Use the quotient rule to find the derivative of the following. 2 8x +9 y= 2 x +5 dy dx =

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Q: 3. √9-x2 dx (hint: sin x = S dx (hint: sinx = (sin²x)(sin²x)) x4

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Q: 0 = || Convert the Cartesian coordinate (2,6) to polar coordinates, 0 0

A: The objective of this question is to convert the given Cartesian coordinates (2,6) into polar…

Q: Please be thorough and walk through each part. This wi help so much. Thank you!@

A: (a) dθd​x=0.035898 (b) D=3sin(2θ) (c) dθd​D=3Explanation:

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Q: Explain fully for better understanding. See image attached. Thank you

A: The objective of this question is to find the time at which the maximum velocity of the target…

Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

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A: The expression for the mass of the lamina body is:The expression for the center of mass is:

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A: Given values:ho = 7 ft.u = 70 ft./s Solution:We know, highest distance travelled from initial height…

Q: Find the slope of the tangent line to the polar curve r=4-5cos(theta) at theta = pi/3

A: If you have any questions let me know in comment box thankyou for your question.

Q: lim n-α (+)

A: We solve this limit by using L' Hospital rule.

Q: 3. Assume x = p(t), y = q(t), and a <t≤b. Also, assume the curve does not cross itself and both…

A: Step 1:Given: x = p(t), y = q(t), and a≤t≤bWe have to write formula for area, arc length and surface…

Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

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Q: Use the graph to find the following limits. a. lim f(x) X-➡-1 b. lim f(x) x-1 a. Find lim f(x) or…

A: By using the graph to find the following.

Q: f'(0) = Let f(x)=7e+2 + e¹.

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship…

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Q: Let f(x, y) = 4x² + e¯y². Find critical points and classify them as local maxima, local minima,…

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Q: How long (in years) will it take a $300 investment to be worth $800 if it is continuously compounded…

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Q: Please answer parts b-d!! Thank you!

A: To solve this problem, we need to follow these steps: (a) Find the area bounded by the curve and…

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Q: Determine whether the sequence converges or diverges, if it converges, find the limit.  an= e-1/√n

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Q: s supposed to be the degr

A: To verify the identity.

Q: Let f(x, y) = 1 + 2x² - cos(5y). Find all critical points and classify them as local maxima, local…

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Q: If f(x) = 2. e*, find f'(1).

A: given function

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A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: 14- 12- 10- 8+ 6- 4- The graph of a function f is shown in the figure. Estimate the derivative of f…

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Q: Please do 2

A: Final Solution1 a)the critical point (1,4) corresponds to a local minimum.1 b)we found a critical…

Q: 6

A: 4374πExplanation:

Q: I am needing assitance with the problem in the attached image, 3.4.

A: The equation of the line that is tangent to the graph of f(x)=2x2 and parallel to the line 6x−y+4=0…

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A: we will find the marginal supply and given parts.

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: The linear approximation of a functionf(x) at a point a is given by the equation:…

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t-u, y = stu²…

A: Given: To Find: To find

Q: Consider the given limits (a is a constant, f(x) > 0). lim f (x) = 0 xa limp (x) = ∞ xa lim g(x) = 0…

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Q: A company manufactures and sells x cameras per week. The weekly price-demand and cost equations are,…

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Q: solve the non-homogenous equation y” – 2y’ = t + e^t

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Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

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Q: Use a linear approximation to estimate the following quantity. Choose a value of a that produces a…

A: Step 1:​To approximate 37​ using linear approximation:Let f(x)=3x​,a=8f(8)=38​=2f(x)=3x​Using the…

Q: Let f'(x)=(x-1)(x+2)(x+4)³. For what value(s) of x does f(x) have a local maximum?

A: The given derivative function is

Q: I am needing assitance with the problem in the attached image, 3.5.

A: f′(t)=−4t−9Explanation:

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A: Solution-The given annuity is Annuity due because the payment is done beginning of each period.a)…

Q: Replace the letter A in the integral S Ae6x³-5x2 1 da so that the integral evaluates to 6x³-5x² +C.…

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Q: a) sin(x) + cos(r) - √x+dr x+2x³ dx I c)/3-e dx

A: To find : Evaluate the given indefinite integrals.

Q: 57. Escape Velocity According to Newton's Law of Universal Gravitation, the gravitational force on…

A: Escape Velocity According to Newton's Law of Universal Gravitation, the gravitational force on an…

Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: HELP ASAP

A: Look at the below attachmentExplanation:Step 1: Step 2: Step 3: Step 4:

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

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Q: 4  For the function shown in the​ graph, give the​ interval(s) where the rate of change of​ f(x)…

A: Step 1:a) The rate of change is positive on the interval where the slope is increasing. From the…