Use the Chain Rule to compute the partial derivative. ə -In (6u² + uv) = 0 du

Q: Determine whether the planes are parallel or identical. -7x + 2y - 9z = 7 21x 6y + 27z = 20 The…

A: The given planes are: P1:   -7x+2y-9z=7           and          P2:   21x-6y+27z=20

Q: Solve the ff. Linear Equation: c. 2 2x³y = y(y² + 3x²)

A: We have to solve this given Bernouli's Differential Equation.

Q: Find the equations of all lines having a slope -1 that are tangent to the curve y=1/x-4

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Q: Find an equation of the line that satisfies the given conditions. Through (−4, −5); slope − 7/2

A: Given, line passing through (−4, −5) and having slope − 7/2

Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

A:

Q: Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x,…

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Q: Find the derivative using trigonometric identities: 1. f(x) = 2 sec(x) - 7 cot(x)

A: Dear student, as per Bartleby policy we are allow to solve one doubt at a time.please repost other…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: E. Generate solution of the first-order differential equations using 1. Separation of variables/…

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Q: Discuss

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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: 22. (e¹ + y) dx + (2 + x + ye³) dy = 0, y(0) = 1

A: Given ex+ydx+2+x+yeydy=0 and y0=1

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: le's law states that if the temperature of an ideal gas is held constant, then the pressure P of the…

A: Given query is to find the expression for  rate of change of pressure.

Q: 1. Find the slope of the curve x²+ y² -6x - 4y - 21 = 0 at (0,7). Compute also the tangent line and…

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

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: Use a software program or graphing utility to solve the system of linear equations. (If there is no…

A:

Q: 2. Identify an inner function u = g(z) and an outer function y = f(u) of y=e=¹+2 3. Express Q(z) =…

A: Solution

Q: A restaurant dinner menu includes the following statement. "All dinners are served with a choice of:…

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Q: Use the formula for nCr to solve:An election ballot asks voters to select three city commissioners…

A: Given: n = 6 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: v2 dv

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Q: Solve the ff. first order DE using Homogenous Equations. C. 3(3x² + y²)dx - 2xy dy = 0

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Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: Probability:- The field of probability deals with the numerical representation of the likelihood…

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: lim 60 SiA (-78) (10

A:

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: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

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Q: 1. The sum of the first two terms of a geometric progression is 36 and the product of the first and…

A: Given :The sum of the first two terms of a geometric progression is 36The product of the first and…

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: S x5 ex dx

A: We will use method of integration by parts. We will perform step by step process to finally solve…

Q: Solve the ff. Linear Equation: b. (x² + y² + 1)dx + x(x - 2y)dy = 0

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Q: Find the derivative of: – 7 sin² ( – 8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule…

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Q: In each of Exercises , sketch the shifted exponential curves.7. y = 2^x - 1 and y = 2^-x - 18. y =…

A: Given exponential expressions, 7) y=2x-1 and y=2-x-1 8) y=3x+2 and y=3-x+2

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 2x4-9x² + 1 has a real zero…

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Q: 13. The graph of the first derivative f'(x) of a function is shown. Identify the graph of f. N

A: Given query is to find the the graph of the function from the derivative graph.

Q: On the day of a child’s birth, a deposit of $P is made in a trust fund that pays 8.75% interest,…

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Q: Compute the first-order partial derivatives of the function. z = (Use symbolic notation and…

A: To find the first order partial derivatives.

Q: In Exercises 39–42, express the given quantity in terms of sin x and cos x. 39. cos (7 + x) 40. sin…

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

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

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Q: A particle is moving along the curve y = 4√4x + 4. As the particle passes through the point (3, 16),…

A: A particle is moving along the curve y=44x+4. As the particle passes through the point 3, 16, its…

Q: Let f(x) = sin(x)cos(x). ƒ'(x) = 4 Write the equation for the line tangent to f(x) at the point x =…

A: We have to find the equation of tangent line

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 15-…

A: Given query is to find indicated limit.

Q: Use the formula for nPr to solve:In a production of West Side Story, eight actors are considered for…

A: Given data, n=8 r=3

Q: Determine the domain and range of the following parabola. f(x) = x² + 4x + 6 Enter your answer as an…

A:

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: Solve the ff. first order DE using Homogenous Equations. b. (x - 2y)dx + (2x + y) = 0

A: We have to find the solution.

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given; Vertex (5, -1) ; point (6, 5).

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