Write the definition of derirative (in terns of limif and pive the pue the doriveatives of the following fenctions by usin this definition. geometric interpretation. Then com a) cosx at xER b) x3 at x = 1

Q: In the figure, QN is the perpendicular bisector of LM. N M Which of the following can be used to…

A: Given: QN is the perpendicular bisector of LM.

Q: The following proof of the Pythagorean Theorem is attributed to the Thābit ibn Qurra (836–901) and…

A: Given:  1. ∠A is a right angle. 2. EF = AC OR  AE = CF3. DK =AC  OR KH = DE = AE            (∴ HE =…

Q: 13 15 A 14 AABC is a 13-14-15 triangle in which three congruent circles are each tangent to two…

A:

Q: Consider d, B and t real conrtants diflerent from cero, a perible repuesentatien for *yrt =0 is? C)…

A: Given equation of plane is  βx + αy +f = 0 ,where α , β, f are real constant different from zero.

Q: 20. Using OC at the right, arrange the statements and reasons into sequential order to prove that MT…

A: Solution is given below:

Q: In the figure, QN¯¯ is the perpendicular bisector of LM¯. Which of the following can be used to…

A: Option (d) is correct.

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: Given: PQ⏜≅RQ⏜PS⏜ ≅RS⏜

Q: Determine the coterminal angle of 0 that is in the interval [0, 27) -29T 0 = 4

A:

Q: Prove the following Cscxcotx/secxtanx=cot^3x

A: Cscxcotx/secxtanx=cot3x

Q: Given: JK = LK ; JM = LM Prove: AKJM = AKLM

A:

Q: Prove the following: Given: AC1 BD,D is the midpoint of AC Prove: AABD = ACBD A

A: Provides figure is  AC¯ ⊥ BD¯ D is the midpoint of AC¯.   To prove: ∆ABD≅∆CBD

Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the…

A: Note: According to our expert guidelines only first individual question is to be answered.kindly…

Q: let CRIW) be usual top. let A= Co1] Finel usual Fop. A Arand Bod (A)

A: Definition: Let X be a topological space and A⊆X. A is closed if the set Ac is open The interior of…

Q: Prove that tr(aA + bB) = atr(A) + b tr(B) for any A, B belongs to Mn× n(F).

A: We need to prove that tr(a A + b B) = a tr(A) + b tr(B) for any A, B belongs to Mn×n(F).

Q: let l X, BIR) be Boral mea sure 3pace Suppose that ŷ An- | otL sta be a family of elements of BIR)…

A:

Q: Can there exist a AROS in which the trisectors of 20 intersect RS at D and E, with RD = 1, DE = 2.…

A: Given: ∠O intersect RS  at D and E in a △ROSwith the data  RD=1;   DE=2;…

Q: 14. Complete the proof by filling in the numbered balnks. Given: BD 1 AC, Dis the midpoint of AC.…

A: Given 13) The base of the first right angle triangle is 11 yards and the height is 7 yards. The area…

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: In △PQS and △RQS P̅Q̅ ≈ R̅Q̅  (given) P̅S̅ ≈ R̅S̅  (given) And Q̅S̅ ≈ Q̅S̅ (common side or by the…

Q: O fappor fGa)7 x Find, the value uny flrrt-order approsindt off atlon.

A: Consider the given function. fx=x2 The objective of the problem is to find the value of f(1.01)…

Q: See picture below.

A: Consider a function f(x) such that:

Q: let A and B are dis comnncted in SPeace X Show that DAUB is dis connected. @ ANB is dis connected.

