Use the fundamental identities and simplify the expression sin² x (cot² x + 1) to get a numerical value. sin² x (cot² x + 1) =

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 1 (6405 #3 p. 320) Let R denote the region bounded by the curve y = the y-axis, the z-axis, x² +1…

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A: We need to find level surface.

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

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Q: 6 5 4 3 2 1 779799 -3 -4 2 3 4 5 6 7 8 10 1 The graph above shows the base of an object. Compute the…

A: Solution: The Graph is made with a cylinder and cone.

Q: 12) y = 2-X ; 3x+1 A) -7 (3x+)² B) dy = ? 6x-5 (3 XH)² (3x+1) DJ 3+2x

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Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

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Q: +x •1. K clear Given that sin = 0.72 find sin 20

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Q: (a) Use differentiation to find a power series representation for f(x) = f(x) = n = 0 What is the…

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Q: Given r= 1 and r = √2 cos 0 Find all the intersection points of the following curves.

A: Given           r=1    ..........(1)           r=2 cos θ  ..........(2)   Equating equations (1) and…

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Q: 4. A line segment L passing through the point (1, 1) has its endpoints lying on the x-axis and…

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Q: A new car lists for $18,600 and depreciates by 25% per year. Find its value after the following…

A: NOTE: Refresh your page if you can't see any equations. . the initial value of the car is a=18600…

Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Use Newton's method to approximate a solution of the equation x³ + x + 6 = 0. 1 be the initial…

A: Given, x3+x+6=0

Q: Convert the Cartesian coordinate (-1,-5) to polar coordinates, 0≤ 0 < 2π

A: Given,            The cartesian coordinate is -1,-5.To find : Convert the given cartesian coordinate…

Q: Find a plane containing the point (2,5,-5) and the line Question Help: Video Submit Question Jump to…

A: Please see the below picture for detailed solution.

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

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

Q: Suppose f(x, y) = 5y - 9x Find an equation for the level curve of f that passes through the point…

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Q: Evaluate the integrals: a) fxe-² dx. хе 2 b) ſ² sin πtdt. -3

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Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

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Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: Evaluate Answer: 6 Soº da √196+x²

A: We know, ∫dxa2+x2=sinh-1xa

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Q: Given that = 1/3/₁ x² dx = • √² (7 - 9x²) dx. use this fact and the properties of definite integrals…

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Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution of the following differential equation.D2-2D+2y=-8 cos 3x+24…

Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: Particle P moves along the y-axis so that its position at time t is given by y(t) 4t²5t+ 7 for all…

A: Position of particle p  is given as y(t)=4t2-5t+7  and position of particle Q  is given as…

Q: Determine the area of the region bounded by y = (x-4)e5x² - 40x and y = 0 on the interval [0,8].…

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Q: ketch the curve of the parametric equations. x = 3 + 8t, y = 3 - 4t Write the corresponding…

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Q: f(x, y) = 3 sin(7xy) and g(x, y, z) = √121 – x² - y² – z². Find the following function values

A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function.…

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Q: Use the ratio test to find the radius of convergence of the power series R= ✓ (If the radius is…

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