dx x² + 1

Q: Solve 2 sin?(w) + sin(w) – 1= 0 for all solutions. %3D

A: Given,           2sin2w+sinw-1=0

Q: 2. : Consider the function ry + cos y + x 2+ xy. (a) Find the derivative, dy/dx. (b) Find the equati...

A:

Q: Find the area of the triangle with vertices P=(1,1,0), Q=(0,2,1) and R=(2,0,0).

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Q: 1100 2+100) (s²+2s+10) taking the partial fractie 1100 00)(2+2s+10) -22s–990 85(2+100) y taking inve...

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Q: . Find the volume of the solid generated by revolving the area bounded by the curve y = In x, the x-...

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...

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Q: lim X--->0  3X(1 + cot^2 5X)

A: Given function: 3x(1+cot^2(5x)) Limit is evaluated.

Q: C. For any three noncollinear points, there is exactly one circle that passes through all them Thus,...

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Q: Evaluate the following using trigonometric substitution. Show all necessary solu (a) / V1+x² dr

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Q: (3) c) Make two separate plots of the function f(x)= 0.01x* -0.45x +0.5x-2 one plot for -4sxs4, and ...

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Q: if z=9x2-6xy+7y3, compute the partial derivatives: The partial derivative of 2z/x2 = The partial d...

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Q: One of the following ODE is a linear DE of second order O x³y"-3y'=e*+xy O None of these O *y"-3y'+y...

A: We are given some ODE and out of which we have to identify which ODE is linear DE of second order. T...

Q: Find the volume of the solid generated by revolving 4 the two x² the area bounded by the curve y = ....

A: The given curve is; y= 4/x2 the two lines are y=1 and y=4 about the y-axis.

Q: SS curl F · dS =0 S

A: we have to prove that if a surface is closed then the surface integral of curlF .ds is 0 Here applyi...

Q: Cos Q1:solve lim オ→+0 π

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Q: A contour map for a function f is shown. 24 7- 18 12 30 5 -4 -3 -2 2 3 40: Use the contour map to es...

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Q: Consider a 3 × 3-matrix whose first row is a vector a, the second row is a vector b, and the third r...

A: given row  of  3×3  matrix  is          a   , vector      b   , vector c=2a+3b    , vector

Q: The solution of the DE (1+ cot²x)y' = cscx coty is

A:

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point     

Q: The total cost function of a firm is given by C(q) = 0.04q³3 – 0.9q² + 10q + 10. Find the average co...

A: Given data for the question: Cost Function C(q) = 0.04 q^3 - 0.9 q^2 + 10 q + 10 General formula use...

Q: Find The Larger Area Formed By X^2 + 3y^2 + 7x = 3 and 2x^2 − 6y = 5

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Q: 1- The Newton's divided interpolating polynomial on x, = x,-1 + 0.25 , Vi= 1,2,3 , xo = 0 given by P...

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Q: Given that z is a complex number, sketch the common region shared by the following locus: |z – 2| 6

A: let z=x+iy

Q: Suppose that f(x, y) = x°y. The directional derivative of f(x, y) in the directional (– 2, – 1) and ...

A: Explained below 

Q: dx

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Q: Describe in words the region in R° represented by the equation x2 + y² + 2y + z² < 3

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Q: Find the area of the sector of a circle with diameter 30 feet and an angle of 5π/6 radians. Roun...

A: Explanation of the answer is as follows

Q: The weight of an object above the surface of the Earth varies inversely with the square of the dista...

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Q: For the function f(x)=6cotx determine its stretching factor and phase shift, and then graph it for t...

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Q: 1. Use matrix inversion to solve for x, y, and z if: x + 2y + 2z = −1 y − x − z = 0 2z + 3y + 3x = 1

A: see below the answer

Q: Question 10 To integrate --2x+6 dæ, the first step is to a2-a-2 A O Decompose the integrand to , + a...

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Q: Q3 A: Expand the following function into its Fourier series : - 5 <x< 0 0 < x < 5 3

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= , f...

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Q: The value of k so that the differential equation (6xy³ + cos y) dx+ (3kx? y? - x sin y) dy=0 is exac...

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Q: (0,3) 1 (-3,0), (3,0) -2 -1 -1 (0,+V3)

A: We will solve the following 

Q: Evaluate the definite integral (2423 – 24) da - 2) dz using Part 1 of the Fundamental Theorem of Cal...

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position gi...

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Q: This is a table of the values of a function H(t, h) at selected values of (t, h): Įt\h→ 100 100 115....

A: We have to determine an approximate value for ∂H∂t,∂H∂h at (3,150) and H(2.6,156). NOTE - As per Our...

Q: Question 8 In Va+8 it is best to let Oz= Va+ 8 O z= Va

A: Let's find.

Q: Business Mathematics.pdf 4. The cost function for a commodity is given by Ctx) = 5-2x, what is the m...

A: As per guideline we have to solve one question For your reference I solved two question

Q: Let a = (-1; 3; 2) and b = (4; -2; 1). (a) Find the cross product a×b.

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Q: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity. 

Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: C. Given : v = (3t – x)e-2t a²v 1. Find 2. Find atar

A: Given, v=(3t-x)e-2t

Q: r z+9z-2z2+19z-8 (z²+4)² dx

A: first we perform long division for the intergrand. then use the division algorithm: Dividend = Divis...

Q: Solve 4 sin (x) – 18 sin(x) + 8 = 0 for all solutions 0 < x < 2n. Give your answers as values accura...

A: Given:- 4sin2(x) -18sin(x) +18=0  To find :-   Solution of equation

Q: Find the antiderivative that satisfies the initial given condition. f"(x) = 2e" + 4 sin x, f(0) = 0 ...

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Q: Evaluate the integral. 2 tan (x) sec(x) dx (Use symbolic notation and fractions where needed. Use C ...

A: Consider the integral   

Q: 3. у' — х, х — 2у about ihe y - aхis.

A:

Q: Let p(x)= e5x be the standard integrating 3 factor to x y' +p(x)y =x°. Find p(8).

A: We have to find the value of p(8).

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.