cot(-8,1)

Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: If two dice are rolled, then find the probability that the sum is equal to 8. a. 2/36 b. 4/ 36 C. 7/...

A:

Q: Graph each function

A: Now, to draw the graph of the function Rx=xx-1x+2, the asymptotes have to be first calculated. Asymp...

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: In the question we have to find the no of units which will provide maximum profit.

Q: At what points are the functions continuous? x tan x y = x² + 1

A: Given function is y=xtanxx2+1.

Q: Could  you please help only with the 'd' question

A: The graph of the function f is

Q: In the given question , two models R1 and R2 are given for revenue (in millions of dollars) for a co...

A: Given: Two models R1 and R2 are given for revenue (in millions of dollars) for a corporation. R1 =7....

Q: Graph the function f (x)= -3x+7.

A: An equation of a line is completely determined if two points on the line are given. This is because ...

Q: Locate the absolute extrema of the function on the closed interval f(x)=x^2/x^2+3 [-1,1]

A: To find the absolute extrema  

Q: Calculate the derivative of the sine function as a function of degrees rather than radians.

A: Given- sine function. To Find- The derivative of the sine function as a function of degree rather th...

Q: INTEGRALS OF TRIGONOMETRIC FUNCTIONS,INTO INVERSE TRIGONOMETRIC FORM, INTEGRATION BYPARTS,INTEGRATIO...

A: To evaluate: ∫dx15+4x−4x2 Let, I=∫dx15+4x−4x2 ⇒I=∫dx16-1-4x+4x2 ⇒I=∫dx42-2x-12

Q: Let ulx) be the solution of the IuP xy'-2y:x, yQ)=0 Evaluate y(32) %3D

A: In the question we have to find y(32).

Q: (4V 2x Va) dæl 3

A: The given integral is ∫ 4x3-2xxdx.

Q: 41. In the Illinois state lottery game "Little Lotto," a player wins the grand prize by choosing the...

A: consider a group of 5 numbers from 1 through 39. objective is to find the probability that aplayer w...

Q: The equation of a circle can be changed from general formto standard from by doing which of the foll...

A: The general form of a circle is: x2+y2+2gx+2fy+c=0 The standard form of a circle is: (x-h)2+(y-k)2=r...

Q: Use the graph of f ' shown in the figure to answer the following?   Approximate any open intervals o...

A:

Q: Determine whether the series L is convergent or divergent by n(n+3) expressing s, as a telescoping s...

A:

Q: 52. Developing a Linear Model from Data The following data represent the various combinations of sod...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Determine whether the geometric series is convergent or divergent. If it is a convergent, find its s...

A:

Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month...

A: Given: C=0.2x2+10,000

Q: In the given question as follows, determine whether the statement is true or false. If it is false, ...

A: No, the statement is false. The antiderivative of a function, f(x) is not unique.

Q: Determine for what numbers, if any, the given function is discontinuous.f(x) = c

A: We know, A constant function is continuous throughout the domain of the function. Here,f(x)=c, is a ...

Q: use the formal definition of limit to prove that the function has a continuous extension to the give...

A: Recall the formal definition of the limit to prove the result as follows: limx→3fx=limx→3x2-2x-32x-6...

Q: 10. True or False The slope of a nonvertical line is the average rate of change of the linear functi...

A: true

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: Given: fx=-x1-x2

Q: dy + 2xy = 1. dx

A:

Q: Find the slope of the line y = 3(x - 9) + 2

A: The given equation is y=3x-9+2.

Q: Skill Practice 5 Write the expression as a single logarithm and simplify the result if possible. log...

A: The logarithmic properties to be used are: a) logbm+logbm=logbmn b) logbm-logbn=logbm/n c) logbmp=pl...

Q: use a calculator to find the approximate value of each expression rounded to two decimal places.

A: csc-1-32

Q: dy + 3x?y = x', x?, y(0) = 2. %3D dx

A: The given differential equation is  dy/dx + 3x2y = x2 y(0) = 2

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: 36. Find constants a and b so that each of the following limits is true. Va + bx lim 1 2

A: Given, limx→0a+bx-1x=2 As, Denominator of the limit tends to 0,numerator should also tend to be 0 (a...

Q: Be sure that you've familiarized yourself with the second set of formulas presented in this section ...

A: Solution:We have to solve first three question9. sin 6x+sin2x10. sin8x+sin2x11.sin 7x-sin 3xFormula:...

Q: Solution

A: The sum of two consecutive integers can always be written as 2n+1, but it can be written as 4n+1 onl...

Q: (x-1)yn-xy'+y=0 , x>1       y1=(x)=ex Find the second solution since a solution of the equation i...

A:

Q: Find a10 for an arithmetic sequence -20, -29, -38, -47... a. -110 b. -101 C. 101 d. 110

A: The given arithmetic sequence is -20, -29, -38, -47.... Here, the first term is a1=-20. Evaluate the...

Q: snip

A: The given function C(x)=0.25x+35 is a linear function and represents the cost of driving x miles.  F...

Q: Factor completely: 6x*y4 + 3x³y$ – 18r²y®

A:

Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is tw...

A: Explanation: Given that,  length of the rectangle is twice its width.     Formula Used: Area of rect...

Q: Graphical Reasoning Consider the function f(x) = r. (a) Use a graphing utility to graph the function...

A: Solution:Given      f(x)=12x2  

Q: (a) Graph g(x) = 3x - 9. (b) Find the zero of g. (c) Based on the graph, solve g(x) > 0

A: Given: gx=3x-9 For drawing graph of given function, we use graphing calculator

Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. a critical nu...

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a rive...

A:

Q: Given that f(x) = x² + 1, g(x) = the domain of each function in Exercises 21-29. Then find an equati...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: A particle moves along the curve ln x2 = sq. root (y+1). As it arrives at the point (e, 3), the x-co...

A:

Q: Theory and Examples

A: To simplify limx→4f(x)-5x-2=1, use the quotient rule, limx→cg(x)h(x)=limx→cg(x)-limx→ch(x) and the d...

Q: Use the definition of continuity to determine whether f is continuous at a. f(x) =(x2 + 5x)/(x2 - 5x...

A: The function is said to be continuous at the point at x=a it must be hold the following three condit...

Q: Find the amount that results from each investment. $400 invested at 7% compounded continuously after...

A: To find the amount that results from investment $400 at 7% continuously after a period of 3 years. S...

Q: sin (), x + 0 10. Find the value of K which makes f (x) K, x = 0 continues at x = 0.

A:

Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. x...

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.