Which series has an interval of convergence [-1, 1]? xk k 1. Σκακ kxk k=1 II. Σ A) I only C) Iand I onl III. = k=1 (B) III only Tol k=1 xrk k3

Q: Use the model for projectile motion, assuming there is no air resistance. Determine the maximum…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3 f(x)=6+31-2³. (A) Use interval notation to indicate where f(z) is increasing. Note: Use 'INF' for…

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Q: Suppose that f(x, y) = ²/3 on the domain D = {(z,y) |0 ≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double…

A: f(x, y) = e(x/y)       Where domain D = { (x,y) l 0 ≤ y ≤ 1 , 0 ≤  x ≤ y3 } Find the double intergal…

Q: Farmer Ed has 9,500 meters of fencing, and wants to enclose a rectangular plot that borders on a…

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Q: Solve the equation on the interval [0, 2π). 4sin2? = 1 − 4cos(2?)

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Q: The sum of three nonnegative numbers is 36, and one of the numbers is twice one of the other…

A: given sum of three nonnegative numbers is 36 one of the numbers is twice one of the other numbers…

Q: Suppose that the terminal point determined by t is the point (a) (x, y) = (b) -t -t (x, y) = ^)=([…

A: Point(8/17, 15/17).

Q: Use a linear approximation function L(x) to estimate f(4.1) given that f(4) = 6 and f′(4) = −2.…

A: f(4)=6 and f'(4)=-2

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $9 the…

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Q: 0.0 m 6.4 m 2.0 m 7.4 m 7.0 m 6.1 m 5.2 m 5.0 m 5.1 m 0.0 m

A: From figure : Length of the pool = 16m and, divide it into eight parts of length 2 meters

Q: (2) Σ ( + 2) 3 (k+

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Q: zy² z²+1 Round your answer to four decimal places. Find -dA, R= [0,3] × [-4,4]

A: Given that ∬xy2x2+1dA,  R=[0,3] x [-4,4] applying double integration   ∬xy2x2+1dA=∫03xx2+1y33-44dx…

Q: Consider the function f(x)= x³ ln(7x), defined for a > 0. (a) Find the only critical number for this…

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Q: A page that is x inches wide and y inches high contains 32 square inches of print. The margins at…

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Q: Find the length of the curve: r(t) = i + 14tj + 7t4k over the interval [1,5].

A: We need to find length of curve.

Q: dy dx −4ex+8, y(−8) = 4

A: given differential equation is :-dydx=-4ex+8       and   y (-8) =4then we have to solve it

Q: Graph the function y = x4 - 15x² = x²(x²-15) by identifying the domain and any symmetries, finding…

A: Domain÷ It is the set of possible values of x where function is defined.

Q: Solve f(x) = g(x). What are the points of intersection of the graphs of the two functions? f(x) =…

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Q: A certain escalator travels at a speed of 13.5 meters per minute, and its angle of inclination is…

A: A certain escalator travels at a speed of 13.5 meter per minute  its angle of inclination is 28.7°…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 9x³…

A: We have to find asymptotes.

Q: Consider the function in the graph to the right. The function has a relative maximum of at x = The…

A: Consider the function in the graph given below. To determine where the relative maximum and…

Q: = = Ca R be the shaded region in closed by the graphs of ex²-1, and the y-ax igure at right. culator…

A: y=ex-1y-1+sinx

Q: 4 3 2 a 155 + To find the blue shaded area above, we would calculate: [ f(x) dx = area Where: f(x) =

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Q: this is actually precalculus, and it says its from graphs of the sine and cosine functions. a…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: Evaluate the given integral by making an appropriate change of variables, where R is the…

A: We have to evaluate the given integral by making an appropriate change of variables.

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold,…

A: Here the marginal revenue function R'x=0.03x2-0.06x+162

Q: Convert the point (x, y, z) = (4, 1, 5) to spherical coordinates. -

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Q: Let F(t) = Find a parametric equation of the line tangent to r(t) at the point (13, 126, 12.425)

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Q: 2. (a) Verify that all members of the family y = 2x³ + Cx-³ are solutions to the differential eq…

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Q: Consider the function f(x) = 2x² − 8x + 5, 0≤ x ≤ 9. The absolute maximum of f(x) (on the given…

A: First find critical points by f'( x ) = 0  Given function f( x ) = 2x2 - 8x + 5

Q: Find the curvature of the curve r(t) = (cos(2t), sin(2t), 2t) at the point t = 0 Give your answer to…

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Q: Determine the absolute maximum value of on [0, 2π]. f(x) = sin² (x) - cos(x)

A: Consider the function. f(x)=sin²(x)-cos(x)

Q: The marginal revenue from selling x cameras is 165 - 0.06x dollars per camera. Find the revenue…

A: given marginal revenue is 165-0.06x given R(0)=0

Q: Calculate the volume of the solid obtained if the plane region R bounded by y=x and x= 4y - y2 is…

A: Region R bounded by y=x and x=4y-y2

Q: Use Separation of Variables to find the general solution. 2 (1 + x²) y = x³y (Express numbers in…

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Q: Approximate the area under the curve graphed below from x approximation with 5 subdivisions. 4 3 2 3…

A: We are given with the graph  we need to find the area using left endpoint approximation

Q: Find the length of the curve (t) = (2 cos (4t), 2 sin (4t), 4t) for -7 ≤ t ≤4 Give your answer to…

A: r→(t)=<2cos(4t),2sin(4t),4t>  from -7≤t≤4length of curve is L=∫ab1+(r→'(t))2dt

Q: x is cross product

A: Given, let f,g:R→R3 be differentiable functions. The derivative of their vector cross product is…

Q: LARCALCET7 4.7.025. 0/6 Submissions Used ASK YOUR TEACHER A rectangle is bounded by the x-axis and…

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Q: What is the second portion to the question ?

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Q: Match the statements defined below with the letters labeling their equivalent expressions. 1. In(ry)…

A: Part 1,           lnxyPart 2,           lnxyPart 3,           lnxyPart 4,           lnyx

Q: A small country is comprised of four states, A, B, C, and D. The population of each state, in…

A: The Hamilton Method sets the divisor as the proportion of the total population per house seat. After…

Q: sot agovno Find all numbers x for which the power series (A) 3' 3 converges. 3k k=0 1912 (B) [-1, 1]…

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Q: 9. A loan grows over time using continuous compounded interest. of money owed after t years is given…

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Q: Find the equation of the tangent line at x = 1 for f(x) = ln(x) + 2x².

A: The slope of the tangent line to the given curve is equal to the derivative of the function at the…

Q: A company that makes creepy dolls has found that their profit is given by the equation P=10q+4q² −…

A: Given profit function P = 10q + 4q2 - 300Where profit in dollars for q hundred creepy dolls produced…

Q: f" (x)= x(x-1)²(x + 2)³ g" (x) = x(x - 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The…

A: For any function R(x), At its inflection point, R''(x) = 0 Therefore, at the inflection points of…

Q: Determine the directional derivative of f(x,y) = x³ + x cos(3y) at (1,0) in the direction of (3, 4).

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