What is the distance between the point (-2, 5, 3) and the z-axis?

Q: In Exercises 1-12, sketch the graph described by the following cylin- drical coordinates in…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

A: Given problem:- Find the volume of the solid of revolution formed by revolving the region bounded by…

Q: 4. Which of the following functions are divisible by (x - 4)? Show all your work. 3 a. f(x) = = X 2…

A: 4) a) f(x)=x3-3x2-7x+12 b) g(x)=x4+2x3-4x2+10x-24 c) h(x)=-2x3+19x2-52x+32. Repost the 3 question.

Q: 1. Integrate: a. (2x²+3)¹/²+c b. (2x²+3)² +c c.(2x²+3)³/²+c d. 2(3x²+2)¹/2+c

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Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

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Q: f(x) = { cos x, xpi  which lim does not exist

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Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: ¹(7x) = 5 for the four smallest positive solutions 4 Solve 6 sin x = 1.25,2.75,71.87,458.37 Give…

A: Given, 6 sinπ4x=5

Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

Q: Evaluate 2T 3 ["* cos³² (w) sin³ (w) du dw. π

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Q: The answer is in the wrong format, but even still 0.18 is incorrect. Please provide the actual…

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Q: Consider the following. U = 7i + 6j, v = 2i + 4j (a) Find the projection of u onto v. (b) Find the…

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Q: Determine the partial fraction decomposition for the following expression 7x²-17x +38 (x+6) (x − 1)²

A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

Q: Learning Task 2. A. Solve the systems of equations by a) graphing b) elimination el substitution Eq.…

A: We have to solve the given linear equations.     According to our guidelines we can solve only one…

Q: The graph of the second derivative f"(x) is given below. On what interval(s) is the function f(x)…

A: NOTE: Refresh your page if you can't see any equations. . the function is concave up when  as we…

Q: Determine the area of the region bounded by x = y² + 1, x = 5, y = −3 and y = 3.

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Q: Given the initial value problem 2 y y' + = 0, y(0) = 28, y'(0) = b, 5 25 Find the solution as a…

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Q: Solve the problem. How long will it take for prices in the economy to double at a 12% annual…

A: NOTE: Refresh your page if you can't see any equations. . the given annual rate is r=12%=0.12 the…

Q: Question 4 Solve the rational inequality 2x²-8x+15 xâ45241 ≤0, using a factor table.

A: Given :2x2-8x+15x2+5x+4≤0

Q: Express the number 3√3 - 6i in the form R(cos(0) + i sin(0)) = Re¹0, where R> 0 and -T≤ 0 ≤ T. NOTE:…

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Q: Current Attempt in Progress Find f'(x). f(x) = (10x + 7) (1 -√√x) f'(x) = 70(10x + 7) (1 – √√x)6.…

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Q: 42 1. Calculate the Laplace transform of f(t) = 1. 2. Calculate the Laplace transform of f(t) =…

A: Let's find laplace transform.

Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: To find out the solution using undetermined coefficients.

Q: Convert the point (x, y, z) = (4, 4, 3) to cylindrical coordinates. Give answers either as…

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Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [(323√/7³-√3/3/3) dx 32x5

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Q: Consider the function f(t) = 18√√t over the interval -8 < t ≤ 8.

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at a given point in a unit direction.

Q: Solve the following CDES by variation of parameters method: y" + 5y' + 4y = x² e ²x Ans:…

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Q: Determine a vector equation of the line passing through (6, 0, 3) and parallel to the line of…

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Q: Current Attempt in Progress Let 0-1 Find the following limits. Type NA in case the limit is…

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Q: A tree grows at an angle of 3° from the vertical due to prevailing winds. At a point d = 43 meters…

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Q: Rewrite the expression as a single logarithm. In 6-In 5

A: This question can be solved using the concept of logarithm.

Q: CHECKPOINT 3.14 √ √ Rewrite the integral evaluate the integral). x³ √25x² dx using the appropriate…

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Q: Find the area of the triangle. Round your answer to one decimal place. B = 111°,    C = 29°,    a =…

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Q: Question 1 ť 2,0 5 -12 Use the graph of f(x), shown here, to determine the limits, when they exist.…

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Q: Determine the amplitude of f(x)=sin(4x)

A: I have appended the formula used in the solution of the question.

Q: You want to buy a triangular lot measuring 1360 feet by 1880 feet by 2430 feet. The price of the…

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Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

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Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

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Q: 7πT 6' expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0,…

A: x=ρ.sinϕ.cosθy=ρ.sinϕ.sinθz=ρ.cosϕ

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y"" -…

A: Here, the given DE is: y'''-16y'=te-4t+5cos(4t) So, the auxiliary equation is:…

Q: Find the critical point. f(x)= 3ex - 12e-2x (Use symbolic notation and fractions where needed. Give…

A: topic - critical points of a function and local extremas

Q: 2 Solve the following ODES by Inverse Operator metha ● 2 (D²+1) y = cos x Ans & Y = C₁ C3 x + C₂…

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Q: Consider the following linear differential equation x dy/dx + 2y = sin(x). a) Calculate the…

A: The objective of the question is determine the I.F. and solution of the differential equation.

Q: -8 निर्मा -6 -5 -4 9 -1 -1 -2 2

A: The solution is given in step2

Q: Convert the point (x, y, z) = (-4, 1, 2) to spherical coordinates. Give answers as positive values…

A: Given ' (x, y, z) =(-4,1,2).