I| Name the mathe moticion aho is credidet sith Hhe cefine mand of the co When acopt of fundion. Where

Q: Let D, ECC be starshaped w.r.t the same 2, E DnE. Show that DUE, DOE are starshaped.

A:

Q: ® Dis cuss The Continuity of y = Sin e 3) Discus ET

A:

Q: What additional information would you need to prove ATRO AOMT by the HL theorem? A TR TM B OTM TOR C…

A: If the hypotenuse and the leg of the triangle are congruent to the hypotenuse and leg of another…

Q: Find the area inside the oval limaçon r=7+3 sin 0. The area inside the oval limaçon is (Tuno uor…

A: we have to find the area.

Q: 6. Evaluate the integral fF ds, for F = (-y, x, z) and C is the circle a? + y? = 2,2 = 1.

A:

Q: 2 cos Ø sinotos"0 csc0 Reuorite the expresson as a single triganometrie function whose anqument is…

A: Given: The expression 2cosϕsinϕ+cos2ϕcscϕ, To simplify: The given expression in term of one…

Q: Find T, N and K for the space given question: r(t) = Sinht i+ Cosh tj + t²k

A: The given equation is, r(t)=sinhti^+coshtj^+t2k^

Q: In AXYZ with a right angle at Y, the cosine ratio can be used to find the length of XZ as O a) XY…

A:

Q: Q: If cosece - sin e = t and sece - cos e = m, prove that l'm? (12 + m2 +3) =1 1. %3D

A: Given that cosecθ−sinθ=lsecθ−cosθ=m

Q: carth quate intesly This Scole of earthquate intesity ramges fram This scole I to t ll

A: Modified Mercalli intensity scale

Q: dr Let A be the area of a circle with radiusr. If dt dA = 5, find when r = 5. dt %3D

A: Here we use the application of derivative.

Q: most consiolera Hon when subiects? Whet is he Impor tont designing on humen

A: In a county, people are very important other than living beings. The human population plays an…

Q: O! Find tue indefinite integrel by q meleing tue febstelion d=4 Sin o. 2 *7 16-x"

A: To determine: by substituting x = 4sinθ

Q: The common area between the cardioid r = 1+ cose and the circle r = 3cose is: Select one: (1+ cose)?…

A: For cardioid  θ=0,   r=1+1=2 θ=π2,    r=1+0=1

Q: ordinate the qunchon geoo- b. Fnd the se-coordiaste at Hhe implection pornt af the inplection paint…

A: Given: gx=exx+10 We know that for any given functiony=fx at inflection pointx=a, f'a=0, f"a=0 and…

Q: Evaluate the integral o dz where C is the circle |2| = 2. 22 + 9

A:

Q: H.w using par sevel? identity Let fex) e show +ha t(xdx (x41)2 %3D - Fsls):

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Q: D Find Te area of the reegion- Ingide The circle r= S and to the cight of De line c z seco

A: According to question, Equation of circle r = 5, Equation of line, r = 52 secθ

Q: - Find the area of the negion that inside (i=3sin@) eind also In side (rz = + sin@) ?

A: To find the area of the region inside r1=3sinθ and inside r2=1+sinθ

Q: AB DC AB = DC C is the midpoint of BE AC | DE Given: Prove: A D E

A: Given, AB∥DCAB≅DC C is the midpoint of BE

Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2x), Determine the value of C if x = 18 and y=…

A: We know that antiderivative of a function is same as indefinite Integral of that function.

Q: dr Let A be the area of a circle with radius r. If dt 4, find dA when r = 3. dt

A: We are going to solve

Q: Transit Substitu Definitior Substli Definitic Segmen Given: PQ TQ, UQ= QS Prove: PS TU T.

