Part 1 Find y' if x² = y². Note: Leave your answer in terms of x and y. Part 2 Use logarithmic differentiation to find the derivative. Part 3 Find dy dx da || for the function y=x 7 cos(z) y = r²+8 x² +9

Q: Solve the following differential equations dy cos y 11 = sın' x coS X dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Write the solution of the following D.E in term of convolution y-2y-2y = 8 t-cost +1…

A: The general solution to the homogeneous equation y'' - 2y' - 2y = 0 is y_h(t) = (c_1 + c_2t)e^(-t).…

Q: QUESTION 1 x(t) = t – t2 y(t) = t3 Find dy/dx whent = 2. Round off to two decimal places.

A: Given: xt=t-t2, yt=t3 we know that dydx for given function is given by dydx=dydtdxdt=ddtt3ddtt-t2…

Q: (a) For which values of p does the integral 1 de converge?

A: Note: As multiple questions have been asked, so only First question (a) have been solved here…

Q: A tank is initially filled to capacity with 250 L pure water. At t=0, brine containing 2 g/L salt is…

A:

Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

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Q: cot? 3x lim (sec³ 2x) x→0 e O 2/3 e^2/3

A:

Q: Find the critical z* for a level 52 % confidence interval.

A: 52% confidence interval Alpha= 0.52  1- alpha = 1- 0.52 = 0.48   For right tail :  x= Alpha/2  For…

Q: Use the definition of the derivative to compute the derivative of the function f(x) = at an…

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Q: B) Consider a continuous random variable X with the probability density function (PDF): ce , 1<x < ∞…

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Q: Help me solve this page please.

A: The solution is given below

Q: Let f(x) = 3 cos x f'(x) = ƒ'( -5 ) 6 = 7 tan x

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Q: Find a power series representation for the function and determine the radius of convergence. f(x) =…

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Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

A:

Q: 8 [(x - 5 -9 (x - 5|x) dx

A: use the value of the absolute function.

Q: (g) Let S = {(1, y) = U² | 1 ‡ y}. Calculate |S|. (h) Let T = {(z,y) € C² [5 ≤ 1+ y ≤ 8}. List all…

A: Partition of the set

Q: . A fair die is rolled repeatedly. Let X denote the largest number shown up after the n-th roll, n =…

A: The fair die is rolled repeatedly.The largest no. shown up after the n-th roll

Q: A barber shop has two barbers. The customers arrive at a rate of 5 per hour in a Poisson fashion,…

A: The rate of customers arrive in the shop is 5 per hour. The number of chairs for waiting is 4. The…

Q: Which of the following represents the quotient of 24x0 + 18x* + 12 and 6x° ? ect one: A. 4a + 3x + 2…

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Q: Obtain the general solution by the parameter variation method ÿ = 2ÿ – ý + te-2t + 3

A: The solution is given as

Q: Mrs. Anuwe is looking for the total area of her living room. The dimensions of her room are 16.7…

A: Required Area is 392.45 feet2

Q: An article reported that, in a study of a particular wafer inspection process, 356 dies were…

A: Given, The sample proportion is, Critical value: Using z-table, the z-critical value at the given…

Q: Find all real solutions of the following rational equation and check any results. 5 X+6 1 + -=1 X

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Q: 1. Consider the initial value problem y" – y' – y = 0 with y(0) = 2, y'(0) = 7. (a) Find a…

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Q: for each In Problems 21-30, find an explicit formula a, = sequence, determine whether the sequence…

A: The given sequence -1, 23, -35, 47, -59,..... We have to find the explicit formula for the sequence…

Q: 4) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one…

A: Given that there are 10 red and 12 white flowers. So, total (10+12)=22 flowers   i) We can draw the…

Q: (log 6v6)^2

A: We have to solve

Q: dnd tie r(t) = (3 cos t,3 sin t,3t)

A: Given: r(t)=&lt;3cost,3sint,3t&gt; Unit tangent vector formula is    T(t)=r'(t)|r'(t)|

Q: Simplify by using PEMDAS: 22 (3 + 8) * 4 + 52 -22

A: using pedmas rule given problem is solved as following (step 2)