2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 5x - 4y c = 6, P(0, 0)…

A: Find the normal vector to the level curve f(x, y) = c at P. given f(x, y) = 6-5x-4y and C = 6, P(0,…

Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: How do I find the absolute extrema of g(x)=(3x2)/(x-6) in close interval of [-3,2]

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Q: an+1 Use to show that the sequence given by an (a) (c) Strictly increasing (b) Strictly decreasing…

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Q: 6.8 23 & 24

A: We know that,

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A: I am attaching image so that you understand each and every step.

Q: Find the value of the logarithm. (1) In

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A: Given query is to find the rate of change of area.

Q: Find f'(x). f(x) = (5x +9) 4

A:

Q: Find the general solution and particular solution of y''=6x, y'(0)=2, y(0)=1

A: We will use method of separation of variables.

Q: Find the time it takes for $9,400 to double when invested at an annual interest rate of 13%,…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (-8x7) dx |

A: Let A=∫e^-X^8(-8X^7)dX        →  ∫X^n=X^(n+1)n+1

Q: Use reference angles to evaluate sec Enter the exact answers. For the number π, either choose from…

A: Important point to remember: All even multiples of π are equal to 0 or 2π. All odd multiples of π…

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Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Given, y"-4y=8e3t, y(0)=4, y'(0)=0

Q: Find the gradient of the function at the given point. Function Point f(x, y) (7,3) Vf(7, 3) = 15 2 x…

A: Please see the below picture for detailed solution.

Q: Consider the differential equation y'' + 6y' +9y = 0.

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Q: Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

A: As per our guideline we supposed to answer only first question  Given system dxdt=x-4y…

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Q: Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4…

A: The graph of the function is To determine: The domain and the range for the graph.

Q: 1 . For the function f(x,y) = 4x+4y+=+= find and identify the critical points as being local…

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Q: What is the equation of the tangent line to the curve of y = A 2x+9y+1=0 D. 9x+2y+1=0 B. 2x-9y-1=0…

A: Topic = Derivative Correct Option = C

Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

A: Concept: The line x=L is a vertical asymptote of the function y=14x-42x2+x-12, if the limit of the…

Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

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Q: 10. Use Laws of Logarithm to combine the expressions. (a) 2 ln(2) + 5 ln(x) − ½⁄In(x + 7) = (b) In(a…

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Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q:

A: We will find the required.

Q: This answer is incorrect. Please redo.

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Q: By the "end behavior" of a function we mean the behavior of its values as →∞o and a to-∞o. Do P(x) =…

A: P(x)=4x⁵-5x³+2x End behavior is determined by the degree of the polynomial and the leading…

Q: 1. The additive inverse of -10 = 2. Let DC R. xois an point of D, if each E-neighborhood K. (xo) of…

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Q: Find the first partial derivatives of f(x, y, z) = ~ arctan Caution: ay/bx and ay/(bx) are very…

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Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: The differential equation is given by f''x = x-32                                   ...........1 The…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=4…

A: Given query is to find the function.

Q: Given that f(x) = x² - 13x and g(x) = x + 13, find (a) (f + g)(-4)= (b) (f- g)(-4)= (c) (fg)( 1) (4)…

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Q: Find volume by revolving the given area about the y-axis using the shell method. Answer in terms of…

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Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: limx, y→0, 0xy2x2+y4along path x=0=lim0, y→0, 00· y202+y4=lim0, y→0, 00=0along path x=y2=limy2,…

Q: 0 Exercise 7 Limits The following graph of the function f satisfies limf(x) = 2 . For & = 3 find a…

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Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: Consider the function f(x): = You may use the facts that f'(x) = needed. x² x² + 4 a. Find the…

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Q: 2. Change the point (2,4,-4) from rectangular to cylindrical coordinates and spherical coordinates.

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Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=3…

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Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.