A dice is thrown What is the probability of getting 1- Get number 1 2- Get the number 4 3- Get an even number 4- Get an odd number 5- Getting a number smaller than 3 6- Getting a number greater than 6 7- Get a number greater than 3 8- Getting a number smaller than 7

Q: 0. Find the area of the triangle with the given side lengths. Round your answer to one decimal place...

A: Given graph :- Find the area of the triangle with the given side lengths. Round your answer to one d...

Q: Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = -1.

A: This question is based on solution of Homogeneous differential equation.

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: We have to solve given Integral by reversing the order of integration.

Q: Evaluate the following integral (please write it out, instead of tying if possible)

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Q: A function f(æ) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

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Q: Convert the angle to D°M'S" form. 44.27° 44.27° ='O'0"

A: The angle is 44.27°  

Q: (2x-y + 2) dy + (x-2y+4) dx =o

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Q: Find the solution to the quadratic equation. (a) a - 4x + 1 = 0 (complete the square) (b) (3x – 1)2 ...

A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1  

Q: -3x 4, Suppse that f (x,4)= e Suppse thet f (x,u)= e * Bgt te++q thun find the discrioninant of f D=...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

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Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: 4. For the function z = e cos(y) find the equation of a. The tangent plane to the given surface at p...

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Q: Explain why the integral ex*dx is convergent.

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Q: Solve using method of undetermined coefficients (D²- 2D+2)y 24 e s in 3X %3D

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Q: -4 -3 -2 -1 4 2.

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: The equation of the line is y = 2x and the terminal side of the angle lies in quadrant III

Q: y + Jx? +yz dx = xdy when x-13', y=I when x=J3, y=| 4.

A: Homogeneous differential equation : A differential equation of the form f(x,y) dy = g(x,y) dx is sai...

Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

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Q: 20/(1+e(-.25)(t-10)) At what two points is the population growing the slowest?

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Q: Solve for differential equations show complete and clear solution without shortcut thank you

A: x2-1dy=x2+1-2ydx

Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: Please do number 9

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Q: 66. Find the volume obtained by rotating the region enclosed by y = In x and y = (In x)² about the y...

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Q: Electric charge is distributed over the rectangle D= {(x, y): 14 <I< 17, 12 < y < 15}. Assume that t...

A: We have to find the total charge on D

Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

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Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: Solve the differential equation: (2x-y+2) dy + (x-2y+4) dx =0  Please also state which or the follow...

A:

Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

Q: 2. 49

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Q: E Homework: Homework 5.6 Question 1, 5.6.1 Part 1 of 4 In 2012, the population of a city was 5.68 mi...

A:

Q: edu/courses/49369/assignments/325601 ations).pdf 3. f(x) = 2x2 - 10x - 5 %3D

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Q: Use any method to determine whether the series converge. (a) k=1 The series 1 (b) 9k + 1 The series

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Q: of Find the degree, leading coefficients, and the maximum polynomial. f(x) = 1 - a° + 2a° + 48 Degre...

A: Topic  = Polynomial

Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

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Q: Explain why the integral ex* dx is convergent.

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Q: siny dx + (x – sin? y)dy=0

A: We have to solve the differential equation sin y dx + x-sin2y dy = 0   We know that ∫cosec x dx = ln...

Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

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Q: Find f'(x) from first principles, given f(x) is: a) x b) 1 c) -x^2 d) 2x^3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

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Q: Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence conve...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: - 2x – 20 A B x2 + 10x + 24 r + 4 x + 6

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Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D. (...

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Q: (カナ) 2.

A: