Ex: Let tanh u = – determine the values of the remaining five hyperbolic functions.

Q: 6. Find the length of the curve r = 1+ cose

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Q: Equation is f(x)=3x-x^2

A: First we find out the slope of tangent line at x=2 and then the equation of the tangent line is…

Q: Find the area bounded by the trigonometric curves Ⓒ 3.450 square units O 2.828 square units O 1.414…

A:

Q: find the domine of the function y(t)=sin 4t

A: Consider the given function: The domain of a function is the set of input or argument values for…

Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: Ex:57 Find the FisiE of the Juuctiou sin TIt ZL oくtくし - siu -Lくtく

A: Given, The formula for the Fourier series expansion is,

Q: Find the tangent of ZZ. 37 35 12 Y Write your answer as an integer or as a decima tan (Z) = Submit

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Q: dy if x = 1lellt, da Using the parametric differentiation find y = 3e22t %3|

A: At first differentiate x with respect to 't' we will get dx/dt. Then differentiate y with respect to…

Q: Find the derivative dydx of the polar function r=1+sinθ at θ=π4.

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Q: Use Cauchy's integral formula for the derivatives to evaluate exp(iz) dz z* where C is the unit…

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Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line…

A: Given query is to find the points where tangent is horizontal.

Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

Q: Find the point where the CAUCHY-RIEMANN equation is satisfied for the function? f(z) = xy2 + x²yi

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Q: Express the function r = 4 cot 0 csc 0 by cartesian form %3D

A: Cartesian form is that when we write any equation in the form of x and y.

Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions…

A: We use the following identities to find values of other hyperbolic functions:

Q: The domain of the function y tanh z is 1, +∞). Select one: a. False Ob. True

A: To find the domain of this function, we use the fact that for any one-to-one invertible function f…

Q: Where do the curves of y cos(x) and y = x³ - 1 = intersect? Use bisection.

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Q: Suppose that the radius r and surface area S = 4pai r2 of a sphere are differentiable functions of…

A: The relation between surface area and the radius of the sphere is as below.

Q: If h(z) = arcsin(2)(4z + 3), find h'(z) =

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Q: Find the equation of the tangent line to the graph of f(x) = xcos(4x) at x= 4 Enter your answer in…

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Q: An equation of the kangent and hormat. X+sinx líne to khe curve Y =xê

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Q: Sketch the curve corresponding to r = 1 + cos θ.

A: we have to sketch the graph of the polar curve r=1+cos θ.

Q: Find Sc F · dr for F = 3yi – (sin y)j on the curve counterclockwise around the unit circle C…

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Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

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Q: Sketch the following curves 2. y = sin(x) + v3 cos(x) on [–27, 27].

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Q: Find an interval of t-values such that c(t) = (cost,sin t) tracesthe lower half of the unit circle.

A: Consider the given point as ct=cost,sint

Q: Use Definition 3.2.3 to find f'(x) and then find the equation of the tangent oʻI+*p = o y = Vx+1, a…

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Q: cos(x) dx

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Q: Find the absolute extrema in the interval [-PI ,PI] of y = 2cos x .

A: topic - extrema of the function

Q: Sketch the curve y=sin(x)/(1+cos(x)).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: dz az Find and of the equation z = xy arctan ax ду

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Q: Q2 : Express the function r = cot 0 * csc 0 by cartesian form

A: Here we have given a function in the polar form and we have to convert it into the Cartesian form.…

Q: box 13. Suppose the radius r, volume V, and surface area S of a sphere are functions of timet. dV…

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Q: Express the function r = 4 cot 0 csc 0 by cartesian form

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Q: Sketch the motion of a particle with position as: x = 5 sint y = ²/-nstsn - St≤n as tvaries in the…

A: We need to plot the motion of the particle, whose position is defined as: x=5sint, y=t2 in the…

Q: Differentiate the function.

A: Given: F(t) = et sin 2t  To find: Derivative of the function.

Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: let a>o be a fixed real number. Let acoscx?3+ X ln cy) = y2+2xy+ & -1 find the equation of the…

A: the given equation of the curve is: a2cosx2+xlny=y2+2xy+a2-1 we have to find the equation of the…

Q: ind all the tangents to the curve y cos (x %3D

A: Here we have to find the tangents on the curve y=cos(x+y)...........(1)     , -2π≤x≤2π parallel to…

Q: find directly the Laplace trans- forms of the functions described (by formula or graph) in Prob-…

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Q: Find the lengthof the curve r= a sin² (0/2), 0 s0s T, a>0

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Q: праго grap J para. ays no Find all points on the graph of the function f(x) = 2 sin x sinx at which…

A: Given function is

Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: Find the are of the sector on the specified interval  r= sqrt*tan theta  0 less than equal to theta…

A: Find the area

Q: Find the absolute extrema of the function y tan( on the closed interval [0, 2]. %3D 8.

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Q: What is the arclength of the function y = 2x² on the interval [0,1]? 0040 (10/10 – 1) 20 10 27 / 10…

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Q: that cos (x-T) 2/a Find the puints on the curve y= 2x-3x-12.X + 20, where the tangent is parallel to…

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Q: If 1-x V1+x y = Tan where |x| <1, then find dyldx.

A: Given y=Tan-11-x1+x. We need to evaluate the differential of y with respect to x. Tan y =1-x1+x…

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.