DIRECTIONS. Indicate the degree and determine the solution of the following equations. Homogeneous DE 1. 2(2x² + y²)dx - xy dy=0 when x = 1.y = 1/2

Q: Find the particular solution of each of the following. (4+sine)y'=e*(6soc² e* - ycose); y(ln x) =…

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Q: Find the general form of f if f'(x) = 5f(x) f(x) =

A: Given query is to find the value of the integral.

Q: Find an equation of the tangent line to the curve y=4^x at the point (1,4)  Tangent line: y=

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Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: lim 1 - cos(sin(³-1)) 73 - 1

A: As per the instruction, we will be answering the first question. The graph of y=1-cossinx3-1x3-1.

Q: PZ π/2 4 2 1 79 -3 -4 The graph of the function f(x) = tan x is given above for the interval a € [0,…

A: Given query is to find indicated limits and vertical asymptotes.

Q: Let f(x) be the function 9 x² − 3 x + 4. Then the quotient a = Number and b = Number f(4+h)-f(4) h…

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Q: Find the derivative of: — 2 sin² (9x5). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).

A: To find out the derivative of the function. as per the company rules we can answer only the first…

Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Given half life of 34 hours Initial does of 75 mg

Q: Use the washer method to find the volume of the solid obtained by rotating the region bounded by y =…

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Q: If you are dealt one card from a standard 52-card deck, find the probability of being dealt a king.

A: Given data, No. of cards drawn 1. n(A)=4 n(S)=52

Q: d (h) Find sec (arctan (0~))] do

A: We need to find out the derivative.

Q: (a) J x² dx 3x + 2 x + 7 (b) 6) [ √2+1 da dx

A: Since multiple questions are asked, I am answering first question

Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ ƒ(6, π) = = = sin (c)…

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Q: Graph the function and observe where it is discontinuous. f(x, y) = e¹/(x - y) f is discontinuous at…

A: The given function is fx,y=e1x-y The graph of the function is as follows.

Q: Evaluate the following integral. 4x Jetz 4* sin(2x) dx =

A: The given integral is e4xSin(2x).

Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours and…

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Q: x=t-2 and y= Part: 0 / 2 Part 1 of 2 =-=-=-2 (a) Eliminate the parameter and write an equation in…

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Q: Consider the following limit statement: lim (9x-3) 15 x → 2 Find the corresponding value of 6 when &…

A: givenlimx→39x-3=15

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: Find the relative extrema of f(x)=32x² - 4x². Find the absolute maximum and absolute minimum of the…

A: solution is given below..

Q: You are taking a multiple-choice test that has ten questions. Each of the questions has four answer…

A: There are 10 questions in the test and each question has 4 answer choices with one correct answer.

Q: Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

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Q: Constructing an Open Box An open box with a square baseis required to have a volume of 10 cubic…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 5 m, at what…

A: Topic- Application of derivatives We are given, Original edge length of cube=24mrate of decrease of…

Q: Example 4 (Calculator Active): For 0 ≤s ≤ 5000, the total amount a local college spends on printing…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  where…

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Given: To find: limx→2- fx , limx→2+ fx, limx→2 fx

Q: Shown below is the graph of the flow rate f(t) of a pipe, in gallons per minute. Here, t= the number…

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Q: 9. Determine the convergence of the following series using the ratio test. If the ration test is…

A: Ratio Test

Q: Use the formula for nPr to solve:How many arrangements can be made using four of the letters of the…

A: Given: the given word is = COMBINE Total number of words n = 7 Number of used letters = 4 Formula…

Q: Find all the first and second order partial derivatives of f(x, y) = −4 sin(2x + y) + 10 cos(x - y).…

A: Given:- fx,y=-4sin2x+y+10cosx-y

Q: 10. Determine the convergence of the following series using the root test. If the root test is…

A: Given data:- The given equation, ∑n=1∞n+1n+2n

Q: According to one model that takes into account air resistance, the acceleration a(t) in m/s" of a…

A: Here is the solution:

Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30} Let sets A and B be subsets of S, where:…

A: S={1,2,3,...,28,29,30}Let sets A and B be subsets of S, where:Set A={4,5,6,9,13,20,24,28,30}Set…

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

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Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows

Q: lim asin x→0 | cr x

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Q: Graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the…

A: Concept used: Graphing A graph of a function is a line that represents the function on a coordinate…

Q: Telephone numbers in the United States begin with three-digit area codes followed by seven-digit…

A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

Q: (b) Let y = (2x + 1) cos. Compute by using logarithmi dy dx

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Q: Evaluate using integration by parts or substitution. Check by differentiating. (2x²-7x) e7x dx √(2x²…

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Q: Integrate [8³e³ 13 ft³e est dt t³ est dt. =

A: The solution to find the integral  of given integration is as follow.

Q: Find an equation for the plane that passes through the following points. (3, −1, 5), (0, 0, 6), and…

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Q: The answer was not correct... i think they were wanting some kind of answer closer to like…

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Q: FIND F'(x) F(x) = 2 tanx 1+cosx

A: To differentiate the given function.

Q: • f is not continuous when x = 4 but limx→4 f(x) exists. f has a non-removable discontinuity when x…

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Q: If f1x2 = x2 - 4, find f1 - 22.

A: Given, fx=x2-4

Q: Similarly, approaching along the y-axis yields a limit equal to 0. Since these two limits are the…

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: Consider the function f(x) = 3x²-5x+2. Use it to find f(4), f(-1), and f(a + 3). f(4) = 30 O…

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