1. Let f(x,y) = 819.11 IIY x+y+1 Find:

Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

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Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: Sketch the region enclosed by the curves x = sin 3y and x = y, and compute its area as an integral.…

A: We have to find the area between the curves.

Q: 43. Vertices: (0, 12), (0, −12); Asymptotes: y = ±x

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: Consider the region R from the figure shown ,it includes the curves: R B) -√2 The double integrals…

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Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

Q: Solve the D.E ý - y = x لم

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Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: What is the gradient of a line that has an angle of inclination of 55°? Enter your answer, rounded…

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Q: f(x) (a) Evaluate lim X-B (b) Evaluate lim f(x) X-8 (c) Write down the equation (s) of asymptotes…

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Q: Find the area between the loops of the limacon r = Area = 5(1 + 2 cos 0).

A: We have to find the area between the loops.

Q: Which of the following is true about the graph of f(x) = 3/(x+1)? a. It is continuous on (-6,-1]…

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Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: Differentiate using delta method y=6x2-24

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +9 1 = lim t→+∞ (?, ?) 7t² + 8' 4t,

A: Given problem:-

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, S(0) =…

A: In this question we have to find the value of s(t).

Q: Find a vector parametrization of the ellipse centered at the origin in the xy-plane that has major…

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Q: Find the area of the region enclosed by the parametric equation x = t³ - 7t y = 6t²

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Q: Sav Find the work done by F=xy³i+ 4x²y2j in moving a particle once counterclockwise around the curve…

A: Given

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

Q: a) Find the distance between two skew lines L1 and L2 such that L1: 1+ 4t, y=5-4t, z=-1+5t  L2:…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: X + y = 3лab2 У Злаb2 у X find y" in complete solution

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: HOW JIAY 13. SHOW ALL WORK () esantieroos eltigastsy et (0) tenib Find all solutions to the…

A: Please see the answer below.

Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

Q: ||r' (t) × r"(t)|| ||r' (t)||³ Use the formula k(t) = r(t) = e³ti + e-tj k(t) 12 (9 e¹ t + e−¹ t) ·…

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Q: Homework 11 Parametric: Problem 3 Suppose a curve is traced by the parametric equations as t runs…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(41³i+ (4t³i + 14tj - 6√tk)…

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Q: What interest rate would be necessary for $9,400 investment to grow to $13,200 in an account…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³ + 146) (4t³i + 14tj -…

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Q: Monique sells disposable protective face masks made of local textiles for P 12.00 each. Define a…

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Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

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Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

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Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯³ (xi+yj), с and C: r(t) = et sin ti + et…

A: F.dr is integrated along the curve C.

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [ (v - x) dx +…

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Q: Find all solutions to the equation. csc 0-√2=0 Write your answer in radians in terms of , and use…

A: As we know that; The general solution of the trigonometric equation sinθ=sinα is; θ=kπ+-1kα,  where…

Q: y is independent of A. Given y e sin x. Evaluate at the point x = 0. answer. y = -x (cos(xx+b) d'y…

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Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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Q: Find all solutions of the equation in the interval [0, 27). 2cos’x– cosx−1=0 Write your answer in…

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Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

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Q: d. (4230°)-(222259) (2/140°) (3/300°) (Express your answer in polar form)

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Q: 01) Solve the differential equation with the given initial condition: y' - 6x²y + 4xy = y. where…

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