Which of the followings are true? I p1000 ze (* - 1000)e- II. D2021 cos (54) = -52021 sán (5a) = 32021 3 - 2000!. 72000 (7 – 2)2000 III. D2021 3 0 0 IV. D2000_1 70-2 a. I, III, IV O b. 1,II O c. I, II, II O d. I, II, II, IV O e. II, II

Q: Express z = 12 (cos 225° + isin 225°) into its exponential form. ww

A:

Q: find S- とx 1-COS2X

A:

Q: /2 1lf If In = " x cos" x dx, when n> 1, show that п(п — 1)1-2 — 1 In 12 [Hint: cos" x = cos²…

A: Given: In=∫0π2x cosnx dx

Q: Use a linear approximation of f(x)=cos(x) at x=2π3 to approximate cos(123∘). Give your answer…

A: Given : function fx=cosx We have to approximate cos123° using the linear approximation of fx=cosx at…

Q: 5) Integrate 2x cos (x²-5) with respect to x.

A:

Q: (종-272 27=) + ain G + 272) The simplified form of cos O V3 cos 27z + sin 27z V3 cos 27z + v2 sin 27z…

A: Given cosπ6-27x+sin(π3+27x)

Q: Find an expression that is mathematically equivalent to (1 - cos(x) / 2) and in which excessive…

A: We will find the expression mathematically equivalent to the given term as following.

Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

A:

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

Q: 1 L-1 s(s² + 4). 1 1 [1+ sin(2t)] 2 [1 – cos(2t)] | Option 1 O Option 1 1 1 [1+ cos(2t)] 4 [1 –…

A:

Q: [5] Determine the y(2021) of y=cos²

A:

Q: 82. Show that cos at cos bt %3D In

A:

Q: 4. {sin(n)} 00 5. { In n=2 3 - n 6. 1- 3n J. n=1

A:

Q: Find L {(2- t) (5 cos 3t 1)}. - 5(s²+9) (s² –9)² 10s - 82-9 5(s2-9) 10s - - s2 s2+9 (s²+9)² 10 82…

A: As we know from the Laplace transformation; 1). La·ft+b·gt=a·Lft+b·Lgt 2). Ltnft=-1ndndsnLft And…

Q: 5. 1-cos2y 1+cos2y dy

A:

Q: Find L {(2- t) (5 cos 3t - 1)} - 1)} 5(s² +9) 10s s2-9 (s2 –9)² 5(s²-9) 1 2 s2 10s s2+9 (s²+9)² 2. 1…

A:

Q: L-' ( In 8s4 (252+25)(4s²+16) 2 cos 21+2 cos( 1)-를 2t cos 2t + 2t cos ( 1) - 2 cos 2t+2 cos :)- cos…

A:

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10…

A:

Q: -24-4s e S COS os(28) – 7 sen(28) cos s+6 s2 + 49

A:

Q: Evaluate L{e" (sin5t – cos3t)} . 3 s+5 А. (s+5)° +9 2 (s+5)° +25 3 s - 5 В. s-5) –9 (s-5)* +25 3 s+5…

A:

Q: A statistics professor has noted from past experience that a student who follows a program of…

A: Given that  A statistic professor experience a program of studying two hours in a class has a…

Q: Which of the following is true? cos(x) + cos(7x) ® s Ssin(4x)cos(3x)dx = [s A 2 B) All of the above…

A:

Q: Evaluate. 2tan2120° +2sin2150° -cos20° 5sin2300° +csc2150° -sec230°

A: To Evaluate. 2tan2120° +2sin2150° -cos20° 5sin2300° +csc2150° -sec230°

Q: Taking Joint H. Ź Fx=0 FHo Cos 45- Fan Cos67.5 Ho +130-6 563 cOszas:0 67.5 45° :: FHo Cos 45-Fan…

A: A system of equation is a set of equation with common variables in them. The solution of such an…

Q: Which of the following is true? @ Jcos(3x)cos(4x)dx= [ cos(x) + cos(7x) 2 BAll of the above ©…

A:

Q: 4s – 20 s2 – 4 Select one: None of these O 4 cos 2t – 10 sin 2t O -3e2' + 7e-21 O 4 cos 2t + 10 sin…

A:

Q: 7. Suppose x is a number such that cos(x) = sin(x). Then: O a) cos(2x) = cos(x) O b) sin(2x) =…

A:

Q: If 1, = |x" sin8x dx , Then 64 I,+n(n-1) I,-2 Select one: O- 8x" cos8x +n x" 7 sin8x O + 8x" cos8x…

A: Given :  In=∫xnsin8xdx                1 Using Integration by parts…

Q: Show that 100 1 arctan(100) – arctan(2) + E s arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

A: To show that: arctan100−arctan2+11002≤∑k=210011+k2≤arctan100−arctan2+122

Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

A:

Q: Find L{(t – 1) (2 – 5 sin 3t)} . O 2 5s 30s - 82+9 (s2 -9)² 2 15 15 - - s2 (s² –9) $(s2-9) 15 15 2…

A:

Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100…

A:

Q: when y=cos0 is horizontally factored by a factor of 1/4. y=co s1/4 θ y=cos θ + 1/4 y=1/4 cos θ…

A:

Q: Which of the following is true? A Jcos(3x)cos(4x)ax = [ cos(x) + cos(7x), 2 ® Jsin(3x)sin(4x)dx = […

A:

Q: C 3y° cos xydydx = O 3(1-Cos3) 5(1-cos3) cos3-1 O 5(1-Cos3)

A:

Q: What is R2 if beta = 0?

A: Solution : Consider a linear regression model, Yi = α + βXi + εi It is known that, coefficient of…

Q: 3. tane de ) 71+ n cose)/3

A:

Q: 7. a) 3[cos (800) + iSin (800)] X  4[cos (700) + iSin (700)] b)   10[cos (3500) + iSin (3500)] /   5…

A:

Q: Which of the following is true? A Jsin(3x)cos(4x)dx= [ Sin(7x) – sin(x) Jcos(3x)cos(4x)dx= [cos(x) +…

A:

Q: 3. Show f cos2n Ode 277 sin-n Ꮎ ᏧᎾ = 27 22n 11.1 n = 1, 2, 3,...

A: Using Cauchy integral formula.

Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

A: Note: As per Bartleby guidelines only the first question has been solved. Given: The function is…

Q: Graph the given function over a one-period interval. 3n 1 y= 1-sec x- 2 .... Choose the correct…

A:

Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

A:

Q: 40. Show that cos(30) = 4 cos e - 3 cos e for all 0. [Hint: cos(30) = cos(20 + 0).]

A:

Q: Prove cos 4x = 8 cos4 x - 8 cos2 x +1.

A: In trigonometric ratio,cos2θ=2cos2θ-1

Q: cos( 2 tan1 (x/ 4)) = Select one: O 2x ( 16 - x2 )0.5 / ( 2x2 - 16 ) O 2x ( 16 - x2 )0.5/ ( 16 - 2x2…

A: Solution:-.

Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

Q: 3 – 2ry' + 2y = x° sin x

A: The general solution will be the sum of the complementary solution and particular solution.   The…

Q: 2n (1-cos0 5. Evaluate p³cos²0 dpd0

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.