Use the drawing below as needed to answer the question. Consider that { || m, with transversal t, and OQ bised 1/2 M/4 3. m 5 0/7 N If mz1 = 114°, find each of the following in degrees. (a) mz2 (b) mz4 (c) mz5 (d) MZMOQ LO CO

Q: If w = cos(xyz), compute for 82 w дудz

A:

Q: Find the length of the path over the given interval. (sin 3t, cos 3t), 0 ≤ t ≤ π

A: xt, yt=sin3t, cos3t,   0≤t≤π Here, xt=sin3t,  yt=cos3t Now differentiating with respect to t, we get…

Q: Find 7'(t), given ř(t) = ( – 4cos( – 5t), 3 sin( – 5t), e*). - - F (t) =

A: Solve the following

Q: Show that sin a – sin b < Ja – b), for all a and b. (Hint: MVT) use -

A: Mean Value Theorem :  The mean value theorem states that a function f which is continuous on the…

Q: Find all angles between 0 and 2r satisfying the condition V3 sin x = Separate your answers with…

A: Given: sinx=32

Q: Find the length of the curve r= cos'(8/3). OsesT/4

A:

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: Find all angles between 0 and 2n satisfying the condition V2 COS T = Separate your answers with…

A:

Q: I, (x, y) is any point on the __________ side of theta when in standard posi- tion, and r is the…

A: Complete the blanks in the statement.

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

A:

Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

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: The approximation of f, xin(x + 3) dx using two points Gaussian quadrature formula is:

A:

Q: the pont find on tne araph where the tangent Tine is norizontal Of fu) = 30yd-20x-3

A:

Q: Let C be the shortest path that connects a to ni and / S (sinhz + 1)dz. Then %3D

A: Given :I=∫c (sin hz+1)dz, where c is path fromπ to  πi We need some hyperbolic formulas, cos…

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: Find all angles between 0 and 2T satisfying the condition COS X = 2 Separate your answers with…

A:

Q: 4. Consider the following diagram. 8т — 2n | 13 2m + n 4m + 1 Find the values of m and n that prove…

A:

Q: Find the length of the path over the given interval. (2 cost − cos 2t, 2 sin t − sin 2t), 0 ≤ t ≤…

A: x(t)=2 cost − cos 2t y(t)= 2 sin t − sin 2t interval- 0 ≤ t ≤ π/2

Q: Find the length of are リ-Jx-2+ Sa'z) + Sin

A:

Q: Find all angles between 0 and 2T satisfying the condition -1 Cs x = Separate your answers with…

A:

Q: as Let ĝ +sinh (z?) - ji = 27 where w=f (x,y,2)- %3D Find 2 nd JW and au

A: In the given question we have to find the partial derivatives of with respect to x ,y and z. here we…

Q: Graph the limaçon. Cardioids r = -1 + sin u

A: Given- r=-1+sinu To Draw- The graph of the above equation of the limaçon.

Q: Find the length of the curve r= 1+ sin(20) Oses- /20

A:

Q: In A XYZ, ZZ is a right angle and mZX = 53°. Which statement is true O cos 53* YZ %3D XY XZ O tan…

A: From the given figure representative diagram is shown below:   With respect to ∠53°.…

Q: Find T N, o$ B for the carve at the indiccted poinat r0=12,c号ど) (1,!,}) at 3. 3.

A:

Q: If we ignore air vesistance, then the range RO) of 'a ves pect to the X axis base ball hit at an…

A:

Q: By the samc way, prove that g 7 sinw.k MUIS Z N-27 cesW. +1

A:

Q: The figures shown are three similar ARST AUVW ~ AXY Z 2. Find the Values of in Vand tan Y and drag…

A: Given,

Q: Suppose θ(t) measures the minimum angle between a clock’s minute and hour hands in radians. Find,…

A: Given that:  θ (t) measures the minimum angle between a clock’s minute and hour hands in radians. An…

Q: Find the length of the curve [x = eª cos(t) y = et sin(t) for 04 (Hint: You can simplify the…

A:

Q: 3) if y= CoSX then shift it by a) left TC b) Down1, lett 2

A:

Q: Show that r = cos20 is symmetric about the y-axis.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the conjugate harmonic of v(r,9) = r² cos 20-rcose+2. Show that vis harmonic.

A: Given vr,θ=r2cos2θ-rcosθ+2

Q: 5 Locate the bijurcotion values jor the one-param eter jamily dy- ytly+a and draw 1. values jor the…

A:

Q: B. Solve the following problems using differen linear approximations. Show complete soluti 2.…

A: Sol

Q: This diagram shows a tangent TA with chord AB parallel to chord PQ.«

A: (a) To prove : ∆PAT is similar to ∆BAQWe can see that ABQP is a cyclic…

Q: Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is…

A:

Q: Which one of the following points lies on the curver = sin 0 – 5. %3D TT o (-5, n) o (5, 0) (5, 2)

A: Put all points on curve, point which satisfy the equation , lie on curve.

Q: Calculate the length of the path over the given interval. (sin 3t, cos 3t), 0 <t<+

A:

Q: (1) If O is not in Quadraut I and Sec e = V2 , find degres.

A:

Q: Find the Laplaće Trans forh 3) f()=1 cosh(at)

A: Given: ft=t coshat   As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft   And…

Q: Use the gjiven flqure to answer fust 3-I 3.17 OD=100m and oE- bom, theE Res on the the arcle. 4 I…

A:

Q: 3. In kite WXYZ, WX =YX =25 WZ=YZ=39, and WY = 30. Sketch this kite, and then determine the length…

A: topic - Pythagoras theorem

Q: If sint = - - and t is in the 3rd quadrant, then tan t %3D V45 45 O V45 V45 2 V53 O O O

A:

Q: Find the are length of one turn of the helix, t=0 to t = 2r , given by 7(t) = (bcost, b sin t, V1 –…

A:

Q: Find the missing part of each probl 1. If OJ = 3, JK = 4, find OK. %3D JK is a tangent

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.