13. Evaluate the triple integral: In y (z) dzdydx y2

Q: Find the solution of each of the following differential equations: a) y'=ye² +2e¹, y(1) = 3 b) 2…

A: I am attaching image so that you understand each and every step.

Q: A particle has position function r(t) and velocity function v(t) = { 2e“, sin(−t), ln(t+1) ) (a)…

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

Q: Find the general solution of the given differential equation. dy 2 + 6y = 3 dx y(x) = Give the…

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Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: I am attaching image so that you understand each and every step.

Q: Q2A)Matrix A = 123 ,find Eigen values of A².

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Newton’s Law of Cooling Formula The greater the difference in temperature between the system and…

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

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Q: Differentiate the function. G(x) = (x³-8). G'(x)= 2 x + 25 x²-25

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

Q: dQ Use the Chain Rule to find where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z = cost. 7 dt ƏQ -…

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Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O O False

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: y=0 x=y ye dxdy=

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Q: Express as a sum or difference of logarithms without exponents. 5 4 X log c 4_7 y'z What is the…

A: log(a^n) =n(log(x))  log(a/b) =loga- logb log(ab) =loga +logb

Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

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Q: The triangle inequality is the most common algebraic tool for rigorously proving order…

A: Note:- As you want the answer of 4th statement so i am solving only it.

Q: Q4 Calculate the integral Se²y-2x (y + 2x)³ da Where R is the region formed by joining the vertices…

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: 6y²dx − x(2x³ + y)dy = 0.

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Q: LT of Heaviside Write the solution for f(t+5)e-stdt. LT of Dirac Evaluate 8(t-5)e-st dt

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Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: Let f(x, y) = x² - In (36-4x² - y²). Then the domain off can be represented by the blue region in…

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Q: The value of n when integrating the following function using Simpson's method is: [2²/ dx h = 0.2 >

A: solution is given below

Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: solve this problem using washer method and explain the process

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Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: Q5) Solvex + 2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h =…

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Q: 2. Use reduction formula to evaluate the integral: fsins x dx.

A: Reduction formula

Q: 12. What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

A: . What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

Q: Find the domain of the following vector-valued function. r(t) = sin 5ti + ²√² + ¹ k e

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Q: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: Consider the following. f(x) = { J-7x, X ≤ 4 1x² - 2x + 7, X > 4 Find the x-value at which f is not…

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Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: Q4A) Find area bounded by y = 0, y = √2x - x² using double integration.

A: Topic = Area

Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,1] with a…

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Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.012. MY NOTES ASK YOUR TEACHER In this problem, y = c₂ex + c₂e-x is…

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Q: 3 4 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

A: Above question is solved.

Q: 35

A: Please refer to the image below

Q: Find y' y= y" = 3x + 4 2x-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ 12x + 3y + 12.

A: Given :- z=x3 -y3 -12x+3y+12 Find:- Maximum, minimum and saddle point of the given surface

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: Q4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction.

A: Given

Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

A: Topic = Functions

Q: Q6/(A)Evalute √2² £2ª ex² dxdy.

A: You have asked multiple questions and not mentioned which question answer you need so according to…