A: Given data;   The first condition given is PQ≅TQ. The second condition given is UQ≅QS. (3) The total…

Q: du = kv?u + f(r,t) Ət nside the circle (r < a) with u = 0 at r = a and initially u = 0. [Hint: The…

A: Given equation is, We know that the solution of the non homogeneous equation of the form, Is,…

Q: the work particie that ISwer decimal places.) F(x,y) = (ex - 4y)i + (e' + 5x)j C: r = 9 cos(0)

A:

Q: If R is the region in the first quadrant between the circles r = 1 and r = 2, and if f is continuous…

A: Given R is the region in the first quadrant between the circles of radii r=1 and r=2, centered at…

Q: T.h.J unitorm (x) is ィマ Conrinu ous [', 00)

A: It is given that ;            fx = 1x2   for  x ∈ [1, ∞) To prove :  f(x)  is uniformly continuous…

Q: 10. Ray OQ bisects ZNOP. Calculate the measure of NQ if PQ = 24. %3D P NQ = 10 NQ = 48 %3D NQ = 24…

A: In △POQ and △NOQ ∠P = ∠N = 90° ( given ) OQ = OQ ( Common) ∠NOQ = ∠POQ (OQ Is angle bisector) △ POQ…

Q: dy given the following Find dar 24sin(ry) dy da

A: The given equation whose derivative is to find is:

Q: A C O do O bo co ao CivicsCurriculumMa.pdf Open file ... P Type here to search B 近

A: We have to find the exterior angle

Q: Use the substitution u = csc x- cot x to evaluate csc x dx (see ample 6).

A: We will evaluate the given integral by using substitution method as shown below

Q: 10. Find mAD (11r – 3) B (8x + 15) A %3D Measure of Arc AD =

A: Given: ∠ABD=11x-3° and ∠ACD=8x+15° The objective is to find the measure of Arc AD

Q: 4. Given AB is tangent to OP, AB = 12 and CB = 8. %3D a) Find the area of APAB. b) Find mLAPB (round…

A:

Q: dr Let A be the area of a circle with radius r. If dA when r = 5. dt 5, find dt

A: the area of the circle is given by take the derivative with respect to t ...............(1)

Q: Solid Con Sist of ight hi aud a cylinder of hrinlt ha the dim ensieua

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Find the arc length of y = 26² + O 7/12 pi O 17/12 O 7/2 pi O Not in the choices O 17/2 2+2 for for…

A: To find the arc length of y=x36+12x for 1≤x≤2.

Q: Let D be the unit disc x^2+y^2≤25. Evaluate  ∬Dex^2+y^2dA=

A:

Q: True or false, AB is tangent to circle C. O True O False

A:

Q: A D B Given: Radius OB :1 chord AC at D. Prove: AB 2 CB

A: We can prove the theorem as below.

Q: dr Find of r = (csc 0 + cot 0)-1? de

A:

Q: What additional information would you need to prove ATRO AOMT by the HL theorem? TM OR TR TM C LOTM…

A:

Q: Delerumine the coordnates OF,t for YX Finl te Midesint oh a seMent w

A: Please refer to the image below

Q: W = C - sec?(3x) – V8 )dx. Evaluate W - 6х+9 *

A:

Q: Make canonical equations:

A: We need to make canonical equations of the following. For (a), Ellipse: b = 3, F(4√2, 0). So, c =…

Q: O Identify all the ponts Crit) on Z=F(xcy)=cos (x+y) ot which tangent vecfors to Z=F(xcy) are…

A: Tangent vectors are parallel to x axis and y axis, so the tangent plane is parallel to xy-plane. So…

Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this.

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: Find dyldy and xz4 Sint, y² Scost, OCtca24 For which vakes Of t is Hhe cure concave puars? anguer n…

A: x=4sint  , y=5cost

Q: Shows rectangie ABCD DC=hy and B Ĉ chz is a constdny Fiqure above AD = kx, with h and k If AB- with…

A: Given:    AD→ = kx→DC→ = hy→BC→ = hx→AB→ =2x→+k+12y→------------------------ Basic information :…