Solve the ff. first order DE using Exact Equations a. (x + y)dx + (x − y)dy = 0 - b. (y² − 2xy + 6x)dx − (x² − 2xy + 2)dy = 0 - ?

Q: Use the Fundamental Counting Principle to solve:In the original plan for area codes in 1945, the…

A: Given data:- The first digit could be any number from 2 through 9 The second digit was either 0 or 1…

Q: Find the arc length of 2 + 3/2 from x = 1to x = 4.

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Q: 5.8 or in the direction in which f(x, y) = 9x³y³ P(−1,1), and find the rate of change of fa act…

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Q: please indicate email and solution. thank you

A: To find whether S is linearly independent or not.

Q: Use the laws of exponents to simplify the expressions in Exer- cises 11-20. 11. 162- 16-1.75 12.…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: An object is launched directly in the air at a speed of 48 feet per second from a platform located 4…

A: The position of the object can be modeled using the function ft=-16t2+48t+4, where t is the time in…

Q: Use the quotient rule to find the derivative of cot z. Simplify its derivative as much as possible.…

A: To solve this question we would use the following supporting formulas   ddxcosx=-sinx ddxsinx=cosx…

Q: 5. y = x²lnx 6. y = e-*csc2x

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Q: Consider the curve given by Find all points on the curve (x,y) where the tangent line is horizontal.…

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Q: a. xy³ dx + (y + 1)e¯*dy = 0

A: xy3dx+y+1e-xdy=0

Q: Straight-line Depreciation Suppose that a company has justpurchased a new machine for its…

A: Note:- Slope intercept form of line: y =mx +b             Here, m is the slope of line.   Given…

Q: f(x)= 9x x2+8x + 15 Vertical asymptotes: x= -3, x=-5; Horizontal asymptote: y = Vertical asymptotes:…

A: Topic:- application of derivatives and calculus

Q: Use the formula for nCr to evaluate the expression 11C4.

A: Given data:- Here, n=11, r=4 Use formula:- Crn=n!r!(n-r)!

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A: Given data:- The circle graph in Figure shows the time breakdown, in minutes,for various aspects of…

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

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Q: {²22-1 xx² if x ≤ 3 if x > 3 Calculate the following limits. Enter "DNE" if the limit does not…

A: Given query is to find indicated limits.

Q: Find the gradient of the function at the given point. w = x tan(y + 2), (13, 11, -7) Vw(13, 11, -7)=

A: I have solved step by step in detail.....gl through the solution.....remember the value  (4) under…

Q: Find the implicit equation of the tangent plane to z = ln(x² + 1) + y² at the point (0, 5, 25).

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Q: Consider the ellipsoid x² + y² + 3z² = 8. Find all the points where the tangent plane to this…

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Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data  Six jokes about books.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: We use a transformation to change the Bernoulli differential equation to a linear differential…

Q: Consider the surface xyz = 16. A. Find the unit normal vector to the surface at the point (2, 2, 4)…

A: Given,              xyz=16⇒xyz-16=0

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: Example 2 (Calculator Active): For 0 ≤ t ≤ 10 days, the rate that a company sells t shirts, in 100's…

A: Given query is to find the rate shirt sold after 5 days .

Q: Determine the domain and range of the following parabola. f(x) = -3x²-24x - 54 Select the correct…

A: Given equation of parabola f(x)=-3x2-24x-54

Q: . Determine an equation of the tangent line to the function y=lnx at x = e². Sketch a graph of the…

A: Explanation of the answer is as follows

Q: Use the formula for nPr to evaluate the expression 9P4.

A: Given: The given expression is: 9P4. n = 9 r = 4 Formula Used: Prn = n!(n-r)!

Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

Q: The probability of winning a lottery with one lottery ticket is the number of ways of winning, which…

A: Probability:- The area of mathematics known as probability deals with numerical descriptions of how…

Q: Determine fx and fy (A) f(x,y)=(sin(sqrtx))ln(y^2)   fx=__________________…

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Q: 32. Sketch the following vectors, and find their components and lengths: (a) 4i +3j - 2k (b) i+j+k…

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Q: Write an equation for an exponential decay function where the initial population is 2700 and the…

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Q: f sect x tan²x dx

A: Given, ∫sec4xtan2xdx

Q: On equation (iv), why is d/dz of 3z^3 is equal to 3z^2, shouldn't it be 9z^2?

A: Yes, you are right. There is mistake in equation (iv). Correct solution is shown below.

Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

Q: Use the formula for nPr to evaluate the expression 8P0.

A: Given: The given expression is:  8P0 Formula Used: Prn = n!(n-r)!

Q: Find the derivative of the

A: We will find the required  derivative of given function.

Q: Use implicit differentiation to find az/ax and əz/ay. xy²z³ + x³y²z = x+y+z

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Q: ach of the following questions, find the error(s). Then, write out the correct response Given…

A: Given query is to find the composite function.

Q: Differentiate the function and find the slope of the tangent line at the given value of the…

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Q: 55. Differentiate each trigonometric identity to obtain a new (or familiar) identity. sin x cos x…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: 19. The graph of f is shown to the right. For which value of x is f'(x) the smallest? [A] x=6 [B]…

A: given graph of f(x)

Q: Find the dependent, independent, derivatives, ordinary/partial, order, degree, linear or non-linear,…

A: We need to solve D.E. NOTE- As per Bartleby guidelines we can solve one question. Please upload…

Q: se the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: answer=4(tan(θ))

Q: Solve by the method of your choice:Baskin-Robbins offers 31 different flavors of ice cream.One of…

A: Given: n = 31 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

A:

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: Let the length of fence be L feetLet the width of fence be W feet

Q: Use the formula for nPr to solve:A corporation has ten members on its board of directors.In how many…

A: Given: n = 10 r = 4 Formula Used: Prn = n!(n-r)!