Answer with "true or false". In addition, if the answer is wrong, correct the statement.     If (what's shown in the first image), then the derived function is (shown in the second image)

Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

A: The function  fx=-2x3-12x2-18x+3⇒f'x=-6x2-24x-18=-6x2+4x+3=-6x+3x+1⇒f''x=-12x-24=-12x+2

Q: Construct a limit evaluation problem with an answer of 1.

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Q: 1) An object moves from a point of origin 5 meters to the left. Describe the object's displacement…

A: An object moves from a point of origin 5 meters to the left. Describe the object's displacement and…

Q: Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz²…

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Q: Construct an equation that has an absolute maximum of 5 when graphed. Please show steps.

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Q: ) Based on your experience in parts (a) and (b), conjecture an antiderivative for each of the…

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Q: Find equations of the normal and osculating planes of the curve of intersection of the parabolic…

A: The curve of intersection of the parabolic cylinders x = y2 and z = x2 at the point (1, 1, 1). Find…

Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ(x, y)=2x² + y² subject to the…

A: fx, y=2x2+y2subject to the constraint x2+y2=1

Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)¹e-x dy…

A: We need to solve (e^y+1)^2 e^(-y)dx+(e^x+1)^4 e^(-x) dy=0.

Q: 25. Practice similar Help me with this Use the ratio test to determine whether an+1 lim n→∞ an (a)…

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Q: an = 3n 2n + 3

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Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

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Q: What are the answers for the letters d, e, and f? Thank you!

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Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

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Q: Estimate the number of flashlights that can be sold at $5. Round your final answer to the nearest…

A: The data of x vs f(x) is given as Sr. No. x f(x) 1 6 86 2 12 60 3 18 38

Q: y = sin x, y = cos x, T - and the y-axis

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin (√x) dx

A: Given integral is ∫sinxx dx

Q: The integral [7 sin 7 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution…

A: let H=∫7sin(x)cos(x)dx

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: ons, use your work (a) to help you the generar (Recall that general antiderivative of a function…

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Q: 2. Find F'(x) if F(x) =tan(3x² + 2x). Solution: U= du dx 11 dy du dy dx 11

A: As per our company guidelines we are supposed to solve first question in different questions so…

Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1

Q: Find all the first and second order partial derivatives of f(x, y) = 6 sin(2x + y) — 2 cos(x − y).…

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Q: -∞ x² et³dx.

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Q: If f is a differentiable function and f'(x) = x5-5x4+ 5x³+2, then fis concave up on

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Q: 1 The equation of the line that goes through the point (7, 9) and has slope can be written in the…

A: The equation of a straight line passing through the point x1,y1 and having slope m is given by…

Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: 6. Given u = a. Su - b. ū c. v [2, -5]and V V = [-7,2] find

A: 6) Given u→=2,-5 and v→=-7,2

Q: (a) The series For the following answer blanks, decide whether the given sequence or series is…

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Q: Use the integral test to determine whether each of the following series converges or diverges. For…

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Q: (iii) y = (3 + 2x)−5

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Q: Question 13 Given f(x) = 3x + 7 9x² 5 V A) Find lim f(x) ° x →∞ B) Find lim f(x) ⁰ x118 " 2 pts

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Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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Q: Consider the series Answer: L = n=1 5" (n+1)4²n+1* Evaluate the the following limit. If it is…

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Q: Practice similar Help me with this First, note that we know how to integrate 7 dx = 1=²+4² 1² da 2 x…

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Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose…

A: We have to to Check the convergence of given series.

Q: Find the derivative of f(x) = In (3+x") with no in final answer negative exponents

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Q: State the order of the given ordinary differential equation. (1-x)y" - 7xy' + 4y = cos x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: Use the chain rule to find dw dt = dw dt w = In (√x² + y² + z²), x = 8 sin(t), y = 7 cos(t), z = 2…

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: Solve the given differential equation by separation of variables. y In(x) dx = (y + ¹)² dy

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Q: Construct a related rates problem where the answer to said problem is 1.5 Please make the problem…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the following system of equations 2x + y = 1 3x + 1.5y = 1.5 Give a geometric…

A: To solve the following system of equations. 2x+y=13x+1.5y=1.5 To give a geometric interpretation of…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

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