Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the indicated order of integration. [TS²³² dz dy dx 25- 20- Z 15- 10- 5- dz dy dx = 2 Rewrite using the order dy dz dx. [TS² T. 10 y نا 25 20 15z 10 25 Z 20- 15 10- 5- -2 > y -25 -20 15z -10 -5 dy dz dx

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A: topic- Relative extrema of a function.

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Q: Evaluate the iterated integral by converting to polar coordinates. -x² IT (x² + y²) dy dx dr de-

A: We can evaluate the given iterated integral.

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A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

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Q: -4 -2 (a) x=¹t+3, y = 2² VX (b)x=²2t, y = √t 11 (c) x = ²³ - 2t, y = 2² - t ✓X III (d) x = cos(5t),…

A: Please see the below picture for detailed solution.

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: Find an equation for the graph above. M 3 2 1 -1 -2 h(w)

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Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

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Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

A: Find roots of the equation and then go ahead

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Q: 1) y" - 36y = 0.

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Q: Find the general indefinite integral. (Use C for the constant of integration. Remember to use…

A: simplify the expression and solve the integral

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A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

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A: Given: ∫0π4∫0cosθ3r2sinθdrdθ

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

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Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z + 12 =0 and 2x + 4y - 3z…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

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 ht C1 For the function f(x,y) = 4x² + 7y², find the following. a. b. f(x+h,y)-f(x,y) h…

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Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

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Q: Evaluate the iterated integral. 2y 1²1,²% (10 + 8x² + 6y²) dx d 0 ly

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Q: Evaluate the integral. 6 1 (x² - 1)3/2 2 (x²

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: Question 18 -6 -5 -4 -3 -2 -1 8+ (2) 7 65 4 32 My 1 -1 -2 -3 --4- ✓ to t 1 3 Find an equation for…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x