The equation of the tangent line to the curve y=3x² - 2x

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A: We use Logarithmic properties1. alogax=x2. lnmn=nlnm3. logaa=1

Q: why JK^2 became 2 x 11??

A: Given; why JK2 became 2 x 11?

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A: The answer is given below:

Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

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Q: Evaluate f f (x) dx if f(x) 06 O 12 8 O 14 = Į [2x X 1 if x ≤ 3 if x > 3

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Q: 10. B. (Å×ů) | Run A X = lyz2 -382 zxyz 으으 oxy t 으 olo p = xyz = 아름 - 3x22 2x42 으 해 고 ㅎㄹ | C.) 2 92…

A: To determine the mistake done by the student and to correct the solution provided by the student.

Q: a. f(x) = √x 2 b. g(x) = √x²

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Q: 6. 7. 00 8. x = C₁ cos wt + C₂ sin wt; w a parameter y = cx + c² + 1 h y = mx +=;h a parameter, m to…

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Q: Question Find the average rate of change of the function f(x) = x² - 8x + 12 on the interval [1, 1 +…

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Q: imat ******* w Orleans, Louisiana, and Memphis, Tennessee, lie approximately on the same meridian.…

A: New Orleans has a latitude of 30∘N  and Memphis has a latitude of 35∘N  Find the distance between…

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A: Cost, revenue, and profit are in dollars and x is the number of units.Suppose that the total revenue…

Q: A math tutor makes $15.00 an hour. An additional $7.50 is added if she works past her normal 40 hour…

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Q: 1. Obtain the general solution of the given DE: (t² + 7st + 16s²)ds = −s²dt. The DE is homogenous…

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Q: 3. Find a model for the set of values. x-5-4 y 25 10 4 5 16 2 16 25

A: We have to find the graph for given set of values

Q: Consider the function ab a b |a| g(x) = TT a sin²(x)+1 kx+1 2x+1 a) What is the condition on a in…

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Q: If the cost function for a commodity is 1 3 -13. 90 C(x) = +6x² + 6x + 14 dollars find the marginal…

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Q: Find the equation of the tangent line to the curve f(x) = 4√x-x+9 at (16,9)

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Q: (a) Let f(x) = (x + 5)4, z 20. Find a formula for f-¹(x) Answer: (b) For what values of x is f¹…

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Q: y = (-x² + 6x-4)5 dy dx || ? Choose the correct answer for Question 4: * 5(-x²+6x-4)4(-2x+6)…

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Q: The graph of y = f(x) is given below. Which of the answer choices shows the graph of y = 2f(x)? -1 S…

A: To solve this problem we will apply the concept of vertical stretch factor.

Q: Given the graph of the piece-wise defined function below, f(x), find the following: a) Domain: 5 b)…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

A: Given information:  G1: The on shore velocity of drone = 4km per hour G2: The off shore velocity…

Q: choose the correct answer Anna has bowling scores of 119, 78, 99, 108, and 153. What must her next…

A: Topic = Algebra

Q: Find the derivative and simplify. dy dx y = (4x7 + 2) (9x6-9x4 -8)

A: differentiate by using by part formula

Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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Q: Find f'(x) by using the definition of the derivative. f(x) = x² − 7x +4 f'(x) =

A: Solve for the derivative by using defination of derivatives

Q: .Consider the hemi-spherical tank of radius 13 m as shown in the figure (not drawn to ale). What is…

A: Topic = Volume

Q: Given the following matrices, perform the indicated operation, if possible. A= 54-7 16 -8-5 14:3 B=…

A: The matrices are: A = 54-7168B = -8-578C = -5-8004-4766D = 906-4-74 To evaluate: The value of B+AD.

Q: Given the curve r(t) = (cos 3t, sin 3t, 2t) Find the following unit vectors and simplify your final…

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Q: Find the equation in slope-intercept form of the line tangent to f(x) = 4x² + 4x − 9 at x = 3 . The…

A: Here we have to find the equation of line.

Q: Which of the following is equivalent to S after appropriate half-angle substitution is used? Hide…

A: ∫11+cosx+sinxdx

Q: Given the graph of y = f(x) shown below, what is the graph of y = f(-x)?

A: Given Graph

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² + y² + 81-9 lim…

A: Solve the following

Q: A certain number of people P(t) in a community were exposed to an advertisement by a certain…

A: Given that the maximum number of people who will see the advertisement is 50,000 and 500 people were…

Q: lef f(x) = x-2₁ g(x) = ³√x₁ h(x)=x4, and j(x) = 4x, Express oach of the function. given below one or…

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Q: 3. As in the previous problem, consider the initial value problem dy y(0) = 50. dt Determine the…

A: Please see the below picture for detailed solution.

Q: b) h(x) = 5e cos(x)

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Q: Precision Approach Path Indicator (PAPI) lights are used as a visual approach slope aid for pilots…

A: Concept: Trigonometric ratios: tanθ=perpendicularbasesinθ=perpendicularhypoteneuscosθ=basehypoteneus…

Q: 16z Graph g(x)= 2² +16 q(a) is increasing on the interval(s): q(a) is decreasing on the interval(s):…

A: we need to check for maxima and minima

Q: . Evaluate the limit. [A] 0 [B] 2 [B] 2 [C] [D] ∞ 21/12 4 4x³ + 1 lim x→∞0 2x3 + √16x6 + 1 2 [E] ² 3

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Q: A) (3x − 1)² – (4x − 7)(4x + 7) - - and combine like terms. Simplify your answer as much as…

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Q: Find the differential equations of the following family of curves.

A: The cardioid equation in polar form is given by   r=a(1+cosθ)

Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy — dx = x³ + 2x MIX 3 == = 4…

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Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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Q: an = 5-2an-1 with a₁ = 3

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Q: From the table below calculate the quantities asked for: x 84 8 4-6-2-4 f(x) 168 16 8 -12 -4 -8 g(x)…

A: Use the table and simplify