Graph the integrand and use geometry to evaluate the integral. 7 | (1x| + 6)dx -7 O A. 49 O B. 217 O C. 133 O D. 182

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. 8x?e"" dx +C

A: Given the integral

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Complete the square: (8x-x2) = -(x2-8x+16-16) => (8x-x2) = -(x-4)2 + 16 Substitute this in…

Q: ce the given integral by making an appropriate change of variables. X – 7y da, where R is the…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: Evaluate the integral. d.x NOTE: Enter the frullu simplified ansuner with no fractions 2/21der the…

A: To evaluate the given integral.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e" + 8e-X dx…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE:…

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if…

Q: 2. The area between the graphs of a(t) = t2 + 5 and b(t) = 2t3 + 3t? – 4t + 5.

A: According to the guideline we should have been able to solve only one question at a time #2

Q: a. ²₁ (5x¹-2x³) dx

A:

Q: V5 - 4x — х2 dx

A: Used substitution to solve the integral.

Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy = 2x with sketch.…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (7x4 + 6)…

A: Given: ∫x37x4+63dxSubstitute  u=7x4+6       Then dudx=28x3…

Q: Which integral represents the length of the graph of y = 1+6x/2 over the interval (0, 1: Select one:…

A: Find the length of curve

Q: Evaluate using the Reimann Integral: L2 (2a2 + 3) dæ None of the choices. Please refer to my…

A:

Q: Graph the integrand and use areas to evaluate the integral. 7 22) [ ( x|+ 6) dx -7 A) 217 B) 182 C)…

A: We have to graph the integrand and use the areas to evaluate the integral.

Q: 18 z-ya (i) z (x² + y? + z?) dz dydz I =

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: B\\ Find the area of the region enclosed by the parabola y = x? – 2 and the line y = 2x + 1.

A:

Q: Evaluate the integral. f32 d= -2 dx +C %3D NOTE: Enter the exact answer.

A: Let's find.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e- dx…

A: Use the appropriate substitution and simplify the Integral then integrate.

Q: Find the area enclosed by the line y = x – 1 and the parabola y? = 2x + 6. %3D

A: To find the area enclosed by the line y = x - 1 and the given parabola.

Q: Which integral represents the length of the graph of y = (x2-2) over the interval (3, 4]. Select…

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 9T dy da Jo (ry + 1)²

A: To find the value of the given integral :-

Q: Completing the square Evaluate the following integrals.

A: The given integral is ∫dxx2+6x+18. Evaluate the above integral as follows.

Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x = 6 andy 2x with sketch. %3D

A: We have to find the area enclosed by the three straight lines 4y=x, y=3x+6, nad y=2x.

Q: Find the area between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

A:

Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

A:

Q: Q3/ Determine the area enclosed by the three straight lines 4y x, y+ 3x 6 andy 2x with sketch.

A: GIVEN4y=x,  y+3x=6, y=2xFind interscetion point A solving y=2x=6-3x  5x=6   x=65=1.2Find 'B' using…

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: VI+ 25z°dz Evaluate the integral: + C

A:

Q: 4) Given the trapezoid shown, express the area in terms of x. - x+1 r+5

A: We have to find the area of trapezoid in term of x.

Q: Write an integral that quantifies the change in the area of the surface of a cube when its side…

A:

Q: Write out and find the following integral. Sxe2" dx

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts the rule is…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

A:

Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Given

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: Evaluate the integral da Select one: a. +C O b. о с. O d. - Inz - -/+C 2x inz -/+C - 2in1+²+C N 4

A:

Q: enclosed by Find the area X = 2y² and x = 8 the сикише

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e-2 dx…

A: Given: ∫5ex+2e-x5ex-2e-xdxsubstitute  u=5ex-2x-x     then dudx=5ex+2x-x…

Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: Evaluate the integral: , (x2 + 3x)² (2x + 3) dx Choose the most appropriate answer. -464.67 O 81.67…

A:

Q: Graph the integrand and use areas to evaluate the integral. 8) V49 - x2 dx -7 A) 77 B) 497 49 D) 49…

A: We have to graph the integrand and use the area to evaluate the integral.

Q: ,3 Y = 0 < x < 2 9

A:

Q: 19. Find the area in the first quadrant bounded by the parabola y² = 4x and the line x = 3 and x =…

A: The equation of the curves are C1: y2 = 4x ⇒ y =2xC2: x= 1C3: x = 3 To evaluate: The area of the…

Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. 9e" + 8e- dx =…

A: We will solve the problem

Q: Calculate the integral and express your answer in simplest form. | 9x?(1 – 3æ')* dæ

A: On solving this integral we will get

Q: Watch the video on a u-substitution followed by a this question. To start the integral a V1+x6 dx,…

A: Given problem is : Solution : We use substitution to simplify the integral.

Q: Use substitution to find the indefinite integral. p(p +4)* dp P(p +4) dp=[

A: p+4=z is the substitution.

Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

A:

Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx

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.