Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos v du – 0

Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

Q: 1. State the equation(s) of all horizontal, vertical, and slant asymptotes (if any) for each of the…

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Q: The graph shown is f(x) = x³ + 2. 5 4 3-21 1 2 3 4 5 What is the integral function that defines the…

A: The answer is in step 2.

Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

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Q: a) Find the degree 3 Taylor polynomial T3 (2) for the function f(x) = 4 cos(r) centered at the point…

A: The function f(x)=4cos(x) centered at the point a=π4

Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: 3dt 1. J (2r+8) fr+1 Suv-2+1 ¢v 25x -9 dx 3. 4. V40-4v-v dv

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Q: 3dt 2t+8) Jt +1

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Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form…

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Q: Q.5. A. U. Simpson's 1/3 rule to find the following integration: 7 300 O,dx) by dividing it to four…

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Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: T/6 Evaluate 12(cos* 0 – sin* 0)d0

A: In order to solve this we need to split the terms accordingly.

Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

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Q: For 4. Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A: see below the answer and explanation

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

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Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Find the fourth degree Taylor polynomial, T (2), for f(z) at 4. f(x) = 5 In(r - 3) – 4 a) Find the…

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Q: TRUE OR FALSE 1. ∫(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C 2. ∫6x2e2x^3+1 dx = 3e2x^3+1 + C 3.…

A: We have to find the solution

Q: dy = (Type an integer or a simplified fraction.)

A: Topic:- double integration

Q: Solve the differential equation. (x² + 15)y' = xy

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Q: 2xydx+(x^2)dy=0

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Q: 4. (Straightforward) Determine if each of these differential equations is exact, and if so, solve…

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Q: 25x² -9 3. dx

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. J (21+8)…

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Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Given f''(x)=9x+0 and f'(0)=−3 and f(0)=4.   Find f'(x)=     and find

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Q: Constraint:

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: Idx/(1-2x) = 1/2 In]1 -2x + C Select one: O True O False

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Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

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Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given: -8 17 cote = %3D

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Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: Consider the following. x = 4 sin(80), y = 4 cos(80), 0sos (a) Eliminate the parameter to find a…

A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

Q: (e2y – y) cos a = e" sin 2r, y(0) = 0

A: Solution is given below:

Q: Let S denote the cone x? + 4y? = z². (a) Find an equation for the plane tangent to S at the point…

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Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Find the MacLaurin series for the function f(x) = (1 + x)7. It is actually finite – it’s a…

A: Maclaurin series for f(x) is given byf(x)=f(0)+f'(0)x1!+f''(0)x22!+f'''(0)x33!+...f(x)=(1+x)7…

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

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Q: -8 17 ane = -15/8

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