f(x) = / sinx cos x

Q: The recurrence relation a,= 6an-1 - 9a,n-2, with initial term ao=1 and a,=6 has a solution, which is…

A: We need to find solution of recurrence relation : an=6an-1-9an-2 with initial term a0=1 and a1=6

Q: Find the dimensions of a rectangle with a perimeter of 140 feet that has the maximum area. The side…

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Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Hi and thanks for the follow-up question.  I have checked the previous works again. They were…

Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

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Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

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Q: Given (x,y)=4xy−x4 −y4 −3 Find the relative maximum, relative minimum. and the saddle point of f (if…

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Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

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Q: 11.(Straightforward) Find a particular solution to each of these by using the method of variation of…

A: Since we are given with multiple number of subparts, answered according to the guideline

Q: The base of a three-dimensional figure is bound by the x-axis and the curve y = e on the interval…

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Q: 3x-4 Y = Arctan

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Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

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Q: Total differential. We have f (x, y) = ln (x² + y²) at the point (1, 2). %3D NO CALCULATOR. Evaluate…

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Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

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Q: Consider the following planes. Sx+ 6y -2= 66 x- 12y + 22 0 (a) Find the angle between the two…

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Q: y²dy Vy2+4 3.

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Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

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Q: (л/2, 1) (5л/2, 1) 10 (зл/2, —1) (7л/2, —1) -6- (4, 4) -4 2 4 8 (2,0) (6, 0) -2-

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Q: k(а-2)+ k(5а) B- If k(a) = -43a+2, find 3

A: The objective of the question is evaluate the value .

Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O…

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Q: (2 f" = c-1fi-1 + Cfi+ Cfu A. Find the coefficients of the following derivative %3D

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Q: Derive the derivative function for secx and express your answer in product form.

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given: y=x+6, y=x, y=0   From the given curve and lines the bounded region is as shown below; Now…

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

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Q: 1. Which of the following is the solution to the equation below? cos? æ + 3 cos a – 4 = 0 x = 1+…

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Q: [7 3 -5 Q1\ A- 1- if A = 0 4 and B= 3A;C = B+5I find matrix D such that 1 4 D= 2A+B-C

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Q: ) Find the y’’ (second derivative) of the following in its simplified form. Do not skip the steps…

A: This is a problem of differentiation of the function. Based on the general formula we will solve the…

Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

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Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Solution is here

Q: 3X-1 xp +4

A: Follow the procedure given below.

Q: Integrate the following using ~2 x+1 2. dx

A: ∫12x+1xx-1dx

Q: (a) A function f (x) is given as 1 x0 2x Evaluate lim f(x) numerically by constructing a table. (b)…

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Q: - ſ csc²e cot êī – 5 cot ê dê

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Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

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Q: ind a function F(x) satisfying the given conditions. . F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2)…

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Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: Water is pouring into a swimming pool. After t hours, there are 2t – yt gallons in the pool. At what…

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: 3x-4 1. Y= Arctan 4

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given

Q: Consider the following function. f(x) = 16 – x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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