-1 Find the exact value of sin 2 sin sin (2 sin -1 2-0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Q: Find the area of the region enclosed by one loop of the curve. r = cos 48

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Q: A region bounded by f(y) = y², y = 2, and x = 0 is shown below. Find the volume of the solid formed…

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Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: Evaluate the following integrals JJ (5. (5x³y²-y²) dA_R = {(x, y)| 0 ≤ x ≤ 2, 1 ≤ y ≤ 4} R 11.

A: Solve the following

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: A dynamic system is represented by the following differential equation. y" - y' - 2 sin y = u(t),…

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Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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Q: 8. Evaluate the line integral fx'dx + xe 'dy where C is the closed path along the triangle in the…

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Q: 25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres,…

A: Given: a partical P is moving along a straight line. at time t sec, t>=0 the displacement x…

Q: Summarize the Fundamental Theorem of Calculus (FTC), Part II using your own words

A: We  have to write the meaning of fundamental theorem of calculus.

Q: did

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Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: Find a power series representation for the function, and find I, the interval of convergence.. 8 9-x…

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Q: A region bounded by f(y) = y, y = 8, and x = 1 is shown below. Find the volume of the solid formed…

A: Given, f(y)=y3, y=8, x=1

Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

Q: Determine the value of each of the constants, A, B & C 4x²23x + 21 S x² - 4x + 3 Option 1: Option 2:…

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Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit. 4x²…

A: The given limit is limx→∞4x25+49x2

Q: 7. Compute the gradient of the following function f(x, y, z)= e-2z sin(2y) cos(2y);

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Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

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Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

Q: Find the derivative of the transcendental function. 6e* y' =

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Q: Q3:a\ -7)(x) = g(x) f(x)' If f(x) = 1, g(x) = 1 + √x. Find the domains of (1)(x) =

A: Topic:- function       Definition :-  The domain of a function is The set of input values where for…

Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: (3) What is the Definite Integral of a function f from a to b?

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

Q: Find a Cartesian equation for the curve described by the given polar equation. r = 9sin 8 Select the…

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Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

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Q: A population P, is increasing proportional to (400 - P), and P never gets larger than 400. At t = 0…

A: Solved below

Q: Consider the following. f(x) = tan(x), (-¹) (a) Find an equation of the tangent line to the graph of…

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Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

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Q: A region bounded by f(y) = √√√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: For items 11-25 consider g(x) as defined below. g(x) = 11. I. lim g(x) does not exist. 21-14 II. lim…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: a В b C A

A: Given:  a=9 and b=4 To find:

Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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Q: 21

A: Please see the below picture for detailed solution.

Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

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Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

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Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: 12. Which equation represents the image of y Oy= 1 x-4 Oy+4=1 1 Oy=274 x+4 Oy-4-1- 1 after a…

A: The objective of the question is determine the new function (equation) after translation upward.

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different…

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Q: olve the equation for exact solutions in the interval [0°, 360°). Use an algebraic method. (cote 1…

A: We have to find solution

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: x²-9 2 lim x 3 x 3

A: The given limit is limx→3x2-9x-3

Q: cm³ min A spherical snowball is melting at a rate of 8.1- How rapidly is the radius decreasing when…

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Q: Find the curvature of the curve r(t) =

A: This question can be solved by applying the formula for curvature.

Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…

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