S 105° 3. 3.

A: Here the given figure is an isosceles trapezoid with parallel sides ST and RQ. For an isosceles…

Q: Find UT Vo 9 3x + 4 2x - 2 U T

A: This question can be solved using the equation(Length of VU)+(Length of UT)=(Length of VT)

Q: Find A-1 where AB=C and C2 C3 b, b, bz C1 B= b, b, b, & C= C1 C2 C3) а, а, аз

A: Given matrix is B=a1a2a3b1b2b3c1c2c3 and C=c1c2c3b1b2b3a1a2a3. We have to find the A-1 where AB=C.…

Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

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Q: Jk, when = & Case y: 2 Sing

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Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: . Show for Re(2) > 1 -dr r(2) ((2). e - 1

A: The given problem is to show the following integral is the product of zeta function and gamma…

Q: Rewrite rnan(r – 2)"--2nan(x – 2)"- +n(n – 1)an(x – 2)"-2 n=1 n=1 n=2 in the form b, (r - 2)".

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Q: = (bj) be the ijs 3. If the Lt of BT is

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Q: · ds, where y²+² and S is the

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Q: can. Vn? - I (a) (b) (2--)(2*+)

A: Here first we show the sequence is increasing. Then show that it has a upper limit. This implies the…

Q: Solve for u. 7u %D 6. 2 12

A: Given,          u6-7u2=u12

Q: nte poirts 2. 5) and (-3 -4) has an eguaton of 9x + 5y =0 9x +5y-7-에

A: Solution

Q: Show that: х-1 - B(x-1,y+1)= B(x, y)

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Q: 13. -(р — q) -рл-а 14. (р — q) л(р — г) %3D р — (q л г) 15. (р — г) л (q - г) %3 (pvq) — r

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Q: 2 + v - , 2+z+ 11. 0. di

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Q: Find a if y = 16+ secax 6x %3D

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Q: Write Jexp(2z +i)| and Jexp(iz²)| in terms of x and y. Then show that |exp(2z +i) + exp(iz²)| < e²*…

A: Here we use various property  of modules.

Q: if (y+ 4)² = x + 2, then + 2, then dy

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Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: a) Р(х — 51n - 9,р — 0.50) b) Р(х %3D 7|n 3 17,р %3D 0.60) с) Р(x S 3|п 3 20, р %3D 0.05)

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: Use substitution method to prove step-by-step that (PAQ)^(P = –(Q^R))^(S = R) = ¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: min 40x, + 30X; ニ 281 t X2 z 20 2xx + 3x2 2 30 X,, X ZO

A: We have to minimize the objective function Z=40x1+30x2 with the given constraints and x1, x2≥0 using…

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: 3,,7 _29 Simplify: V64x³y' z2º.

A: We have to simplify the following expression: 64x3y7z296

Q: O Express : 2 as a linear combination of

A: By using definition of linear combination

Q: зв. | Evaluate ф. - dz where C:z-2| = 2. (z³ – 5z² +8z –4) 3

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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.