P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0 is revolved about the line y + 4 = 0.

Q: Let the vector v have an initial point at (5, −3) and a terminal point at (1, —8). Determine the…

A: Determine the components of vector V

Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

A:

Q: Determine the equation of the hyperbola with center (-1, −6), a focus at (−1, −16), and a co-vertex…

A:

Q: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

A:

Q: The trough in the figure below has width = 4 ft, length L = 10 ft and height h = 5 ft. (Click on the…

A: We need to find force and work.

Q: A ship leaves port at noon and travels at a bearing of 214°. The ship's average rate of speed is 15…

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  the given speed is…

Q: x+1 2-1 24 - 1 Evaluate the given limit of lim O-1 01/1 0 -¹ O Olimit does not exist if it exists.

A: Solved below...

Q: ib Show that the function defined by F(x, y) xy √² + y² O is not differentiable at point (0,0) if…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

A:

Q: y = x² and x² = y

A:

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

A:

Q: sector of a circle has a diameter of 18 ft and an angle of pi/2 radians. Find the area of the…

A: We have to find area

Q: Which of the following is not an identity? 1. sec² x-csc² x = sec² x csc² x II. sec² x+csc² x = sec²…

A: Note: ° sinx = 1cosecx° cosx = 1secx° tanx = sinxcosx° cotx = cosxsinx° sin2x + cos2x= 1

Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

A:

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

Q: Consider the function. f(x) = Identify the domain off. (Give your answer as an interval in the form…

A:

Q: On the coordinate plane below, sketch the position vector (0, 3). PENCIL THIN BLACK

A: solution:-sketch the position vector 0, 3

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

A:

Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 32) Find the amount of a continuous money flow in which $2000 per year is being invested at 5%,…

A: Given.

Q: min

A: Please refer to the image below

Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

A:

Q: Solve - cos2 - sin²x = 1 on the interval 0 < x < 2T. O 3π 2' 2 O no solution O 0, T O 0, T, 2T

A: The given equation,    -cos2x-sin2x=1 on the interval 0≤x≤2π

Q: Set up the integral to find the area of M, using vertical ectangle. Let M be the region bounded by…

A:

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

A:

Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

A:

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

A:

Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

A:

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

Q: Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

A:

Q: 3. Evaluate sin rdx

A: The given integral is: I=∫sin5xdx   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: (13+3^3)/4+4/2*6/12 020 011 030 ONone of the above

A: In this question, we will use order of operations.

Q: Fill in the blanks to describe the transformations that occur in the the graph from the Parent…

A:

Q: Determine the equation of the ellipse with center (-2,-4), a focus at (-2,5), and a co-vertex at…

A: Given:        center =-2,-4        focus =-2,5        co-vertex 10,-4 Equation of Ellipse is…

Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 4√ti…

A: To find the unit tangentvector Tt at the point with the given value of the parameter t.rt=4t i+3t2…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A:

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

A:

Q: a) Find the area of the region enclosed between the curve y = x² and the line y = 4x. b) Find the…

A: The objective is to find the area .

Q: Sketch the region bounded by the given line and curve. Then express the region's area as an iterated…

A: Topic = Area

Q: Ju udv = Uv -Ivdu to Explain why the substitutions below are inappropriate. Let du: = x dx 1.…

A: We can explain why the substitution is inappropriate in the following steps.