Find any local and absolute extrema of the function f(x) = ². 9

Q: Graph the solution to the following inequality on the number line. x2>4x

A: We need to graph the solution of the inequality on number line.

Q: ASK YOUR TEACHER A rectangular package to be sent by a postal service can have a maximum combined…

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Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: Please see the below picture for detailed solution.

Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

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Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: Let P and Q be polynomials. P(x) 818 Q(x) if the degree of P is (a) less than the degree of Q, and…

A: Given query is to find the limit of the expression.

Q: 2 Given that f(x) = x² x² (a) (f + g)(x)= (b) (f - g)(x)= (c) (fg)(x)= (d) (4) (2)-[ (x)= - - 10x…

A: We can answer the composite functions in the below steps.

Q: Find each limit, if possible. (If an answer does not exist, enter DNE.) 7x +5 (a) lim (b) lim (c)…

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Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: Problem # Perform inverse Laplace. of the functim 5S M(6) = 5²' (0-²35-0²-5³5) (e s

A: L-1(e-as/s)=H(t-a), H(t) is unit step function and a is any scalar.

Q: For y = 88√x, find dy, given x= 4 and Ax=dx=0.22. dy= (Simplify your answer.)

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Q: Let f(x) = ln(x² + 4x + 9) In f'(x) =

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Q: point The graph of the function f(x) = 3-5 can be obtained from the graph of g(x) = 3 by one of the…

A: Domain:- The set of all those input variable such that the function at those values exists.Range:-…

Q: (ex + ln y + ²) dx + ( + Inx + siny) dy = 0 y(2x² - xy + 1)dx + (x - y)dy = 0

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Q: Find the derivative of the function at Po in the direction of u. 9) f(x, y, z) = ln(x2 +9y2-7z2),…

A: To find the derivative of the function at P0 in the direction of u.fx, y, z=lnx2+9y2-7z2, P09, 9, 9,…

Q: Sketch the situation if necessary and use related rates to solve. Two buses are driving along…

A: I am attaching image so that you understand each and every step.

Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: Consider g(y) = 7y(3 – y) ¾³ Determine the intervals on which g is concave down. O g is concave down…

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Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 T…

A: Given,

Q: Use reference angles to evaluate sec Enter the exact answers. For the number π, either choose from…

A: Important point to remember: All even multiples of π are equal to 0 or 2π. All odd multiples of π…

Q: 8. State the domain of the logarithmic function by solving a polynomial inequality. Specify the cut…

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Q: Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between…

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Q: If there are more than one hole, seperate them with commas; if there are none, type DNE. Check…

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Q: Use any method to evaluate the integral. S 243 dw w²√√81-w² 243 dw w²√√81-w² W (Type an exact…

A: Given data:- ∫243w281-w2 dw

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: 9. Find each partial derivative : (a) 8³% дудх2' (b) ეპიც əxəyəz' for z = ln (sin (x − y)). for w=…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=√56x²-9y²-16x-31…

A: The function is given as , fx,y=56x2-9y2-16x-31+1-8x find the local minima , local maxima and saddle…

Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: If w=-4x² + 8y², x = -s+ 6t, and y = 3s + 2t, find Ət Provide your answer below: дw = Ət in terms of…

A: Given query is to find indicated derivative.

Q: The number of bacteria in a culture is given by the function n(t) = 915e⁰ 0.35€ where t is measured…

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Q: Carry out three steps of the Bisection Method for f(x) = 4 - 5 as follows: (a) Show that f(x) has a…

A: Please see the below picture for detailed solution.

Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: Solve the equation 9x cubed + 9x squared - x - 1=0 govem tjat -1/3 is a zero of f(x)=9x cubed + 9x…

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x2; R(x) = x³ + 11x…

A: We can answer all the three questions in the below steps by finding the marginal cost, marginal…

Q: 4. Let f(x)=2x4-5x² + 2x sin(x) *20 x < 0 (a) Prove f(x) is continuous everywhere. (b) Prove there…

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: Topic =Inequality

Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q: Evaluate the integral 4 * √i(4+t) dt

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Q: y 1 * ( ² ) ]dx + x tan +¹ (²) dy = y 0 X X x - y tan

A: To solve the following differential equation.x-y tan-1yx dx+x tan-1yx dy=0

Q: Consider the function f(x) = 1) Domain in interval notation: 4x16 (x - 1)(x-7) 2) Coordinates of the…

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Q: Evaluate the integral. S dx √25x². =, XX X> 25x - 49 75

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

Q: Consider the function f(x) = x² x² + 4 You may use the facts that f'(x)= needed. = Answer the…

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Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 52² = 108,…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: See this solution in below.

Q: Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite,…

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Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g&gt;0.We need to check the differentiability at g=0.

Q: Use the Substitution Formula, f(g(x)).g'(x) dx = f(u) du where g(x) = u, to evaluate the following…

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