5. The period of the function f(x) = 3 cos 5x is 13 2 3

Q: 3 S² x³ cos x ²dx 6.

A:

Q: s nip

A: Given: 12cos2x+C=14cos2x

Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

A:

Q: 15. Evaluate 2 (3x + cos 4x) dx

A: The given integral is: I=∫0π2 3x+cos(4x) dx

Q: 7/4 Q6// S*x cos3 2x sin* 2x dx

A: we have,

Q: Which function has a period equal to half the period of the function in y= 5cos +4 3 X-T 10 y = 2cos…

A:

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

A:

Q: Consider the family of functions h(t) = cos(3.0t) + 1.5 cos(3.6t) + 2.0 cos(vt) for various values…

A: The solution is given in the next steps below:

Q: 5 dr dy Suppose x and y are functions of a third variable t. If sin²(x) + cos²(y)=- and dr - 2, what…

A:

Q: Match the function with its graph. 1) y = sin 3x 3) y = 3 sin x 2) y = 3 cos x 4) y = cos 3x A) B)…

A:

Q: Find the period of the function f(x) = cos(0.10x+2.07).  Provide four decimal places.

A:

Q: (a) f(x) =cos (7æ) cos (Tx) 3

A:

Q: on of period 2 pi in t. (x+sin r)(x

A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the…

A:

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: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

Q: 8. 2/3 cos¹/3 sin dt 0

A: The given integral is;  Cos4/3(t/2) Sin(t/2), limit from 0 to 2pi/3.

Q: 4) It turns out the three-dimensio ball than a football. A footba a trig function like y = a cos(E…

A: Volume

Q: 10. Find the period of the function: g (x) = 3 tan (6z + 42) %3D 6. 42 3, kl3

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: We have to refer to the graph of y = sin x or y = cos x Then we will find the exact values of x in…

Q: 29. A water ride with heights above and below the starting point can be modeled by the function y =…

A: Given: The function of height of water ride varying with time as y=3sinπ2x+3-2, where 0<x<5.…

Q: 8. What is the period for this relation y = cos(4x)

A:

Q: ¥2/3 6. cos'x sin x dx 5.

A:

Q: 4. An electric current can be represented by the function y = 2 cos (27(x -0.02)), with time in a…

A:

Q: 7) Suppose cos(x – y) = xy. Find at the following points 7.1) (0, 5) 7.2) (0,– 5)

A:

Q: 5. Find the period of the function y= 5 cos(3a). %3D O 3T 5 O2T 3 占5

A: Trigonometric function

Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)

A:

Q: 29. How many periods are between o and 2n for the function y= cos5x. A. O B. 3 C. 2 D. 1 E. Not…

A: We have to find  no of period

Q: y = e2* (c, cosx+ c, sin x)

A:

Q: 5. The function f(0) = (sin O+cos 0) + (sin 0– cos 0) may be written as

A:

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: 3 sin x If f(x) then 1+ cos x f'(x) = f'(1) =

A: topic -derivative of a function

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

A:

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value…

A: we use the formula ddx(ax)=ax lna

Q: Q1:- Solve the following DEs:- xy2-cos x sin x 1) y' = y(1-x²)

A: The most general form of a linear differential equation of first order is dydx+Py=Q where P and Q…

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

A:

Q: 1 of 7 Which graph of the function y=2 sin 3(0-90")+1, where -180" e< 180", is best illustrated…

A:

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

Q: 1. Consider the two functions f (x) = cos 4x and g (x) = ) (a) Write down: (i) the minimum value of…

A: Given: fx=cos4x, gx=x2 we know that cos4x∈-1,1∀x∈R so, minimum value of fx is -1 now, we know that…

Q: 9 If f(0) = cos 01 ·cos 02·cos 03 ....cos 0n %3D Show, {tan 0 + tan 02 + tan 03 + ... + tan 0,}=- f…

A: First note the results derivative of log x is 1x and derivative of cos(x) is -sin(x). The proof of…

Q: 7. Over the domain 0s x s2n, the equation cos(x)-sin(x)%3D2 cos(2x) has:

A: We find the solution in the following way by using trig identities.

Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

A:

Q: 2. Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: 2 Given function is fx=e−x3.2sinx−0.5cosx. We have to find the roots of the function fx on the…

Q: 2. Consider finding the root of f(x) = e"(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A:

Q: 9. (2 sin x – 3 cos x) dx • T/2 - T/2 -

A: We use Trigonometry table for final answer  and cos(-x) = cos(x)  sin(-x) = -sin(x)

Q: 2 35 sint x cos³x «

A:

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.