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

Q: sin 7x lim x→0 sin 3x

A: The given limit is limx→0sin7xsin3x

Q: Find all solutions to tan(x)=sec(x) that lie in the domain [0, 2)

A: tan(x)=sec(x) Given interval is [0, 2).

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

A:

Q: Give the degree of 0 = tan-(-V3) if it exists. measure %3D

A: topic - inverse trigonometric ratios

Q: Find the limit of the trigonometric function.

A: We have to find the limit of the trigonometric function: limx→7 sec π x6 This is determinate form of…

Q: evaluate using Theorem 2 as necessary.

A:

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

A:

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: Which theorem shall be used to find the lim sin 60 ? 0-0 20

A: We need to find the value of limθ→0sin6θ2θ

Q: Find the limits in Exercise

A: To find the limit of

Q: 1 o. = 0. Show that lim x² sin -| *

A: Use the property that -1≤siny≤1. Take y=1x, then -1≤sin1x≤1

Q: The limit of n tan(-) as n-∞is equal to 1

A:

Q: Find the limit of the trigonometric function. (If a lim cos(68) tan(68)

A: We need to evaluate: limθ→0cos(6θ)tan(6θ)θThis is of the indeterminate form 00So, we shall apply the…

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: Which theorem shall be used to find the lim sin 60 0-0 20 Theorem 1:lim Sin X x-0 x 1 = 1

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: 2 cos(5x) – 5 x² – 2 sin(3x) – x2 – 3x - lim - - (Write your answer in the given box)

A:

Q: Find the limit of the trigonometric function. lim cos X-9

A: Limit of a function can be found at x→a just by evaluating value of the function at x=a, provided it…

Q: Given that –xª + 1< sin(x) < 3 – 2 cos(x), what is lim sin(x) :?

A:

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

A:

Q: Find the limit of the trigonometric function.

A: limx→3tanπx4

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. Is trigonometric substitution needed to evaluate /9 - x² dx?

A:

Q: Find the limit of the trigonometric function .

A: On directly substituting the limit the indeterminate form 00 will be obtained, so first we need to…

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: Find the limits in Exercis

A: We can find the limit of an expression by applying the limit point to the variable in the expression…

Q: Prove this limit via trigonometric limits

A: The give expression is,

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

A:

Q: Calculate the missing value. Use the Pythagorean Theorem!

A:

Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

A: Given that if A⊂0,2π and A is measurable, the objective is to prove that limn→∞ ∫A cos nx dx =…

Q: d cos x = – sin x - dx

A:

Q: The expression sec (z) - tan (z) is equivalent to

A:

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

A:

Q: Find the limit of the trigonometric function.

A: Let the given limit be y - y = limx→0 cosx tanxxy = limx→0 cosx×sinxcosxxy = limx→0 sinxxy = 1

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: What is the value of lim u--&gt;0 ((sin u)/u)? Does it matter whether u is measured in degrees or…

A:

Q: Evaluate lim,→0 ela-cos 7x 8 sin x 7

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: lim 1-3 (r-3) tan(9-x²) sin²(2x - 6)

A:

Q: Evaluate using Theorem 2 as necessary.

A: Given limx→0sinxsecxx

Q: 23. Find the length of the perpendicular from the origin to the line joining two points whose…

A:

Q: Find the exact value of sec(arcten 2/3).

A: Let a = arc tan 23. Then       tan α=23 Using; 1+tan2 α=sec2 α⇒sec α=±1+tan2 α

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.