Express each decimal in expanded form and as a fraction. (a) 6.2 expanded form fraction (b) 0.25 expanded form fraction (c) 3.456 expanded form fraction (d) 1.02 expanded form fraction 31/5 25/100 432/125 51/50 X X

Q: diameter of each wheel of a bicycle is 27 inches.If you are traveling at a speed of 15 miles per…

A: Given query is to find the revolution of wheel per minute.

Q: Find the indicated derivative and simplify. 6x - 3 2 x + 7x y' for y=

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Q: 5. Find the points of inflection and discuss the concavity of the function (x)=-8x-2 cos x on the…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

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Q: Suppose that a colony of beetles grows exponentially with doubling time 5 years. How many years does…

A: Suppose that a colony of beetles grows exponentially with doubling times 5 years. How many years…

Q: Differentiate. Step 1 F(y) x) = (1/²2 - 11/2) (v + 8y²³) To find the derivative of the product F(y)…

A: The given data is:  Differentiate  Fy=1y2-4y4y+8y3

Q: Find the derivative. f(x) = 8√√2x² +7 f'(x) =

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Q: Use cylindrical coordinates. Evaluate x² dv, where E is the solid that lies within the cylinder x2 +…

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Q: 9 For the function f(x)=x, find f''(x), f''(0), f''(1), and f’’( − 1). f''(x) = Select the correct…

A: Derivative

Q: A street light is mounted at the top of a 15ft tall pole. A man 6ft tall walks away from the pole…

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Q: Suppose that 336 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Length of rectangle=x ft Width of rectangle=y ft Radius of semicircle r=x2ft

Q: Find the volume of the solid enclosed by the intersection of the sphere x² + y² + z² = 100 and the…

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Q: Let an and Σ n=1 n=1 Do NOT assume the series are positive (they may or may not be positive). Which…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line  to the curve at the given…

Q: The percent of concentration of a certain drug in the bloodstream x hours after the drug is…

A: Given function k( x ) = 3xx2 + 4

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: The given function is;  f(x)=-x3+15x2.

Q: Find the linearization L(x) of f (x) = In(1 + x) at a = 0. Use this linearization approximate…

A: Solving the following problem

Q: Identify the asymptotes. Give your answers in exact form. Do not round. -2x² + 4x-5 x+7 f(x) =…

A: First divide the numerator by denominator then rewrite the given equation again.

Q: Consider the following. f(x, y, z) = 9x z=1-x² ZA (a) Express the triple integral AL Jo y+z=2 (b)…

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Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…

A: Given  curve equation:- y=x-1x+1

Q: Q2: Prove that the following differential equation is exact, and find the general solution for it:…

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Q: Video Example Evaluate = √√√elt². Solution e(x² + y² + z²j3/2 where B is the ball: B = = {(x, y, z)…

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Q: 2. Locate the absolute extrema of the function g(x) = x² - 8x + 12 on the closed interval [0, 5].…

A: g(x)=x2-8x+12d dx(xn)=nxn-1d dx(constant)=0

Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: ) If g(x) = x³, then lim x-2 g(x) x - 2 - 12

A: Given query is to find statement is true or false.

Q: Average Life Span One reason for the increase in human life span over the years has been the…

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Q: Evaluate the definite integral S²₁(9ti +t³j+t¾ k)dt = [[ 0 ]i] ¹₁ + [[ 0 ] i] ¹₁ + [ 0 ]i] ¹₁ = 0

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Q: 34. [ 22+x (4x³ + 3x²)² dx

A: Given query is to find the integral.

Q: Evaluate the triple integral. Ex x dV, where E is bounded by the paraboloid x = 8y² + 8z² and the…

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Q: Find lim 1 2x217 a. x→ 0* 5 (x-6)2/7 b. x→ 0 as C. X→ 6* d. x→ 6

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Q: Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

A: Given query is to find the limit.

Q: Adidas is preparing to release a new line of soccer cleats. They expect the number of daily sales…

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Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

Q: Find a plane containing the point (-7,7,1) and the line of intersection of the planes - 3x - 3y + 6z…

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Q: Evaluate the indefinite integral. Answer = +C tan¹(42) de

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given: Mx,y,z=12x-y2+xz+240The radius of the spherical planet is 12 unit. Hence, x2 + y2 + z2 =…

Q: Let D be the region bounded by the graph of y = 1 - x4, the x-axis and the y-axis in the first…

A: The given data is: y=1-x4x=0y=0

Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y2 0 = =…

A: Given query is to find indicated angle.

Q: (a) What is the equation of the plane passing through the points (2,0,0), (0,1,0), and (0,0,2)? (b)…

A: Given that plane passing trough the points (2,0,0),(0,1,0) and (0,0,2)

Q: Evaluate Solution √²+z²dv, where E is the region bounded by the paraboloid y = x² + z² and the plane…

A: TOPIC:TRIPLE INTEGRAL

Q: The position function of a particle is given by r(t)=At what time is the speed minimum?

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Q: Please find the equation of the line if the given x and y intercepts respectively is -7/4, 3/2

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Q: Find the volume cut from the sphere p = 4 by the cone = 1.

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Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

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Q: Given that log(5) ≈ 0.6990 and log(2) ≈ 0.6990 and log(2) ≈ 0.3010, find the value of the logarithm.…

A: The given data is: log5≈0.6990log2≈0.3010  Find the value of the logarithm log52

Q: Convert the result to exponential form. The exponential form of log5 6 1.1133 is

A: We have to conver expression into exponential form.

Q: Find the acute angle (in degrees) between the planes 3x Question Help: Pl Video 3y + z = 2 and 5x 4z…

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Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

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Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: Use spherical coordinates to integrate f(x, y, z)= 4(x2+y2+z2 over the solid E above the cone z=…