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Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

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Q: Kylie drinks 200 milliliters of orange juice each morning. How many days will it take him to drink a...

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Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: Solve the differentialt

A: Given differential equation is x2−y2dy=2xydx......1 We have to find the solution of the given differ...

Q: Evaluate the moment Mx and M, of the region bounded by x = 2y – y? and the y=axis.

A: A double integral involves the integration with respect to the product of the variables x and y. The...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x2 – ...

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Q: For the homogeneous Fredholm equation y(*)=2] sin(x+5) the'eigenvalue a and the corresponding eigen ...

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Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In...

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =...

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Q: Problem 6. Let S be a linear transformation, S : R³ → R² such that R(S) = R? and N(S)= {tb|t E R}, w...

A: Let S:ℝ3→ℝ2 R(S)=ℝ2 and N(S)={tb|t∈ℝ} b=(6,-5,1)T

Q: Show that the solution, of the differential 5x3 is of у — ху? — х*у dy equation: dx xy² – x²y – 2r³ ...

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Q: Find the selling price of a dvd set which costs Rs2109 and markup is 30%on cost.what is the amount p...

A: Given: Cost price of the dvd set is Rs 2109 Markup = 30% on cost price.

Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined o...

A: We have given that , V is a set of all real valued continuous functions defined on a , b with vector...

Q: dy +ky = a sin bx dx %3D Show that the solution of the differential equation is given by: 2 +b²+ab K...

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Q: The base of a certain solid is the triangle with vertices at (-6, 3), (3, 3), and the origin. Cross-...

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Q: 1. The differential equation is said to be linear if and only if the degree of dependent variable is...

A: Since you have posted a multiple  question according to guildlines I will solve first   question fo...

Q: (b) Length V2 and same direction as v = (5,0, –1). 5 1 w = :, 0, -

A: Vector calculus

Q: liferential equation with variable coefficients, y" + p(t)y/ + q(t)y = 0 (i), %3D can be transformed...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: etermine if the series converges or diverges n (-1)3п n4 + 1 =1 onsider the power series. Use the pr...

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Q: Solve the problems below that pertain to constructing a fence. (a) A farmer wishes to enclose 6,724 ...

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Q: Gwyneth is developing a computer game based on the popular game Battleships. The objective of the ga...

A: Introduction: An expression of the form ax2+bx+c is referred to as the quadratic expression. A quadr...

Q: 3-x Evaluate I = [, x-2 (ii)

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Q: Find Ix, Iy and Io for the first quadrant area outside the circle r= 2a and inside the circle r = 4a...

A: Moment of inertia of a region A  about x-axis Ix=∫∫Ax2dA about y axis Iy=∫∫Ay2dA about origin Io=∫∫A...

Q: In triangle ABC, c-150 cm, angle C-70°, angle A=45°. Determine the length of the median drawn from t...

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Q: Consider the matrix: 1 3 -5 | A 1 2 2 -2 -1 3 (a) Use Cramer's Rule to solve the following system fo...

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Q: Find the complete integral of the z'(p°z² +q°)=1

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Q: Determine whether the relation ? on the set of all people is reflexive, symmetric,  antisymmetric, a...

A: We have to determine whether the relation R on the set defined in the parts (a) and (b), are reflexi...

Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 2ky + k² = 0 and ...

A: As per the question we have to find the volume of revolution of the area bou

Q: Consider the integral // | 2z°dzdyda, where E is the tetrahedron with vertices (0,0,0), (5,0,0), (0,...

A: Evaluation of the triple integral, bounded by tetrahedron  

Q: Solve the problems below that pertain to constructing a fence. (a) A farmer wishes to enclose 6,724 ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: The orthogonal projection of a vector a→ onto a vector b→ is calculated using the formula: orthb→a→=...

Q: 18. Suppose that we were to approximate f (1) = cos æ using the 3rd degree Taylor polynomial T3(x) =...

A: Given suppose that we were approximated f(x) cos(x) using the 3rd degree Taylor polynomial T3x =1-x2...

Q: The rate of change of the temperatu

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: 10 x2+9 dx 5

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Q: Find the area bounded by y = sin(x) and y = sin (x) from 0 <xs. %3D %3D

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Q: E. Prove the following: 四- Iz.l 1.

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)? = -4(x – 4) ...

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Q: Find the graph of this arclength

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Q: 2. Determine if the series n n4 + 1 n=1 Σ (-1)3n converges or diverges. 3. Consider the power series...

A: Series and sequences

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.425 ...

A: Given figure is   where  Area A=1.425Area B=2.56Area C=5.843Area D=1.764

Q: [(b- 1)/ (8b? – 8b)1 • [6b? + 8b]

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Q: n²(n+2)! Which of the following is TRUE for 00 n!32n Lütfen birini seçin: a.Diverges by Alternating ...

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Q: How many even factors does the number 3,809,975,400 have?

A: We will use the basic knowledge of number theory and prime factorization to answer this question pro...

Q: PROVE |z.|-|z,|<|z, – z||

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Q: Let m, n E Z4 and X # Ø. (a) If m < n, define an injective map f : X™ → x". (b) Define a bijective m...

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Q: I need help :( can you please explain how the graph above can be used to solve the equation and what...

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Q: i) Solve the following first degree equations. a) (x+6) _(5_2x) + 2 = 0

A: Let us consider the first degree equation ax+b=0 To simplify the equation  Rewrite the equation by ...

Q: If both >an and ) b, are divergent then an infinite series of the form n=1 n=1 > (an – bn) is always...

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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.