Evaluate the double integralfor, f(r, e) dA. Sketch the region R. O π/6 8 O sin(0) cos(8) dr de -5 -5 π/2 10 5 -5 π/2 5 -5 5 5 O π/2 8 9 2 π/2 8 6 2 2 2 4 4 6 6 00 00 0

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Sketch the region R and evaluate the iterated integral [(x + y) dx dy y 3 y 5- 4 3- 2- 1- [[ [ f(x,…

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Q: Part 2 of 8 The equation x³y-x-9y=0 is in the form of ax² + bx+c = 0. The solution set for x is…

A: Let's solve given equation.

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Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

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A: Find roots of the equation and then go ahead

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A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

Q: part, and you will not be able to come back to the skipped part. Tutorial Exercise Solve the…

A: The given differential equation is;  y''+3y'+2y=1/(8+ex).

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Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy2 - x) dy = 0

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Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: Let f(x) = x²7x + 10 4x6 Find the following. If an aspect of the graph does not exist, write DNE 1)…

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Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

A: We need to find y'(x).

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A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

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A: We have to find the general solution of given DE by given family of function.

Q: 2) Evaluate √3|x + + 1| dx

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Q: Evaluate the iterated integral. ITT 4ze dy dx dz

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Q: Find the area bounded by the curve y=x^2 and the x-axis and the lines x=1 and x=3.

A: Given: y=x2, x=1, x=3, and x-axis or y=0. So, from the given curves the bounded region is as shown…

Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

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Q: Solve the given differential equation by undetermined coefficients. y" - y² + ²y = 2 + ex/2 y(x) =

A: The characteristic equation is            m2-m+14=0⇒4m2-4m+1=0⇒m=--4±02· 4⇒m=12,12 Now, the general…

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: Consider the figures below. (1) 2- 14 (2) 4- O Continually increase the height of all rectangles. O…

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Q: Find three positive numbers whose sum is 114 and whose product is a maximum.

A: follow the procedure given below.

Q: Identify the type of solution for the problem and solve for the general equation

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Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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Q: A rectangular box with no top is to be built from 1452 square meters of material. Find the…

A: We use the method of langrange multipliers to solve the given problem.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

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Q: Let f(x) 2x + 7 if x 1 9 if x = 1 Determine whether f(x) is continuous at x = 1. If f(x) is not…

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Q: Use the summation formulas to rewrite the expression without the summation notation. S(n): = 8i + 7…

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Q: Find all values of x and y such that Px(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x,y) = 5x²2 -…

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Q: Find the real roots of the equation B 244

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Q: se e differential equation x²y" - 6xy + 10y = 0; x², x³, (0, 00). the given functions form a…

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Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Integrate f Osin-15x+C ○ -sin-¹5x + C 1 dx 1-25x2 - 5 H|K sin ¹5x + C cos ¹5x + C

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

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A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Find the area between the curves. 1/5 6/5 y=x y = 4x¹ The area between the curves is (Do not round…

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Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

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Q: 6. Evaluate the following real integrals by residue theorem 3 T 211 I- -S do coso + 2 sing +3 ans o…

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