Find the indicated derivative. dx dy dx = for y = x14

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A: Which of the following are continuous functions?The temperature at a specific location as a function…

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A: Slope of the line tangent to the polar curve is given by-

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A: The given curve is .The aim is to show that the given curve has no tangent line with slope .

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A: As per the guidelines,  I can only answer one question and the rest of the questions will be…

Q: x³ dx-y³ dy= 3xy (ydx - xdy)

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Q: please asnwer all the questions please

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Q: Let f(x, y) = 5e6x sin(4y) of дх of ду = =

A: Given

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Q: 10. Write a linear equation to model each function below. (a) g(x) shown on the graph below. g(x)…

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Q: The area under the curve y = √x bounded below by the x-axis and on the right by x = 4 is 16/3 square…

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Q: 2. Find the LU factorization of the following matrices without pivoting 2 3 1 b) A= a) A = 2 5 354 1…

A: Given:a)b)The aim of the problem is to find the LU factorization of the given matrices without…

Q: Solve the differential equation. y"-4y'-5y = 0, y(0) = 6, y'(0) = 6

A: We have to solve the given differential equation with the given initial conditions.

Q: P(t) = 0.01484t2 + 0.446t + 15    (0 ≤ t ≤ 22) where t is measured in years, gives the percentage of…

A: We have given,   P(t) = 0.01484t2 + 0.446t + 15    (0 ≤ t ≤ 22)

Q: f(x) = = x² + 3x; a = -1, 4

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Q: 3. Consider the curve y = x² for 0 < x < 3. Set up, but do not evaluate, the integral expressing:…

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Q: 7) lim X-7 (x-7)2 using the precise definition of limits.

A: Given :- -1 /(x-7)2We can directly put the value of limit as it already simplified.

Q: Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D =…

A: y=sin(3x)dx/dt = 7

Q: Consider the initial value problem y²y' = 2 y(0) = 0 ہو کر Is y = (6t) a solution?

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Q: 2. The input of a function C is time of day since midnight. The output is the number of cars in the…

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Q: 2. Find ƒ' (a) using f(x) = 3x² - 4x + 2. three-step rule if

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Q: Find the derivative of the following function. Make sure to state the differentiation rules that you…

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Q: 818 18181171 81,81 c) = √x+8-4, x your work here ›-4- ƒ(x) = →-4+ f(x) =

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Q: Find the derivative of f(x)=√x¹4 HINT: recall that x = x ²7. Write your answer using negative,…

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Q: 4. Estimating limits graphically Use the graph off in the figure to evaluate the function or analyze…

A: We are authorized to answer three questions at a time. So we answer the first three sub parts.

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Q: The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change…

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Q: 1.) Divide and write the quotient in standard a + bi form. 5 - 2i 2 + 4i

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Q: Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per…

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Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

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Q: Let h(y) = − y(y² – 6) Determine the derivative of h. h'(y) Determine the slope of h at y = 0. h'(0)

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A: The point on the curve through which tangent passes is, .The slope of the tangent is given by, The…

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