Y7 = Ys Y⁹ = (You can enter your answers in any order.)

Q: 8. Find the derivative of each. N (a) y = sin-¹(x³)

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

Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

A: Given equation, We know,

Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Let y be defined implicitly by the equation In (4y) = 3xy. Use implicit differentiation to find the…

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Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: Find the directional derivative of f(x, y, z) = 2³ x²y at the point (3, 5, 3) in the direction of…

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Q: K Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Find an equation of the following ellipse, assuming the center is at the origin. Sketch a graph…

A: The standard equation of an ellipse with the centre at origin is

Q: 2. §11.3. Q52. Let w = √x² + 4y² - 2². Find (a). Əw/dx|(2,1,-1); (b). Ow/dyl (2,1,-1); (c). Ow/Oz…

A: The given function .The objective is to find the following,(a) (b) (c) .

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

A:

Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

A: we need to find the concavity of the function. given function

Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: The median home value in Ohio and Wyoming (adjusted for inflation) are shown below. Ohio Wyoming…

A: The median home value in Ohio and Wyoming YearOhioWyoming 19505030041300200010370096600Let x be the…

Q: Find d²y/dx² implicitly in terms of x and y. x²y - 4x = 6 d²y dx² || (4xy-12) +³ 3 X

A: we need to find out the double derivative of the given expression.

Q: The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is…

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Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for…

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Q: For any two nonparallel vectors a and b, it holds that Select one: O 3a + b 3|a| + |b| O|3a + b =…

A:

Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

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Q: Lets just say for a question similar, how do I know what numbers to plug in for a valid graph?

A: A line in an x-y plane is a combination of several points.These points consist of pairs of x and y…

Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: = (a) Draw the exponential function: y 3x Also identify the asymptote to this function in your…

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Q: An object moves on a trajectory given by r(t) = (15 cos 5t, 15 sin 5t) for 0≤t≤. How far does it…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 2x² -…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'.. 6. A tank with…

A: A tank capacity is &amp;#xA0;400L&amp;#xA0;" data-mce-style="font-size: 113%; position: relative;"…

Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: Find the following derivatives. z and Z₁, where z = 6xy - 4x²y, x = 5s + t, and y = 5s - t Zs (Type…

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Q: 3 days ago Given the quadratic function of y = 5u2-3bu+b If the function is said to possess repeated…

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Q: Determine the equation of the tangent to the graph of y-²-4-√x at the point (4,8). a) y=-7x+36 b)…

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Q: Compute the following values for the given function. f(x, y) = 8x² + 5xy - 9x + 4. f(1, 2) = f(2, 1)…

A: Given,

Q: Find and simplify the derivative of the following function. f(x) = 25xe x -X The derivative of f(x)…

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Q: (i) (k) dx (tan x) dx (secx) = = (j) (cscx) = dx (1) :(cotx) = =

A: As per your request, we answer only parts (j) , (k) and (l).find using derivative rules

Q: The curve of a function f (x) is given in the figure below and you are asked to draw on it   a)…

A: The curve of the function f(x) is shown as,

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Answer the following questions for the function f(x)=x√x² + 16 defined on the interval -6 ≤ x ≤ 6.…

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Q: Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dy dx

A: Given, 9cos(x)sin(y)=1.we know,

Q: Find the smallest number n of terms needed to obtain an x 9 approximation of the series accurate to…

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Q: Find the sm lest nu approximation of the series 10-4. er n of terms needed to obta an ∞ 17ke 0.49k2…

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Q: 2. General Change to Standard Form (Ax+By = C form) 2 y + 4 = = (x − 8)

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Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: Given an acceleration vector, initial velocity (uovo,wo), and initial position (xo.YoZo), find the…

A: