Find the center-radius form of the equation of the circle described and graph it. center (0,2), radius 7 Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.) Graph the circle. Click to enlarge graph -10. Ау Q

Q: 2. Find the derivative of the following functions. Show all of your work. Do not skip straight to a…

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Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

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Q: Solve the given differential equation by undetermined coefficients. y". + 5y' + 4y = 12 y(x) =

A: We can solve the given problem by using the method of undetermined coefficients.

Q: Evaluate the surface integral [G(x,y,z) do using a parametric description of the surface.…

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Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=24.…

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Q: Integrate g(x,y,z)=x+y+z over the portion of the plane 2x+2y+z=2 that lies in the first octant.

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Q: Make a sign diagram for the derivative of the rational function. 16 x²+2x-3 ---Select--- ✓ relative…

A: The given rational function is

Q: 1. Find the critical number for the function on its stated domain. 3x (1+x)³ ³ f(x) = = x > 0

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Q: Let f(x)=2x²-4 and let g(x) = 5x + 4. Find (f + g)(5). (f+g)(5)= (Simplify your answer.)

A: Let f(x) = 2x2 - 4 and let g(x) = 5x + 4 Find (f + g)(5)

Q: z =tan(u/v), u = 3s + 7t, v = 7s - 3t

A: using chain rule

Q: Use the Maclaurin series sin x = S sint t Find the first three terms of the Maclaurin series of dt =…

A: The solution is shown in step-2

Q: Consider the following function and express the relationship between a small change in x and the…

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Q: 2√3+√7 Rationalize the numerator and simplify 5

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Q: The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their…

A: The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their…

Q: Solve the given differential equation by undetermined coefficients. y" - 6y' + 9y = 9x + 7 y(x) =

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Q: (b) For any continuous function f(x) such that f(1) number c in (1, 3) such that f'(c) = 0. = 0 and…

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Q: Consider the region R bounded by the line y = 47 - 9x and the parabola y = 27 — x². - To find the…

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

Q: State the average rate of change of the function f(x) = ax² (a is a constant) in the interval [3,…

A: To state the average rate of change of the function  ( is a constant)in the interval .Hence, to…

Q: Find a polynomial function f(x) of least degree having only real coefficients and zeros as given.…

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Q: 1 Let f(x)=√√4x-3 and g(x)= . Find (f+g)(x), (f- g)(x), (fg)(x), and (f+g)(x) = (f-g)(x) = (fg)(x) =…

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Q: Find the minimum and maximum values of the function f(x, y) = x² y + x + y subject to the constraint…

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Q: Given f(x, y, z)=√-4x + 5y - 5z, find fx(x, y, z): = fy(x, y, z) = fz(x, y, z) =

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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

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Q: n -1+n* converges. 1+² Use the limit comparison test to determine if n=1 Compare to n=1

A: The given series is

Q: The value of a timber forest after t years is V(t) = 490√t - 35t (for 0 ≤ t ≤ 50). Find when its…

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Q: Given the graph of y = f(x) in the figure, determine the following. y B VE G X ✔B VE G A ✓J (a) for…

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A: Figure

Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

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Q: A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study…

A: A veterinarian prepare a diet as follows,each serving should no larger than 8 oz.Must contain at…

Q: Sandra is a 25-year-old woman who weighs 120 lb. She burns 300 - 50t cal/hr while walking on her…

A: Given calories burn (300-50t) calories per hr.Calories intake 80t in t hr.

Q: If f(x) = 8x + e5x, use the formula (f¯¹)'(x) = (f¹) '(1) = [ 1 f'(F-¹(x)) - to find (f-¹) '(1).

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Q: For the function, f(x) = -2x + 1, complete parts a through c. a) f(x + h) = (Simplify your answer.)…

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Q: 4. Given the function f and point P, find a unit vector in the direction in which f increases most…

A: The solution is shown in step-2

Q: Q1.8 b If f* f (2) dx = [*9(2) de a True False g(x) dx = 5, then S* (f(x) + g( a (f(x) + g(x)) dx =…

A: (Given)"Note that as per the rules, we are supposed to answer the first question as these are the…

Q: Find the length of the curve. r(t) = (7t, 3 cos t, 3 sin t), -2 ≤ t ≤ 2

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Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 2 (2.98) (2.98)²…

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Q: Find all values x = a where the function is discontinuous. 6. f(x) = -3/(6x - 8)(8 - 2x)

A: A function is said to be discontinuous at a point where it is not defined.

Q: Use the derivative f' to determine the local minima and maxima of f and the intervals of increase…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.) y =…

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Q: Find the general solution of the given second-order diffe y" + 36y = 0 y(x) =

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Q: 10. You have 800 ft of fencing to make a pen for hogs. If you have a river on one side of your…

A: Here we are given that ; We have 800 ft of fencing to make a pen for hogs. Also, there is a river on…

Q: For the following polynomial function, use the remainder theorem and synthetic division to find…

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

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Q: Solve the given differential equation by undetermined coefficients. y" + 5y' + 4y = 12 y(x) =

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Q: Calculate the approximation for the given function and interval. R₂, f(x) = 7 — x, [3, 5]. Show all…

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Q: Find the critical points of f. Assume a is a constant. 1 13 12 = -√3x¹3 - a¹²x 13 f(x):

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Q: Solve the given differential equation by undetermined coefficients. y" - y'. +¹2y=7 y(x) = = 7+ex/2

A: The solution is shown in step-2

Q: Find the general solution of the given higher-order differential equation. y"" + 3y" + 3y' + y = 0…

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