34. A periodic function f of period 4 is defined as follows: (1 – x², {2x – 5, Osx< 2 f(x) : 25x< 4 The value of f (11) is A I B -1 с 17 D -120 B

Q: b. Periodic Signal whose period is defined by g(t) = {1; 0 ≤t≤1 1≤t≤2-

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Q: Can you please answer this question and show all of the steps and say the correct letter

A: Consider the limit

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Q: 1) Match each function with its gray-Cos Cos x y = Sin x y=-Sin x y =-Cos x Slide correct function…

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Q: B\ Suppose that = 4 cos? t , x = v3 sin(2t) and 0 < t < n. S d²y *= - tan(2t) and = -sec (2t). 1 dt2…

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Q: 4. Sketch a graph of y = -2 cos 2 for-2x SxS2n. v List 3 points below.

A: The given function is: The general form of the cosine function is: where, |a| represents the…

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Q: 1/2 Find a limit equal to cos(2x) dx.

A: We have to find the limit integration: ∫0π2 cos2x dx We know formula, ∫cos x=sin x+C∫ cos ax dx=sin…

Q: 5x*e", 0S1 y(x) =

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Q: 43. If the period of a periodic function j(z) is T. Then the period of f(2z + k), k € R is А. Т В.…

A: →If any periodic function of f(x) has period 'T' then:1) Function of the form f(x+b) will have the…

Q: 3 9) Use y'(3) to determine if the graph of y = 4 cos x +- is increasing or decreasing when x = 3.…

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Q: 1. The graphs of f(x)= sin(x) and f(x)=tan(x) have the same А. Amplitude and Period В. Zeros С.…

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Q: 4. Show that f(x) = sin(x² + 3x) is equal to g(x) = -x cos(x) at least once on %3D Hint: Think about…

A: Given that, f(x) =sin(x3+3x),  g(x) =-xcos(x) Given an interval as -π,-π6 To show that f(x) and g(x)…

Q: 8. Sketch the following graphs for 0 < 0 <2n a) y= 3 sin x - 1 b) 4 sin 3x - 2

A: Topic = Graph

Q: Suppose that x2y" + axy' + by = 0 has the general solution of the following form: y = x-(C, cos (3…

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Q: 11 Evaluate (( sin(y²)dydx where 2: 0<y<1, 0<x<y. 0 x a) 1-cos(x) b) 1-cos(x)) 1 - cos() 2 d) 1.…

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Q: 8. lim,0 1-cos x 2x2 1 (a) 1 (b) – (c) 0 (d) ; (e) 1. -

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Q: Given the function y=sinx-2 for 0°<xS180° 5.4.1 Draw the graph on its own system of axes on the…

A: According to question,Given function,y = sin x -2,where,0o ≤ x ≤ 180o,

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Q: 3. Suppose o1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is a…

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Q: 7. Drawn below is an odd, periodic function with period 3. f(x) dx = 5 y = f(x) (i) Calculate the…

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Q: 28- For What Values of a anel k is a X <-1 ー<くく -2 Cx) = ax-b 3 Continuons at every X ?

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Q: Suppose that a y" + axy' + by = 0 has the general solution of the following form: y = x'(C1 cos (3…

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Q: b) Show that the ode (x + tan-¹ y) dx + x+y dy = 0 is exact, then find the general solution and 1+y²…

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Q: The limit in lim (46 x; - 28 sin (x;)) Ax i=1 on the interval o, is equal to 2 (23 x² + 28 cos (x))…

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Q: Beräkna gränsvärdet: x³e(x-3)² lim X-3 x³e(x-3) cos x - 3

A: The limits can be calculated for the function by inserting the value of the limits in the function.…

Q: b) cos 5x = -0.7 %3D a) sin 2x = 0.3 Cosc 57) to.7 Sin (2x) - 03-0 Cos C5x)+0.7 x -a xis at Letu=…

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Q: Find the maximum and minimum values of y = 0 – 2 cos(0) on the interval [0, 27]. maximum y =

A: The given function is y=θ-2cosθ, 0,2π.

Q: 1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

A: Given query is to find the limit of the expression.

Q: 1) Find the function and graph it for a function of the form y = -2 cos br that passes through the…

A: first we will find the value of b by putting given conditions in ques. And then we will plot the…

Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 8. The graph of the function t 0<t<n 2n-t n<t<2n f(t) = within and outside of the given range,…

A: Plot graph of f(t):

Q: Within the interval (-5.14, 7.41), for what value of a does f(r) take on a minimum if f(x) = -6.6…

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Q: 10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your…

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: Given that f is a periodic function of period 4 S x?, 0 sx< 2 and that (x) = {x + 2, 2 5 × < 4' then…

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Q: Find a function of the form Y = A sin(kx) or y = A cos(kx) whose graph matches the function shown…

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Q: [9] Find a 27-periodic solution u(x) of 5u"(x) + 3u(x) = f(x) where f(x) is a 27-periodic function…

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Q: A16.1 Sketch the following periodic functions over the interval [-6, 6]. (a) f(t) ={ f(t+2) -1<t<1…

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Q: 3 2 10) Find the arc length of f(x) = x3 + 10 On [0,8].

A: To find the length of the arc for the given function f(x)=32x23+10 on the interval [0, 8]

Q: 2. 다음 함수 /의 1계 편도함수를 구하여라. (1) f(x, y) = 2x²+ 2xy² - y' (2) (x, y) = tan(x'y) (3) f(x, y) = e'cos2y…

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Q: A T 3n 4n Sn 6 7n 8A 9n 10n11n 12n Match the graph to the equation. 4 cos -1 O y = 3 sin - n) - 1…

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Q: メ1+ x€ Lat F Cx, x = F•dr whera yer CIS elosed c is Sagmants from C0,3) to Co,0) than from C3,0) to…

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Q: in(cos(x)) 2 limy→0

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Q: 7) The function (h) is.dsfined by: h(t) = 0 if t e] – 00; –1,5n[ ; h(t) = cos(0,5t – 0,25 n) if te…

A: Given :  ht=0, t∈-∞, -1.5πcos0.5t-0.25π, t∈-1.5π, 2.5π0, t∈2.5π, ∞

Q: 16. So the maximum occurs at an angle of 0, but only if the angle is small enough. Explain why that…

A: Given: v=2μgscosθ+μsinθ Here μ is the coefficient of friction, g is the acceleration due to gravity…

Q: 10.6.6) Find the unique periodic solution to y" + 5y = f(t) where f(t) is the 2-periodic function…

A: Given: The unique periodic solution is calculated to y'' + 5y = f(t) where f(t) is the 2 periodic…

Q: -1 (x³+y³ ,3. then xdw dw +y dy If w = tan x-y sin(w) sin(2w) cos(2w) None of these

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.