What is Arccot(-/3) if 0 < 0 < T?

Q: what is sin(3t)dt with upper limit of pie/3 and lower limit of 0?

A: Integration of sinat is -cosat/a

Q: (-х+а, х < —1 If f(x) = {x² + 5, –1 < x < 2 is continuous then х — b, х 2 2 a + b =?

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Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: The limit of sin x as x approaches positive infinity does not exist. O True O False

A: Topic:- limits  Note:- As per our guideline if more than one question uploaded than only first…

Q: - Show that charactaristic function associatel with two distinct chavacteristic values always…

A: We have to show that the eigenfuctions/characteristic functions associated with two distinct…

Q: Express dx as a limit of left Riemann sums but do not attempt to eval- x2 uate the limit.

A: Given, ∫-11-6 5x2dx

Q: hint: tant tan(6/2") tan(2t) tan t 2" A equals tan(6) B converges

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Q: The limit as x approaches infinty of (x+3^x)/(x^2-3^x) Evaulate using L'Hospital's Rule providing a…

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Q: Find the length of the graph of f(x) = cosh(x) for 0<x< In(12).

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Q: Calculate Ls for on the interval

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Q: Is it possible for φ(n) (the Euler's totient function) to be bigger than n?

A: The objective is to find the possibility (if any) for φ(n) (the Euler's totient function) to be…

Q: A certain young lady decides on her twenty fifth birth day that it is tir weights 100 Kg. She has…

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Q: on. Find the method of moment estimate for 0

A: Given that sample size n = 4,  Y1 = 0.42, Y2 = 0.1, Y3 = 0.65, Y4 = 0.23

Q: )=x+- at x = C at x = 0

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Q: Give an example of a function that is continuous on -∞ < x < o but is not differentiable at x = 3.

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Q: 1. Show that a frination fiłamb ]->1R is differentiable at xolamb) is and only if its lower and…

A: Solution: f:[a,b]→ℝ is differentiable at x0(a,b). Let us take upper derivative at x0+. Then,…

Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

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Q: 8 Use right endpoints and 3 intervals to estimate S dx. 2

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Q: find the lap Las Traus fur of 2ス K

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Q: limit as h---0 for the funtion ((e^2h)-1)/h using L'Hopitals

A: We need to evaluate the given limit using L'hopitals rule. As per L'hopitals rule, if we get 0/0 or…

Q: Compute limit as x goes to infinity of (cos(x))/(x)

A: We find: limx→∞cosxx We solve this limit by using Squeeze theorem. Squeeze theorem states that if…

Q: Express the limit as a definite integral on the given interval. n X;* -Дх, [1, 9] lim (x;*)² + 4 n-…

A: limn→∞∑i=1nxi*xi*2+4∆x,    1, 9 Here, fx=xx2+4, a, b=1, 9

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: 4. Find the length of the arc of f(x) = ÷ (1+ x²)ē between x = 0 and x = 3. %3!

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Q: ar is exam. pility that th

A: The probability of producing defective cars given car produced by factory 1 is, PDF1=0.02 The…

Q: etanx -25ınttanx=0

A: tanx-2sinxtanx=0

Q: 5. Use L'Hopital's rule to evaluate e* +2 limy-o ex +

A: limx→∞ex+2xex+5x

Q: find of the inflection neacity point of ) where is 814 Also explain it gomdhically cometicall

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Q: How to find the median with an integral when f(x)=4(1-2x) on the interval [0,1/2]

A: Consider that a continuous random variable X has a probability density function f(x), over the…

Q: Show that x + is increasing on [1, 0).

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Q: Find the length of the arc y = 8. 1 from X = 1 to x = 4. 4x www

A: Given

Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: What is limit as x approaches infinity of (sin(8x))/19x?

A: Ans = 0 For detailed ...go through the solution..I have done step by step with explanations

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

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Q: Prove that the arc y = log secx from les (2+ 3

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Q: 4. Determine if 1 1 sec if – 1 1 x – 1 is continuous or not at x = 0 and 1. In the case of…

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Q: The tangent line to y=f(x) at (−8,−5) passes through the point (−3,10). Compute the following f(-8)…

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Q: If Z= tanh) show that: *

A: The given function is z=tanhyx We have to prove that x∂z∂x+y∂z∂y=0 ∂z∂x=The partial derivative of z…

Q: limit x to infinty tan(5t)sec(99t)/t

A: Lim           f∞(st) Sec(q q t )tx→∞    Here limit x→∞ But the function is in t ∴

Q: (i) Prove that Lim Vent +1 1 1 + + + /2n²+n] ... V2n2+2

A: Given that, g(x)=limn→∞12n2+1+12n2+2+....+12n2+n from sandwich theoram we can say if f(x)≤g(x)≤h(x),…

Q: 29 - For uhat values of a and b is ax+2b x+3a- b くXS2 3X-5 Continuous at every X ?

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Q: express the limit as a definite integralon the given interval

A: Question: Answer:

Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

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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.