Simplify the following: a. (3x - (9+5))² – (5x² – (4 +9)x + (9 +9)) (9+3) (5 x² y" z*) b. 52x* y z-7 5° x² y-5 z9

Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: What is the amplitude y = 3tan2x + 1 А. 1 В. 2 С. 3 D. indefinite

A: The amplitude of the graph is the maximum or minimum value of the graph.  The given equation is…

Q: simplify the expression (square root of 16 - x square) sd much as possible after subtituting 4cos…

A: Using sin^2(x)+cos^2(x)=1

Q: 5. Find 3/4 secr dr

A: Known fact: ∫sec2θ dθ=tanθ+C

Q: 4 -1 sec J2

A:

Q: Evaluate by Trigonometric Substitution: Vx2 – 9 dx 6. x2

A: Given: I=∫x2-9x2dx   ...(1)  Apply the trigonometric substitution to solve the given integral; Let,…

Q: find? dz =? %3D X = In(4 Cosu) y=4Sinu

A:

Q: Find the exact value of dydr. 1/4 Ja

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1 Given; I=∫141∫x2xxydydx

Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5* x'Vx'+4

A: "Since you have posted multiple questions we will solve the first question for you if you want the…

Q: Evaluate 2 [²4x² - 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your answer to…

A: We need to evaluate the value of the following integral ∫024x3-2x+cosxdx

Q: ecimals is fin

A: Here we have to find the approximation of    With n=4 subintervals.

Q: Use symmetry to evaluate the followingintegrals.

A:

Q: Evaluate dx without using a trigonometric substitution. 9+x2

A:

Q: 5.) y=cot(4(x+))-1

A: The function for the graph is y=cot4x+π8-1.

Q: O Find the equatisns ifyou know The rootSa. (うー,ノ ー4X の4=Ge 2X ②リ=e [a cas cos 3X+ CzSin3x -3X

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Explain why trigonometric substitution_ cannot be used where x =2 8ın o on 4 – x²

A: The solution are next step

Q: Did you write   y=cos(3x)   ?

A: Solve the following

Q: What type of roots are shown in the following diagrams? i) to this ii) IIIJ

A: This is a problem of nature of roots, application of differential Calculus.

Q: Find y" if y = cot(9x 2r+ 8).

A: Given, y= cot(9x4-2x +8)   To find: y''

Q: 9. y = sin(6r) + 1

A:

Q: sec? (1/x) dx. 9: (16pts) Evaluate

A:

Q: Find (an(cosx)) xp

A:

Q: 14. Find a) fesin2xdxb) Ja dx, using the substitution x-2 tan0.

A: (a). The given integral is: I=∫ex sin(2x) dx

Q: fx)x+3メん-4 チメナ3メムーリ Suな4i44xLO メメッメ0

A:

Q: y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: 9. Write in trigonometric form 4(V3 + i)

A: We will convert into trig form as following.

Q: )find dy to yalog,o(3X+1)

A:

Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: For the differenti al equation O de by find indeler mined coefficiente 9. O find yp by the method of…

A: Given differential equation is  y"-y'-6y=xe3x

Q: 377 sincx) -7Y Coscxe 21

A:

Q: duce the following expression to a single trigonometi sec2 (x) tan(x)

A:

Q: 4. 4. f_x²dxdx (9-x²)

A: The integral is given as ∫x29-x232dx. We have to evaluate the integral using trigonometric…

Q: swer is incorrect. Can you help me determine th

A: NOTE: As mentioned by the student, I am only attempting the d) part. We see that, The null…

Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

Q: If 4sin 0 – 8 = –10, where 0 <0 < 2n,what are the values of 0? List your answers as exact answers in…

A: 4sinθ-8=-10

Q: . y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: 41. sec-1 2V3

A:

Q: Determine the acute angle at which y = 2x – 1 and y = 0.5x + 2 intersect. 8014 8014

A: The equation of line is given as y=2x-1 Here slope is given by m1 = 2 The other equation of line is…

Q: -3D 3I5

A:

Q: Express the following in standard form. Show your work using the Equation Editor Tool. (-8+ 2i)?

A: To solve: -8+2i2

Q: 8) Use trigonometric substitution to evaluate V1-7w²dw

A: using Trigonometry substitution

Q: -1 sec V3

A:

Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: 1. How many cycles would there be in the graph of y = sinx, over the domain Osxs 1080? What about…

A:

Q: Evaluate S y³ dy √y² – 1 - by trigonometric substitution.

A:

Q: dx 9. 3/2 (4-x2)³/2

A: Given:

Q: Find the 6 trigo nometric tunctionc of the the ang C= 4

A: Given: c=34  and a=14

Q: 8 sin 0 = 23;

A: Given 8sin2θ=2 Divide both sides by 8, sin2θ=28          =14 Take square root on both sides,…

Q: -1/2 1 b) -dx (1+4x²)[tan" (2x)}

A: We apply substitution method of integration

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.