The height of an arch above the ground is given by the function y = 6 cos x for -55x55. What is the average height of the arch above the ground?

Q: Find  the slope of the curve y=cos((pi tanx)/6) at the point where x=pi/2.

A: given,  y=cos(pi tanx)6  at x=π2

Q: Integrate the function by using trigonometric substitution. dx, x < 2

A:

Q: Simplify sin(t)/sec(t)-cos(t) to a single trig function with no fraction.

A: To Simplify the given identity  to a single trigonometric function with no fraction.  sintsect-cost…

Q: Express cos°x as a function of multiple angles.

A: The function of multiple angles is given below,

Q: Find the amplitude and period of the function. y = −4 sin(6x) amplitude        period

A: To Determine: Find the amplitude and period of the function.…

Q: Find f' (x), if f(x) = sin(2x* – sin(x))

A:

Q: Find the amplitude and period of the function. y = -sin(3x) amplitude period

A: Given f(x) = -sin(3x) Since for f(x) = asin(bx) , the amplitude is  |a| and the period is 2π/b

Q: Solve the equation for x. arccos x = arcsec x

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

A:

Q: What is the value of , x(x + 1)+ dx ?

A:

Q: S tan' (2x)sec“ (2x) dx

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

Q: Using appropriate substitution tan3. dx sec5x tan³x is equal to

A:

Q: If f(x) = 7x? arctan(8), find f'(x).

A: TO FIND: f'(x)

Q: Differentiate sin (x2 + x) with respect to x.

A: The given function is, y=sinx2+x. The objective is to differentiate the function y=sinx2+x with…

Q: The amplitude of F (x) = } sin is

A: The amplitude of the sine function is the distance from the midline to the maximum point.

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: find f''(x)=sinx+cosx, f'(0)=6, and f(0)=9

A: We have given f''(x)=sinx+cosx, f'(0)=6, and f(0)=9

Q: Find the trigonometric integral ∫x tan4 x2 dx

A: Given: I=∫xtan4x2dx for evaluating given integral, we substitute  x2=t…

Q: Find ∫(tan3 x/ √sec x) dx.

A:

Q: Solve the equation for x  arcsin√2x = arccos√x

A: The given equation is sin-12x=cos-1x

Q: Differentiate sin(3x+5) with respect to x

A:

Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: Simplify the result, find the derivative.

A: To Determine: Derivative of the given function.

Q: is x12 an even or odd function? Is sin x2 an even or odd function?

A: Note that -x12=x12. Thus, x12 is an even function.

Q: Calculate f/2 ( sin a) da xp

A:

Q: Determine the sum of the coefficient/s when we evaluate (sec(x) – tan(x))²dx.

A:

Q: How many periods of the function y = tan x are there between -27T and T? %3D [?]

A: We have to find

Q: Consider the function f(x) whose second derivative is f"(x) = 10x + 10 sin(x). If f(0) = 4 and f'(0)…

A: Given that: f''(x)=10x+10sinx

Q: dx 20.5 x√4x²-49

A:

Q: find the largest and smallest value of the function y = 3-sin3x

A:

Q: . Estimate the root of the expression, f (x) = x² – cos x, using: d. MOSS using xo = -1 with error…

A: As per the question we have to find the root of the equation : f(x) = x2 - cos(x) = 0 With tolerance…

Q: The value of f -csc(3x)cot(3x)dx is

A: We have to find integral in this question.

Q: find all possible functions with the givenderivative. y' = sin 2t

A: Given: dydt=sin2t for finding solution of given equation, we use variable separable method so,…

Q: Differentiate the function. sin e + y = 4

A:

Q: The voltage coming from the electricity distribution company is fluctuating according to the…

A: This This question is related to trigonometric equations,  we will solve it using given information.…

Q: What is the relationship between the domain of a the function y = sin x and the range of the…

A: Topic:- range and domain of trigonometry function

Q: Describe how sec t varies as t increases from 0 to p/2.

A: Based on the circular definitions, to represent the values of the trigonometric functions…

Q: Solve for x in the equation: arctan(2x) + arctan(x) = pi/4

A:

Q: y = sinx sin2x

A: We will solve the problem.

Q: Differentiate f(x) COS (5x). Use exact values. f' (x)

A:

Q: | arctan x dx=?

A: We evaluate given integral

Q: x tanx dx =?

A: Topic - integration

Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If f(0) = 2 and f'(0)…

A:

Q: What is the range of the function y = sin-1x? Select one: 2' 2 (-플, 끌) 2' 2 O [-1, 1] O [0, 1] 프2 프2

A: Given function is y=sin-1x

Q: Find the domain and range. In interval notation. y = 3 cos x

A:

Q: What is the approximate value of x in the diagram below?

A: Given: ∠B=90°∠A=25°AC=18  cmBC=x  cm

Q: Find the value of cosh²x - sinh²x a. e b. 1 C. X d. 3

A: Substituting the formulas of sinhx and coshx in the expression

Q: find the implicit formula of sinxy=x+y

A: Given,

Q: Determine the period of the function: y = } sin (§ – x) OR о бл Previous

A: The given function is  f(x) = (1/2)sin(x/3 - π)

Q: 18. f (x+9)dx x²+6x+25

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.