Convert the point from cylindrical coordinates to spherical coordinates. (6, 7, 8) (р, в, ф) -

Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: p3n+1 h(r) Σ-1)" , (п +1) 4m' n=0

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Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: Right triangle ABC has a hypotenuse BC that maintains a length of exactly 15 yards. If the leg AC is…

A: For finding the rate of change of angle  we will use some trigonometric functions like…

Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: e Newton's method to approximate a root of the equation 5x+ 7x +3 = 0 as follo 1 = -1 be the initial…

A: answer is in next step

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: Determine the inverse Laplace transform of the given function 25 L-1 [s²(s² + 4s + 5)]

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Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

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Q: Find the average value gave of the function g on the given interval. g(x) = 3x, [8, 64] gave =…

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Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

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Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

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Q: Describe the graph of the equation. r = -6i + (1 – ²)j+ t k O It is a parabola in the plane z = -6,…

A: Let's find.

Q: Consider the parametric curve given below. = 2t3 - 15t2 +36t y = 2t3 + 18t2 + 48t

A: Tangent is horizontal at the where slope is zero ie.  dydx=0

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

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Q: Calculate the first five derivatives of f(x) = – sin(x). Then determine f(8) and f(9). (Use symbolic…

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Q: Evaluate: S Vx(x - 5)dx

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Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

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Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: Find area between f(x) and the x-axis on the domain 1<x<infinity.  show work including proper limit…

A: Given query is to find the area.

Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: Evaluate the definite integral. e14t i + e¬1j +t k )dt O el4 (e-- – 1) j + k i+ 14 (el4 – 1) i- (e -…

A: Evaluate the definite integral

Q: 2 2 3/2\2 x' + -14 - %3D 2

A: Given query is to write the equation in standard form.

Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: [3 Compute the matrix exponential e4t for the diagonal matrix A =

A: Given,  A=3004

Q: Let a=2, b=50, c=1, d=8 and e=15 is given by the following function:

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine equation of the line in vector form, parametric form, symmetric form and scalar equation…

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

Q: (c) 5 In(3 – x) = 4

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Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: which of the following option(s) contain only values of x for which the power series converges? Mark…

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Q: Integrals

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: e consider the non-homogeneous problem y" +4y =-32(3x + 2) First we consider the homogeneous problem…

A: We need to solve IVP.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A Triangular number counts the objects that form an equilateral triangle. The nth triangular number…

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Q: Admission to a baseball game is $3.00 for general admission amd $4.50 for reserved seats. The…

A: Let, x be the number of general admission tickets.  y(=1357-x) be the number of reserved tickets.

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

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Q: Describe the graph of the equation. r = -6i+ (1 – 1? )j + t k O It is a parabola in the plane z =…

A: Given problem:- Describe the graph of the equation.   r = - 6i + (1 - t2) j + tk

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r'(t)||³ r(t) : = 11 cos(3t)i +11 sin(3t)j +…

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