A:

Q: Given: B is the midpoint of AC  C is the mid point of BD Prove: AD = 3AB

A: Topic- coordinate geometry

Q: 5. In elementary geometry texts in which the SSA theorems are not included, a differ- ent proof of…

A: 5. HL congruency states that for the given two right triangles: It hypotenuse and one of the leg of…

Q: Given: OO, XW * WY Prove: arcs XZZY (Use paragraph proof) X Z

A:

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: in the △QPS &△QSR we know that PQ=RQ and PS=RS

Q: Let a = arcos/a and tan/B)= whe B is n Quadrant N. Usng this mformatien, euduate the 25 Stataments…

A: Given, a = arccos(-7/25) then cosa = -7/25 tanB = -3/4             B is in fourth quadrant

Q: Complete the following proofs. Some may require CPCTC. Inse 6. Given: Q is the midpoint of PT and RS…

A:

Q: ) Let z be a c complese number then cos ( 58+2) is bounded in C2

A: Since, sinz and cosz are unbounded on C. These are unbounded along horizontal axis .

Q: Consider the fune tion fa)- In[ax- b an tb] where c= ? -6 bi 2ab ind f' ()

A:

Q: Given: P is the midpoint of TQ and RS. Prove: ATPR = AQPS

A: Given data: The given triangles are TPR and triangle QPS. The given condition, P, is the midpoint of…

Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

A:

Q: Given: B is the midpoint of AC C is the midpoint of BD C Prove: AD = 3AB %3D Reasons Statements

A: SOLUTION  givenB is the midpoint of AC →statement 1C is the midpoint of BD →statement 2Now from…

Q: Suppose S, T ∈ ?(V) are such that ST = TS. Prove that range S is invariant under T.

A:

Q: show by of R then IUI is not ideal example if In and Iz are icdeals an

A:

Q: 7 74 12. eint) Prove that (-",) lies on the unit circle. 6.

A: (x, y) =-79, 749When a point lies on the unit circle;it satisfies the equation of unit…

Q: 8. Prove the converse part o median of a trapezoid is p parallel to the base; const to the base, and…

A:

Q: Prove that 8. V57 lies on the unit circle. 8.

A: The unit circle is the circle of radius 1 centered at the origin (0, 0). The equation of a unit…

Q: A Tigure is showh. G N Select the statements that, when taken alone, could be used to prove that…

A: Here option 6 is correct statement. When taken it alone it can prove that ?HIN and ?TIG are similar.

Q: Os Find the Taylor seaies af the gien funkon Point as conter and deteamina the with the vadius af…

A:

Q: In the figure below, PQ = RQ and PS RS. Based only on the given information, which theorem could be…

A:

Q: Write down an explicit bijection between the following sets a. The interval (-2,1] and the unit…

A: Given:-             Write down an explicit bijection between the following setsa. The interval…

Q: paragraph proof please

A:

Q: Prove the following: 7. Given: PS bisects ZRST, 2SP = 3SQ, 2ST = 3SR T. Prove: ASTP~ASRQ

A: topic - similar triangles

Q: Show that the two triangles are congruent using a flowchart. Remember to justify your conclusion by…

A: We have to prove congruency of triangle

Q: Let f: la.01-x be afunction and tet eco, then for any Acla. b) sup cef=c inf f صواب İbi

A: The given statement is true. The proof is given below.

Q: . Complete the following proof. Given: OA with tangents XM and XN Prove: XM = XN M. Statements…

A: Circle with center A and tangents XM and XN.  To complete the proof XM ≅ XN

Q: Consider the following coordinates. W(1,8), X (7,8), Y(4, 5), and Z(1,2) Select all methods you…

A: Given : W(1,8), X(7,8), Y(4,5) and Z(1,2) To find : All methods to prove triangle WYZ  is congruent…

Q: 2. h of these theorems will be used to prove Z1 = Z3? Complements of the same-angle are congruent.…

A: Answer is option C.

Q: Given: G is midpoint of IE 21 = 2 Prove: ATIG = AREG 2 1. 3,

A: Given that, G is the midpoint of IE¯ So IG¯=GE¯ ∠I=∠E∠1=∠2

Q: Q3- Give an example of two denes not equal X subsets of (R,Te) and (z,ror ). ( Explain your answer…

A: