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

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A: The length of a rectangle is increasing at a rate of and its width is increasing at a rate of .The…

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Q: Part 2: Find the error(s) and solve the problem correctly Joe was asked to solve the following…

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Q: Write the following logarithmic equation in its equivalent exponential form. 3 = log10 (1000)

A: Using properties of logarithm we can solve the given question

Q: 1. Given the equation that describes 1 y=-(x-2)² +27, determine: a) the vertex b) the domain and…

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Q: question 3

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Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

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A: The profit function:The marginal profit function can be calculated by the differentiation of the…

Q: 1. Let f(x) = x² - 6 and po = 1. Use Newton's method to find p2.

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

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Q: The base x of the right triangle in the figure increases at a rate of 5 cm/s, while the height…

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Q: Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For…

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Q: 4. A suspension bridge with weight uniformly distributed along its length has twin towers that…

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Q: 1. Write a double integral ff f(x,y) dA which gives the volume of the top half of a solid ball of…

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Q: Compute the following values for the given function. f(x, y) = 3xye(x² + y²) f(0, 0) = f(0, 1) =…

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Q: The graph of f(x) is shifted left 5 units, down 8 units, stretched horizontally by a factor of 6,…

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Q: (a) ㎡(c) = = (x) (9)

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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…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: Find the absolute maximum and minimum values of f on the set D where f(x, y) = x² + 4y² − 2x − 8y +…

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Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Remember to use…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: Find the limit: (h-5)²-25 lim, 0 Ꮒ h-10

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Q: Select all of the following for which there exist nonzero constants which can be substituted into…

A: We take each equation and compare of both sides to solve for a, b and c. If the values of a,b and c…

Q: Nû 4 - x X X dx

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Q: Evaluate the definite integral. re4 dx 1 x√In x

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Q: 7. Find the first quadrant point on the curve y=x²-3x² at which the tangent to the curve is parallel…

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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: f(x)=x² - 4x-7; [-1,3] The absolute maximum value is at x=0 (Use a comma to separate answers as…

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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: Use the chain rule to find, where dt First the pieces: ow 81 ow dy ow || || Now all together: dw +…

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Q: The continuous compound interest formula is given by A = Pe. Round solutions to the nearest cent. If…

A: The principal amount,Time, Rate of interest, To determine: The accumulated amount.Formula Used: The…

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

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Q: f(x,t)=x²+14x+y²-4y+3. Pls find maxima, minima, & saddle points. Thank you & I will give thumbs up.

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Q: Write the system equations corresponding to the augmented matrix. Then perform the row operations…

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Q: 6. Identify the key points and coordinates (center, vertices, covertices, foci, transverse axis and…

A: The given equation of hyperbola is

Q: he chain rule to calculate the following:

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Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose z = x² sin y, a = 48² t², y= 8st. A. Use the chain rule to find and all x, y, s and t in…

A: z=x2-t2 ,y=8st

Q: Vector w has initial point (2, -1, 3) and terminal point (-4, 75). Which of the following vectors is…

A: Vector  has initial point  and terminal point . To find the vector which is parallel to .

Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. y=e¹, y=0, x=0,…

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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: (m) (ex)= = (0) dx dx (logax) = (n) (lnx): dx = (p) & (a*) = dx

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Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: The objective of the question is to evaluate the arc length of the given function over the asked…

Q: find: The center of the area for the shaded region.

A: We are given with function and find the area of the shaded region

Q: 4. §11.5. Q10. Use appropriate form of the chain rule to find dw/dt. w = √√√1 + x2yz¹x; x = ln t, y…

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