√x + 4 In(9-x) Determine where f(x) is continuous, algebraically. (Enter your answer using interval notation.) f(x) is continuous on [-4,9) Let f(x) = X

Q: Find the Maclaurin series for the given function. 1 X-5 Ο Α. - Σ n=0 8 Ο Β. - Σ n = 0 Oc. Σ Σ n = 0…

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Q: 15-28 Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and…

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Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

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Q: Determine the vector, parametric, and symmetric equations of the line passing through the point A(7,…

A: Given:We are required to find:

Q: Find the limit, if it exists. (If an answer does not exist, enter DN x² + y² 0 lim (x, y) → (0, 0) X…

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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: The first image does not load

A: First part is solved in the first image. So, solving the part a for the first image.Given:

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: (3) Compute the value of Ay and the value of dy for the function below; f(x). Let the variable x go…

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Q: Integrate the function f over the given region. 1 f(x,y) = over the square 3 ≤x≤6, 3≤y≤6 xy

A: over the square     taking x as constant

Q: Compute two fully factored derivatives and determine the exact coordinates of any points of…

A: To compute two factored derivatives and to determine the exact coordinates of any points of…

Q: K Evaluate the double integral over the given region. 1 (x + 1)(y + 1) SS R 1 In 5 OA. OB. In 5 In 3…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an 11 9 13…

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Q: a. SET-UP only the definite integral using disk/washer method that will give the volume of the solid…

A: To set-up only the definite integral by using disc/washer method that will give the volume of the…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 5ex - 5yex…

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Q: 5. Given a = 47 - 7k in R³, determine a) a in component form b) la (exact value)

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Q: Find of/ox and af/ay. f(x,y)=3x3 Зу ?x af ду 11

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Q: Determine whether the alternating series converges. 5 ln k k Σ( -1)*. k=3

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Q: 1. Describe in words the region of R³ represented by the equation or inequalitie (a) -1<r<5

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Q: b. Then use • fff(x,y) dx dy = fff(g(u.v) h(u,v))| J(u.v) du dv to transform the integral dy dx into…

A: Region G: By using the transformation  to transform the integral  into an integral over G and to…

Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: 1 x(ln(x))² L e dx

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Q: 37. 78 - 49 343 + 64 512 25 5 - 3 2401 4096 9 + ... 27

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit s $10…

A: We have to use the given information for solving the sub-parts

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

Q: Use the quadratic formula to solve for x. 5x²-7x-2-0 (If there is more than one solution, separate…

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Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². + 543-2…

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Q: 5. A certain computer that is purchased today depreciates in value according to the function (t) =…

A: we will solve this given problem:

Q: Determine the area of the region bounded by the graphs of x = y², x = y³, y = 2.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: A school's Phys Ed department is selling activewear to raise money for new equipment. They are…

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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Q: A region bounded by fly) = y, f(y) = 6 - y, and x = 1 is shown below. Find the volume of the solid…

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Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

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Q: Solve the given system of equations. Sy=11x + 20 y=-2+11x O (1,-1) no solution O (1,1) O (2, 2)

A: When, (Ratio of coefficient of x )=( ratio of coefficient of y)≠(ratio of constant terms)then,…

Q: 4. Let = and (a) Find 7+7 and 27-37. Write the result both in terms of components and standard…

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Q: Simplify the expression. 4x* (9x³-5) O 13x² - 20x¹ 36x² - 20x* O 36x¹2 -5 O 13x³ - x

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Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Evaluate the integral. π/4 1² tan (0) sec²(0) de 0

A: Given

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to…

A: Explanation of the answer is as follows

Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

Q: A region bounded by fly) = -y² + 4 and x = 1 is shown below. Find the volume of the solid formed by…

A: A region bounded by  and  is shown below. To find the volume of the solid formed by revolving the…

Q: on the interval [0, 2π). Find all solutions to sin(x + =) = sin(x − −) -

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Q: 8. Consider the vectors u, and w. If 2ū= [2, -2, -6], [-1, 1, 2], and W = [-1, 1, -1] find the exact…

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Q: do no.6 pls and pls show work

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Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

Q: a) Find a vector equation of the line through the point (1,5,8) that is perpendicular to the plane…

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Q: a) Sketch the graph for the following Functions. 2= 3-2x-6y Z= 3-2х-бу

A: So, solving the question 3(a).Given function,