Which if the following is a power series representation of the function - 1+x? f(x) = = +∞ Σ(-x" - x²+1) a. b. (x² + x²+1) +∞ in=

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given function is x9 - 9x

Q: What is lim x=inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^(3n)] + 2? (express answer as x,y)

A: Solve the following

Q: Use a surface integral to calculate the area of the disk S given by z = 5 − y that lies inside the…

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Q: Suppose f(x) = x² 11 (a) The rectangles in the graph A illustrate f(x) on the interval 4 ≤ x ≤ 8.…

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Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: f(x, y) = x³ - 9xy + y² - 2 smaller y-value critical point classification larger y-value critical…

A: The given function is fx,y=x3-9xy+y3-2 we have to find the critical points and its classification

Q: II. Consider the points P(1,0, 3) and Q(5, 2, -1) and the line 1: x = -7-2t y = t 2 = 9+t 1. Find…

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Q: Question 8 Find f'(a) for f(a) O f'(x) O f'(x) O f'(x) = O f'(x) O f'(x) cos - 1 cos? an cos - cos 2…

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

Q: y = x -1 and y2 = x + 1 Set up the limits of both iterated integrals (No evaluation!): ∫ ∫ f(x,y)…

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√√x. Find…

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Q: Consider the following function. y = 6x In(x) Find y'(x). y'(x) = Find y"(x). y"(x) = Find the…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: • . 19

A: the equation of ellipse is given  below

Q: Describe the graph of the equation. r = 17 costi + 6 sin tj-k O It is an ellipse in the x = 1 plane,…

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Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: Graph the level curves in the x-y plane the function f(x, y) = 2y- for z = -2,-1, 0, 1, and 2.

A: Given curve f(x,y)=2y-x23

Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

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Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 14t-t² (a) Find the…

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Q: Find the derivative of the function f. 3 √√x If your answer has a radical, express it as a rational…

A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

Q: Given the graph of f' below, which of the following is (are) true about f at x=a? (a) f is…

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Q: b B 34° Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

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Q: If two objects travel through space along two different curves, it is often important to know…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

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Q: Let f(x) = (x³ +25)/4. The arc length of the graph of y = f(x) over the interval [6, 10] is given by…

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Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

Q: Use the given graphs of the function f (left, in blue) and g (right, in red) to find the following…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

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Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: The solution is given below

Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

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Q: Given tha

A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

Q: -4 -2 ora y 8 6 4 2 -2 f(x) = |x| 2 4

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Q: If sec(x) 28 9 Give exact answers. sin(2x) = cos(2x) = tan(2x): = (in Quadrant 1), find Submit…

A: Given the query is to find the value of indicated angles.

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

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Q: Let D the region in the first octant bounded by the hyperbolas (xy= 1, xy = 3), and the two planes…

A: Given Data xy = 1 xy = 3 y = 2x y = 4x Z = 4

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Given z=x^3+xy^2,  x=uv^3+w^2,   y=u+ve^w then find: ∂z/∂u when u=−1, v=−2, w=0u=-1, v=-2, w=0

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Q: equa 5 itions all approach y = 4 = 5 5 4 a - Y as t →∞. dt

A: Topic:- application of integration

Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: Evaluate the integral [(4x + 15y)da + (6x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

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Q: A deposit of $9,000 is made in an account that earns 5% interest compounded quarterly. The balance…

A: The given data is: The balance in the account after n quarters is: An=90001.0125n

Q: 6. DETAILS ZILLDIFFEQMODAP11 4.5.045. Solve the given differential equation by undetermined…

A: To find out the solution of the differential equation by using the undetermined coefficients.

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: 2. sin x siny dy + cos x cos y dx = x² sin x cos y dx

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Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series