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Q: Evaluate the moment M, and My of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A: given curves y=2x+1 , x+y=7 , x=8 evaluate the moment Mx and My of the region 

Q: Focus: What are the trigonometric ratios? Learning Objective: I will be able to find the missing sid...

A: Given: Triangle with values.

Q: 5 Find: a f cos r dr Hint: In b sin r sin r sinr (1- cos? r)2 sin r, etc. b S sin r dr c sin r cos3 ...

A: 5a We have to evaluate the integral ∫cos3xdx. Rewrite the integral by using identities ∫cos3xdx=∫cos...

Q: 4. Use the following statements to construct a disjunction. This month is June. Next month is not Au...

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Q: Solve Application Problem Question 1 Zaida owns a business that sells a video game she designed. T...

A: Q.1 Part 1 Given - Zaida owns a business that sell a video game she designed . the price (in dollar)...

Q: Find the general integral of the following first order partial differential equations p+11lq = 7z+co...

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy problems....

Q: 2. Find the general solution to the differential equation y(4) – 7y(2) + 103y' – 4y= 0. - %3D

A: We find general solution of y(4) -7y(2)+10y'-4y=0......(1)

Q: 2. The Batmobile travels in a straight line such that t seconds after passing through Arkham, its ve...

A: We will use the basic knowledge of differential calculus to answer this question. Please note this i...

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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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: 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: bit strings have an equal number of 0's and 1's?

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Q: (0,0,-1) across the slanted face of the tetrahedron in the first octant, normal vectors point upward...

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Q: Exercise 2 Let f be the function defined on [0, 1] by { sin(-), if x # 0; if r = 0. if x + 0; f(r) =...

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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: Determine all the roots of z8 – 2z* + 1 = 0

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Q: Matrix A is a 5 x 5 matrix, while matrix B is a 5 x 2 matrix. Matrix A added to matrix B will be O d...

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

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Q: Find the value of x. If necessary, round your answer to the nearest tenth, O is the center of the ci...

A: The given figure is 

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: This complex number is pure real? 1-2i/i and why?

A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:...

Q: 4dx + (x -y + 2)²dy = 0 %3D

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Q: (x + 7)" 2n Vn2 – 1 Consider the power series > n=2 1. Use Limit Comparison Test to show that the se...

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Q: 5 2.51. s(s-2)3

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Q: [3/ (x- 4)] = [(3x + 36) / ?] [4/ (2x + 5)] = [? / (2x? – x– 15)] [(x + 2) / (3x + 2)] = [(3x? + 4x ...

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Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms....

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Q: "+y* x cost , Sint i t. T 2) wa + * cos't , ya s+: 2.1/4, +a 3 2.

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Q: 2. Find the distance between the pairs of points using the distance formula. b. (4,8), (8,0) c. (0,5...

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Q: {{::) eR}. sider V = : #1, 22, 23 > 0 and ¤1, x2, x3 ER pose the vector addition and scalar multipli...

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Q: 2. Use Dijkstra's algorithm to find the shortest path from vertex, (a) 'A' to 'L', (b) 'A' to 'G' of...

A: We are asked to find the shortest path between two given vertices using Dijkstra's algorithm. (a) Th...

Q: x-1)" log n Consider the power series where log n is the logarithm of n to the base 10. n=2 (a) Show...

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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: dy 2. х 3y : = x2 dx

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Q: x* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx x* + ах3 + 2bxа+ 2abx*

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Q: How many permutations are there of all the letters in the word STARBUCK if. a) the first letter is a...

A: Given word STARBUCK To find The total number of permutations in each case. 

Q: diag(a1, ..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main di...

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Q: 1 Let f(2) 2- 9 Part (a) Integrate the function f(2)along the curve C in the complex plane given by ...

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Q: Find a primitive third root of unity e F7, then verify by direct computation that (5 - 5)? = -3 in F...

A: Primitive roots are those x which satisfy x^k = 1 mod n

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given that the smaller region R is bounded by the curves x2+y2-2ax=0 and x+y=2a is revolved about x=...

Q: y the Gaussian quadrature metho

A: Given as, ∫028x7dx, Tolerance= Nx10-5.

Q: Choose the statement that best describes this graph. O a) Same initial value, different rates of cha...

A: We know that the value of the line at x=0 is called the initial value. Since the value of the two li...

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: Evaluate the moment Mx and My of the region bounded by x + 2y = 6, x = 0 and y = 0.

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Q: Vx - 2 dx 5 x + 1)

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Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

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Q: 4. (AB)-1 = A-B-1 5. Suppose AB AC and A is invertible. Then B = C. %3D 6. If A is an invertible n x...

A: 13. True The dimension of the solution space of AX=0 is the dimension of the null space of A.  

Q: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the hypote...

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Q: Consider the series In(k) k2 a) Enter an integral whose convergence or divergence is equivalent to t...

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Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y = 4...

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Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 x2 + x3 = -1 . (x1 – 2x2...

A: a) The given system is  x1-x2-x3=5x2+x3=-1x1-2x2-x3=2 Change it into the form AX=B. 1-1-10111-2-1x1x...

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.