If f(x)= 2x^2-8x+9 Find the equation of the tangent at x=3

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Q: The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is…

A: Given that the rate at which photosynthesis takes place for a species of phytoplankton is modeled by…

Q: Refer in class example from Section 15.1-15.3 Example 3. Think about if we can evaluate the…

A: To evaluate the following integral.Here the order of integration is  first i.e. firstly, we have to…

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A: To find the solution to the initial value problem.

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A: Given hereto find derivatives need to find derivatives by holding  constantusing the formulasThen

Q: For the following exercises, solve to four decimal places using Newton's method and a computer or…

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Q: The logistic model P(t) = 96.0235 1+0.0455-0.1864t represents the percentage of households that do…

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Q: A pizza pan is removed at 1:00 PM from an oven whose temperature is fixed at 450°F into a room that…

A: By using Newton's law of cooling in the study of heat transfer:-

Q: 5. sin J 46. sin - 1 e cos²0 - de

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 12) Differentiate h(w) = √3w-√3+ + Vw- 1 VW 13) Differentiate f(x) = x²(x + 4) 14) Differentiate

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Q: List the first five terms of the sequence. a₁ = 18, ªn+1 a n n

A: The given sequence is defined as.The aim is to find the first five terms of the sequence.

Q: 19) Differentiate g(0) e (tan (0) - 0) = dy 20) Find by implicit differentiation. dx 4x² + 7xy-y² =…

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Q: Find the function f(x) and all values of c such that [F f(t) dt = x² + x - 2. f(x) = C = (Entered as…

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Q: Use the properties of logarithms to completely expand ln6x^8/r.

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Q: 10) If f(x) = 3x x +4 +4 and g(x) = f(×¹4), write an expression for g(x) and find its domain and…

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Q: 14) Differentiate 3√x + 2x 7x² y=-

A: 14) y=(3 sqrt(x)+2x) /(7x2)According to the bartleby guidelines we solve only one question, so…

Q: Calculate the following limit, use L'Hopital's Rule where appropriate lim x sin 8个8 ㅠ X

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Q: v ellipses in the x-y plane. You must sketch the graphs of

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Q: A car is traveling at 80 ft/sec when the brake is applied, providing a constant deceleration of 20…

A: Find the distance  travel  in 3 sec period .

Q: constructed

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Q: f(t) = cos² (2t)

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Q: Evaluate the integral: 25 x²√x² + 81 (A) Which trig substitution is correct for this integral? Ox =…

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Q: 100. Given that f₁² xdx = So S₁² x² dx and 1/1, 2 = 1/1, 3 fx³ dx = 1, S Compute ¹ (1-x)² dx f

A: Given,

Q: QUESTION 13 Consider the function x4 7 12 36 4 if the domain is [-10,10], find the absolute extrema…

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Q: Find the profit function P(x) for a corporation for the years 2004-2012 given the revenue function…

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Q: (x, y) = ¹ +r³y - 2y' find fz (z,y), fy(z, y), and evaluate them at (1, of Find fa(, y) = da Answer…

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Q: Using the substitution: u = x5 6. Re-write the indefinite integral then evaluate in terms of u. 13 √…

A: In this question first we rewrite the indefinite integral in terms of 'u' and after that substitute…

Q: Find the slope of the tangent line to the polar curve 7 = 1-sin 40 at 0= 04 0- 12/12 O 5√3+4 1-4√3

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Q: 11. A car drives towards a 111 m skyscraper at 7.62 m/s. How fast is the car approaching the top of…

A: Given that :Height of the skyscraper =  mSpeed of the car =  m/sTo find :Rate of change of distance…

Q: Let y be defined implicitly by the equation 4x³ +8y¹ = 20. dy Use implicit differentiation to…

A: Given,

Q: Question 63.23 Please sketch the graphs of the ellipsoids shown below in space: a) x²+y²+4z²=4 b)…

A: a) b)

Q: Find the equation of the tangent line to the curve f(x) = -x³ + 2x at x = 1. O T(x) = 1 + (-1)(x -…

A: The given function .The aim is to find the equation of the tangent line at the point .

Q: Find the domain and the range of the relation CELIB Find the domain [1,00) (If the solution is an…

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: The revenue for a restaurant chain (in billions of dollars) for the years 2010 to 2015 can be…

A: Given that the revenue for a restaurant chain (in billions of dollars) for the years 2010 to 2015…

Q: Find the present value Po of the amount P = $100,000 due t= 5 years in the future and invested at…

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Q: Consider the function below. (Give your answers correct to two decimal places. If you need to use -∞…

A: The given function is

Q: g(x) = x² - 2x³ + 8x 4 2 r

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Q: 19) Differentiate g(0) e (tan (0) - 0) =

A: As per our guidelines, we can solve the only first question. Please repost the remaining…

Q: Determine whether the series is convergent or divergent. n=1n² - 1 6n + 12 converges O diverges

A: The given series is

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Q: lim x arrow 0 ((square root 1+x) -1)/x

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