Let f(x)=2x-9 and g(x)=-(1)/(3)f(-x). identify its x and y-intercept s of f(x)

Q: Find the derivative of y with respect to t. y=cos 1(√√13t) dy dt (Simplify your answer. Type an…

A: Given query is to find derivative.

Q: This doesnt show how to do it, also this answer is incorrect.

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Q: When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the…

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Q: The functions f and g are defined as f(x) = 8x + 5 and g(x) = 10 – 9x. b) (f+g)(x) = (Simplify your…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 2x² + 3y² - 16x…

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Q: Determine if the given points are solutions to the equation |x-2-y=7. (a) (3, 3) (b) ( - , -36) 7 7…

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Q: Consider the following. Find f'(x). f'(x) = f(x) = - Find f'(-1). f'(-1) = 3,2 2 equation y = + 9x +…

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Q: Given a circle with center (-1, -3) and radius 1, (a) Write an equation of the circle in standard…

A: (a) Here given that the centre of the circle is (-1,-3) with radius 1 Now it's equation can be…

Q: Cet f(x): f'(12) = 4x - 3 5x67 Evaluate f'(x) at x = 12.

A: f(x)=4x-35x-6d dx(ab)=bd dx(a)-ad dx(b)b2d dx(xn)=nxn-1

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Q: Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and…

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = (1 + 2x²)² + 3x³

A: We need to find the derivative of  fx=1+2x22+3x3

Q: Find the absolute change and the relative change in the following case. The number of daily…

A: Here, we have given number of daily newspaper in year 1900 and in 2010 the number of newspaper…

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: The equation of the curve is siny+3x = y2 The point is x0, y0 = π23, π (a) Verify that the given…

Q: Given cost and price​ (demand) functions C(q)=120q+44,800 and p(q)=−2.1q+870​, what is the marginal…

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Q: A water balloon is thrown upward from a window that is 75 meters high with an initial velocity of 19…

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Q: Find dy/dx by implicit differentiation. cot(y) = 5x - 8y dy/dx =

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Q: 10) Calculate; Let f(x) = 3x + 1, g(x) = 4x-7 a) f(3) + g(4) b) f(x)-g(x) c) f(2)* g(-3)

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Q: Find the absolute maximum and absolute minimum of the function z = = f(x, y) = 4x² + 8x + 4y²-8y D:…

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Q: Use the (6) definition to show that 2n + 1 lim n→∞ 3n+ 4 = 213

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Q: . Find all points on the graph of the function f(x) = 2 sin x + sin²x at which the tangent line is…

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Q: . A model for the length of daylight (in hours) in Philadelphia on the tth year is given by the…

A: Given: A model for the length of daylight( in hours) on the tth day of the year is: L(t)=12+2.8…

Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6500. If…

A: let revenue function = R( q ) as we know that R( q ) = q.p( q )

Q: 1) Find all values of x that satisfy the inequality; (x-1)(x+2)(x-4) <0 Show solution on number…

A: We have to find the values of x.

Q: Identify the rate of change (dy)/(dx) of y=x^(2)-2x when x=1

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Q: Q5.2 Find the equation of the line tangent to the graph of at x = -1. Show your work clearly. y = x²…

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Q: Given the equation P(x)=3x^(2)+12x+2, (-10≤x≤10) Find the critical number(s): When did a local…

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Q: Homogeneous DE M(x,y)dx + N(x,y)dy = 0 is Homogeneous if both M and N are homogeneous functions of…

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Q: The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons.…

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Q: A company produces a special new type of TV. The company has fixed costs of $464,000, and it costs…

A: Solution: Let's start by finding the demand equation. Since the demand is linear, we can use two…

Q: Given r² = tesir Find an and at at ar

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Q: b) Find the equation of the tangent and normal lines to the curve x = t², y = t³ -t, at the point…

A: This question is based on Point Slope form of line.

Q: 00 2 ln k k (2) Σ k=1 O 2 In k k 2 ln k k 2 In k k 2 In k k 1 k > 00 k > 2, Σ = diverges, Σ k k=1…

A: To determine whether each of the following series converges or diverges. (a) ∑k=1∞ 2 ln kk (b) ∑k=1∞…

Q: Write an equation for the function graphed below. The y intercept is is (-2, 0). Use y as the output…

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Q: Find T, N and B for the curve r(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 Give your answers…

A: To find T→, N→, and B→ for the curve r→t=4 cos5t, 4 sin5t, 2t at the point t=0.

Q: Separable Form a. Replace y by ux or x by vy if y = ux, dy = udx + xdu . Use y=ux if N is simpler…

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Q: Consider the given function m (x) = 2 (x − 1)² – 8. - (a) Determine whether the graph of the…

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Q: 9 Find the lateral (side) surface area of the cone generated by revolving the line segment y = 5x,…

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

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Q: Given the functions: f(x)=−5x g(x) = x+4 h(x) = -==—= 7 Evaluate the function (f+h) (2) for the…

A: Given functions are f(x)=-5x, g(x)=x+4  and h(x)=1x-7

Q: Please

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Q: Find the limit. (If the limit is infinite, enter '∞o' or '-o', as appropriate. If the limit does not…

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Q: Find the x- and y-intercepts. -5x-8y = 40 Write each intercept as an ordered pair. If there is more…

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Q: GIven f(x) = 2x^2, x = 2, h = 0.1. How would I approximate the derivative three ways using the…

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Q: 1 Tina flies a kite with a 100 foot string. The angle of elevation the kite? of the string is 52°.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2 Marvin stands 155 meters from the base of a mountain and looks directly at the mountain's peak. If…

A: Let h be the hieght of the mountain

Q: Determine the value of dy/dt at x = 2 when 3x² - 5x and dr/dt = 2. y = 1. 2. 3. dy dtx=2 dy dt=2 4.…

A: The given function y=3x2-5x. We have to find the value of dydt at x=2 and dxdt=2.

Q: 3. Let w(x) = 2 u(x)-1 where u is the unit step function defined in problem 2. Write a piecewise…

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Q: Demand Function for Desk Lamps The demand function for the Luminar desk lamp is given by p = f(x) =…

A: The demand function for the Luminar desk is given as: p=fx=-0.1x2-0.9x+32, where x is quantity…