of and ду of For the function f(x,y) = In (x+ 3y), find

Q: 3 dx xV9- (In x)2

A: Let's find. 

Q: iii. 1-sinx

A: Perform integration

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x ...

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

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Q: Find the derivative of: 4√x

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Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the forc...

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Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy ...

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Q: Let f(x) is the polynomial of degree 5 which intersects the x-axis at point p where p= 25. z is one...

A: Apply all conditions and find roots

Q: If A= then A1=0 true fals O

A: The objective of the question is choose the correct option.

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: Evaluate the integral. TO 9t sin(7t) dt

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

Q: (- 4,3). a) Let f(x, y)= x²y°. Find the directional derivative of f at P(-1,1) in the direction of ū...

A: a)

Q: f(x+h) = 1/x+h+3 compute and simplify f(x+h)-f(x)

A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: Let T2(x) be the 2nd degree Taylor polynomial for the function f(x) = 7 + xe-2* centered at a = 0. F...

A: Given,            The function is fx=7+xe-2x centered at a=0.To find : The Taylor polynomial of 2nd ...

Q: sinx - cosx + 1 sinx + 1 %3D Hint: the conjugate of the denominator XS200S sinx + cosx - 1 cosx is s...

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Q: Rewrite the integration in terms of u. 1 x cos 10rx² dx = COs u du Apply the constant multiplication...

A:

Q: is equal to: 3. After simplification, the product () B) - 18x2y A) 24xy3 3x²y 4xy3 18x D) - 3x 24y2 ...

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Q: Consider the function f(x) (-∞, A, A, B), (B, C), and C, oo) where A, and C are the critical numbers...

A: "As per our policy we can answer only 1st question, so please repost the other question as next ques...

Q: state the definition of the derivative for 8-7t please help! I need first part

A:

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: "Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,...

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Q: Find the limits in a), b), and c) below for the function f(x) = x-5 9x Use - o and ∞ when appropriat...

A: The given function is: fx=9xx-5

Q: 13. Determine algebraically whether g(x)= is an even function, an odd function, or neither.

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Q: Given the function below f(x) = V-32x + 96 Find the equation of the tangent line to the graph of the...

A: To find: The equation of the tangent line to the graph of the function at x=1 and then approximate f...

Q: An object is dropped from a tower, 1024 ft above the ground. The object's height above ground x seco...

A: This question can be solved by equating the given equation to zero to obtain the time and then using...

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150, de...

A:

Q: Counting techniques: Six people were asked to randomly select one food item from a list of 10 foods....

A: This question can be solved by the concept of selection. 1st person will have 10 food items to choos...

Q: Find all local extreme values of f(x) 6x2 16z + 60. The FIRST local extreme value, moving from left ...

A:

Q: On a spring day the temperature in degrees Fahrenheit is given by ? = 50 + 1.2ℎ, where ℎ is the numb...

A: T = 50 + 1.2 h  .....(1) where h, is the number of hours since noon. h = 0T = 50 + 1.2(0)TInitial = ...

Q: 4- -2 -2 2.

A:

Q: 6. Match an expression from the left column with an expression from the right side. Some expressions...

A: Let's find. 

Q: 12. Simplify. 6m? + 13m – 5 9m? – 4 8m? + 16m – 10 6m2 + m – 2

A:

Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.

Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing down....

A: Solution is here

Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

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Q: dy Assuming - 3x° + 6y + 3xy =0 defines y as a differentiable function of x, use the theorem dx Fx t...

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Q: A vector, - (a,b,c), has a direction angle of 45° with the positive x-axis and a direction angle of ...

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Q: III. Find the maximum point, minimum point, and inflection point 2. y = x* - 2x? +3

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Q: For f(x) = 2x - 4x + 3 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 4 (C) ...

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Q: Test II. Determine whether the function f(x) x +6x + 9 is continuous at x = -2. Sketch its graph ill...

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Q: 7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show tha...

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Q: Express the following in Partial fractions 9x2 + 48x + 18 (2x +1)(x2 + 8x + 3) Question

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Q: 4. Find the derivative of f(x) =x' +1

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Q: 10. Do the required operations and simplify. State any restrictions. (x+1)? (x-1)2 a x2+2x-3 x2+4x+3...

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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