Given P(5, -6 deg, -37) in cylindrical coordinate system, what is r in spherical coordinates of P? (Compute up to 4 decimal places)

Q: Solve the DE. (Homogeneous DE) 1. (x-2y)dx + (2x+y)dy = 0

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Q: (a) How is the number e defined? e is the number such that lim h→ ∞ lim h→0 e is the number such…

A: We can solve the above question as per given method.

Q: The function f(x)=√5-x is continuous at (-∞, 5]. True False

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Q: Which of the following integral can be used to find the volume of a solid on the first octant…

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Q: e the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Use C for the…

A: This is a problem related to integration. Please follow the procedure given below.

Q: graphing calculator is recommended. (a) Graph the functions f(x) = 0.94 x1.1 and g(x) = Viewing…

A: This is a problem related to integration. Please follow the procedure given below.

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -3 and g'(6) = 2.…

A: Equation of tangent to the graph y=g(x) at x=a is given byy-g(a)=g'(a)×(x-a)

Q: Question 15 The graph of fis shown in the figure. Sketch a graph of the derivative of f A B 2 k…

A: The graph of f is shown in the figure.  To sketch a graph of the derivative of f.

Q: Please answer

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Q: Find the linearization at x = a. y = (14 + x)-¹/2, a = 3 (Use symbolic notation and fractions where…

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Q: Based on the graph, the function is discontinuous at — - (List the values from the smallest to the…

A: A function is said to be discontinuous at all those points where there is a break in its graph.

Q: Integrate the given function. 4 √x 1 √x √√x -dx dx = 1 √√x (Do not round until the final answer.…

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Q: Find the derivative of the function.

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Q: Given dy dx True False =e 4x + 5y . The solution is 5e 4x -5y = C. +4e

A: Solving the following problem

Q: A. Find the derivative of the function: f(x) = x4Ln (5x) B. Find the intervals where f(x) is…

A: Given function:- fx=x4ln5x

Q: The cost in dollars to produce x items of certain product is given by C(x)=(1,000-800(1.3)-x)0.5…

A: Concept: The term "marginal cost" refers to the total expenses incurred in manufacturing an…

Q: Question 13 The resistance of a certain type of resistor is R = √0.0037-57+600 where is measured in…

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Q: cz, find ди Әх at x = 1

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Q: Determine the LU decomposition of the matrix a = 6 12 24 2 11 29 using Crout's method. 4 10 24

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Q: Find all relative extrema of the function f(x)=4x*— 32x³ + 3. Use the Second Derivative Test where…

A: To find all relative extrema of the function fx=4x4-32x3+3.

Q: 1. Find and classify (as stable, unstable, or semi-stable) the equilibrium points of(y-2)(25-²).

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Q: The following graph shows the weight measurements of the average infant from the time of birth (t =…

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Q: 11. The directional derivative of f(x, y) = x³e-2y in the direction of the greatest increase of fat…

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Q: The function f(x) = True False x²-9 3x²+2x-8 4 is discontinuous at X=-= 3

A: We will use the basic definition of limit to show wether the function is continuous or not at the…

Q: (b) π/4 (sin(x) = cos(x)) (sin(x) + cos(x)) dx

A: M=∫0π4(sinx-cosx)(sinx+cosx)5dx ∫xndx=xn+1n+1+cd dx(sinx)=cosxd dx(cosx)=-sinx

Q: Find the tangent plane to the equation z = 2 = -4x² - y² - 2y at the point (-1,0,−4)

A: given  z=-4x2-y2-2ypoint is (-1,0,-4)equation of tangent plane is…

Q: Find the points on the curve y = 2x³ + 3x² - 12x + 6 where the tangent line is horizontal. x)…

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Q: Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Here is your solution

Q: Find all critical numbers of the function f(x) = sin77x + cos7x, 0<x < 품. 5 T ⓐ 플. 7 28 IT 4 ⑥ C 4π…

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Q: 3. √ √ 9. 13 dr ²+6x +34 dz

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Q: A primary school has 9 students, and we'd like to award 4 prizes to 4 different students. Each…

A: We have to slove above questions

Q: dz 22 z²+4z S

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 14/12 + 121 12 9 X lim…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3-√x lim x→9 9x - x²

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Q: x² + y² ds

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Q: 4. x² + 2xy = y² + 2² = 7, Po(1,-1, 3) -

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Q: The least squares fit line for the points (2, 3.6), (1, 1.8), and (3, 5.1) has form y = mx + b.…

A: Given points:- 2,3.6,1,1.8,3,5.1

Q: ∞ dx x²+12

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Q: Evaluate the given definite integral. - 1 3 | 2x (6-x²) ³dx -2 - √ 2x (6-x²) ³ dx = (Type an intege…

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Q: Use the trapezoidal rule with n = 10 to approximate the following integral. *20 7 cos(4πx) dx…

A: Given integral is ∫0207cos(4πx)dx

Q: The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 124…

A: We can solve it by following method Note: v ≈ x In step 1: using( -z table)  In step 2 : using( + z…

Q: (b) ») [es0 cos (1³0) de (e39 ← Hint: Rewrite e60 e³0 e30

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Q: 5. What is the change in surface area with respect to time at t = 4s? Given that 12t^5 cm^3/s

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Q: Integrate the given function. √ 30 dx 3+4x dx 3+4x 11

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Q: se the chain and product rules to prove the quotient rule. In other words, show that dy ƒ'(x)g(x)…

A: We will find the required.

Q: The course for a boat race starts at point A and Proceeds in the direction S 50° W to point B, then…

A: Question -   The course for a boat race starts at point A and Proceeds in the direction S 50° W to…

Q: Integrate the given function. 1 √y -dy 1₁-0 4 eVy -dy √y (Do not round until the final answer. Then…

A: let O=∫14eyydydyndy=nyn-1d dy(y)=12y∫eydy=ey+c

Q: Compute the surface area of revolution about the x-axis over the interval [0, л] for y = 8 sin(x).…

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Q: (3x+4)² √x dx

A: By the answering guidelines of Bartleby, We can answer only first question from multiple questions,…

Q: . Consider the function f: [1,4] → R defined by f(x) = x - √√x. A. What is the value of the signed…

A: Given: The given function is f:1, 4→ℝ defined by fx=x-x To find:  Find the value of the signed area…