tan 6x sin 3x B) Find the domain and the range of x2+y-D1. Q:1) A) Find the following limits : lim,0

Q: sin 7x lim x→0 sin 3x

A: The given limit is limx→0sin7xsin3x

Q: Given that sec(x)=−9/2, what is sec(−x)?

A:

Q: evaluate using Theorem 2 as necessary.

A:

Q: Find the limit of the trigonometric function. cos(50) tan(50). lim

A:

Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: 2. What is the smallest positive degree measure equivalent to tan(3.27)?

A: We have to the smallest positive degree measure equivalent to tan-¹(3.27)  Since the given value is…

Q: Prove that sec x dx = In sec x+ tan x +C.

A: Here the question is solving by using u-subsitution method.

Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: Find the limit. Enter the exact answer. lim sec 3x cos 7x = x

A: I am attaching image so that you understand each and every step.

Q: If y=tanx, Prove that Y™ 2 (Y²+1)(3+1)

A: We will find the required.

Q: Q2. Prove that sec2(tan-x) = 1+ x?

A:

Q: Find the length of arc AB in terms of x.

A: Arc length is given by s=r.θwhere r = radius of the circle and  θ = central angle in radian

Q: sketch the interval (a, b) on the x-axis with the point c inside. Then find a value of delta>0…

A: Given: a=49, b=47, c=12.

Q: 4. List the two special trigonometric limits.

A:

Q: Find the limit. cos(70) - 1 sin(30) lim

A:

Q: . Evaluate the following limits if it exists. If not, explain. sin(90) lim 0-0 %3D 40 4

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The perimeter of a circumscribed polygon was used to find an approximation for pi by the ancient…

A:

Q: Evaluate using Theorem as necessary.

A: The given is the symbol of limits, hence the definition of limits helps to find the required. A…

Q: Evaluate the following limits. tan x lim (sin x

A:

Q: 4. Find the coordinate of point X such that ratio of MX to XJ is 3:1.

A:

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

A:

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) cos(76)…

A:

Q: Find the limits in Exercis

A: On directly substituting the limit, indeterminate form 00 is obtained. So, to find the limit, we…

Q: find the limit or explain why it does not exist

A: limx→0cos2x-1sinx

Q: 2. Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: I have solved the question 2 for you as we can solve one question in one session. f you want the…

Q: From point P outside a cicle secant PCA and tangent PB are drawn. If PC is 4 and PB is 8, find AC.

A:

Q: 27. a. Show that the area A, of an n-sided regular polygon in of radius r is a circle sin nr2 2т A,…

A:

Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

A:

Q: If tan-0 = 1- a Prove that sec® + tam Ocosece = (2- a) 3. %3D %3D

A:

Q: If z =7 tan 0, express sin (20) as a function of z. sin (20) =

A:

Q: If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX…

A:

Q: So sin() -=? lim, o

A: Given that:limx→0+∫0xsin(t2)dtx3

Q: Give an example to justify that sin (A + B) is not equal to sin A + sin B. Limit A and B to special…

A: Special angles are those angles at which the values of the trigonometric ratios are known. For…

Q: An appropriate trigonometric substitution 1 -dx is V4 – x² for x = 2 tan(8) for 0 E (-5,5) а. b. x =…

A: The given integral is: ∫14-x2dx

Q: Find the limit of the trigonometric function. cos(80) tan(80) lim

A:

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: d cos x = – sin x - dx

A:

Q: What is the lim (3)¯ I 7 sec (7x) cos(3x)?

A:

Q: GIVEN: In Figure 6.46, AB and AC are tangents to 00 from point A; B and C are points of tangency.…

A: Given, AB and AC are tangents to circle with center O from point A (external point). B and C are on…

Q: The point can be generalized (1)In the limits of trigor become in shape sin ax lim = 1 %3| ах

A: on solving this we get

Q: Calculate the limits: 1 – sin 20 - (a) lim 0→/41+ cos 40

A:

Q: sin az 15. lim, 0 sin bæ

A:

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

A:

Q: Find a formula that expresses the fact that P(x, y) is a dis- tance 5 from the origin. Describe the…

A: Given that the p(x,y) is a distance of 5cm from the origin. We need to find the formula to describe…

Q: Evaluate using Theorem 2 as necessary.

A: Given limx→0sinxsecxx

Q: a. Show that y = tan u increases on every open interval in its domain. b. If the conclusion in part…

A: (a)  Given,

Q: 8 Find the distance from (1, 0) to (0, 1) along (a} a straight line (b) a quarter-circle (c) a…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.