Convert the point (x,y,z)=(3,1,-3) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place.

Q: Use the graph to find the indicated limits. Step 2 of 3: Find lim f(x). x-3+ -5 101 Bold 5 -5 -10 -O…

A: A graph of the function is given.The objective is to find the .

Q: A basketball player shoots a free throw, where the position of the ball is modeled by x = (24cos…

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Q: Find lim g(x) if g(x)=- x→4 [5√√x T if x #4 if x = 4

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Q: If z = x² - xy + 6y² and (x, y) changes from (2, -1) to (2.04, -1.05), compare the values of Az and…

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Q: Consider the function f: N→ N given recursively by f(0) = 1 and f(n + 1) = 5. f(n). Find f(19).

A: f(0)=1, f(n+1)=5.f(n)Find f(19).

Q: Please do the last two parts.

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: By using the reduction of order formula to find the second solution .;

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 sin(x) + 9 cos(x),…

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Q: Evaluate the integral. /2 6.²¹²: 3 sin²(x) cos²(x) dx

A: We are required to:

Q: Suppose that f(1) = 4, f(4) = 5, f'(1) = 4, f'(4) = 4, and f" is continuous. Find the value of…

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Q: Draw, to the best of your ability, the graph that represents the following: Draw a graph that is the…

A: We have to draw, to the best of your ability, the graph that represents the following: Draw a graph…

Q: Evaluate r(u, v) [₂√₁ 1 + x² + y²dS, where S is the helicoid with vector equation 0≤u ≤ 2, 0≤v≤ T =…

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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Q: 8. Use the 3rd degree Taylor polynomial centered at x = 0 for f(x) = e to estimate e and determine…

A: The Taylor series around x=a for function f(x) is given as

Q: Find the slope of the graph of the function g(x) = he slope of the graph of the function g(x)= ype…

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Q: Parametrize the line segment from P(-3,2,-3) to Q(1,-1,-

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Q: Suppose that profits on the sale of swimming suits in a department store are given approximately by…

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Q: 3. What is the set of removable discontinuities of the function? cos²0 sin²0 tan²0 j(0) =

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Q: TC 1. When verifying the identity cot²x + 1 = csc²x for x = 3' of the identity, to the nearest…

A: When verifying the identity  at , to find the value of the identity to the nearest tenth.

Q: Evaluate the following derivative without using the quotient rule. P 2y+1 5 (y²-3) 4

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. X…

A: The function is The points are  and

Q: For the function f(x) whose graph is shown to the right, find/compute... (a) (b) lim ƒ(x) x→2 lim…

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Q: Given the vectors a = (3,3,-3) and b = (1,−1,2), find: proj_b the angle between a and b (nearest…

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Q: Find the third Taylor polynomial for the function, centered at c. f(x) = - 1 3' X C = 1

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Q: Confirm that the Integral Test can be applied to the series. n=1 16n 8n² + 1 2

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Q: 8. A cylindrical can, open at the top, is to hold 700 cm³ of liquid. Find the height, h, and the…

A: Since you have asked multiple questions in a single request we would be answering only the  eighth…

Q: 29: Area enclosed by y² = 5x, y2 = 0 and y-axis is?

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Q: Evaluate the surface integral. Jy d y ds, S is the helicoid with vector equation r(u, v) = (u…

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Q: 3. Use L'Hospital's rule to find the limit. (a) lim 818 2-3 ex² (b) lim t-0 102t t

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Q: Set up an integral for both orders of integration, and use the more convenient order to evaluate the…

A: We have to setup an integral and evaluate this integral below over the region R.…

Q: Given that Q(x) = (x − 2)(x² + 1)²(x² − 4)¹, Q(x) has: (a) x-1 (b) X-1 (C) X^2-4 (d) x^2-4 single…

A: Given:We are required to find:

Q: 1. Evaluate the definite integrals. e-x/2 dx (a) [e- (b) 6₁ 1472 de f 4

A: To evaluate the following definite integral.(a) (b)

Q: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight…

A: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the equation of the tangent line to the graph of the function f(x) = -9x¹/3 +5 at x = 27. Give…

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Q: Find of 4 sin 2y cos x=2 dx a=tan(2y) tan x b.=tan(y) tan x c. =tan(2y) tan x dx

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Q: 6. A closed rectangular container with a square base is to have a volume of 3456 in³. The material…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: HERE KEPINTE 0, 0. 0 PANE JOUL PRE INFERRENTE SAULEI CAN 2000.00 MADELELEZI ELIOTOTDIENT INTENAN…

A: we have given integration

Q: Determine the type of discontinuity: -2 0 Select one: O a. Point discontinuity O b. No…

A: A graph of the function is given.To find the type of discontinuity of the function.

Q: What would be the units for (c)?

A: unit of volume = unit of time = sec

Q: 2. A conical water tower with vertex down has a radius of 14 ft at the top and is 18 ft high. If…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Given the demand equation x = 135e-p/46, where p represents the price in dollars and x the number of…

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Q: Determine whether the series is convergent or divergent. Ž 8n 5n+1

A: The given series is .To determine whether the series converges or diverges.

Q: 1. Evaluate the definite integrals. • Le 0 (a) (b) e-x/2 dx 1 L₁₁42 dr dx 1 + x²

A: The given integrals are;a) e-x/2, limit from 0 to 4b) 4/(1+x2), limit from 0 to 1.

Q: 2. Identify the values of x on the graph where the derivative is undefined. Explain why in each…

A: We will use concept of discontinuity to find the solution.

Q: Find the curvature of r(t) = (3t, t², (3t, t², K = t³) t³) at the point (3, 1, 1).

A: We are required to:

Q: Find the least element of each of the following sets, if there is one. If there is no least element,…

A: As per our company guidelines we are supposed to solve first three subparts of a question so repost…

Q: Matrix digesting enzymes are sometimes produced by cancer cells to digest the tissue surrounding the…

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Q: It is estimated that thours after a certain type of heterotrophic bacteria are introduced into a…

A: The population will be increasing at a rate of  bacteria per hour

Q: Homework problem 12 дz Use the chain rule to find əs дz Əs дz at 11 Z = sin (0) r and дz at r = st,…

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