3+ x2 ' Find the vertices of the rectangle with maximum area. Vertices = Enter your answers as a comma-separated list of ordered (x,y) pairs, e.g., (1,0),(8,0),(1,4),(8,4).

Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

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Q: _13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. A balloon is released from the ground 100 meters from an observer. The balloon rises directly…

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Q: Evaluate 3+x lim,→4 (c-4)(x+2) O +∞ O 1 8.

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Q: Find the first three nonzero terms in Maclaurin Series for each function

A: This is a problem related to series expansion. based on the general formula of maclaurin series we…

Q: Peaive marima and, minima, 4 any tar the funchno If there is not an answers write N/A Wde ms wefs as…

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Q: A plane P, in R'is perpendicular to the vector n = (6, 2, 8), and contains the point (– 9, – 1, –…

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Q: 10 dx J6 x² – 25 (a) the given integration limits (b) the limits obtained by trigonometric…

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Q: Evaluate: L7 3sin13 edx 512 1001 1024 1001 O 1024 1001 512 1001

A: Solution of given question is written in below steps.

Q: Find the inverse Laplace transform: 1 L-1 Is(s? + 1))

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Q: Solve following diffrential equation x(dy/dx)+6y=9x^2

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Q: Area of the polar graph

A: Topic:- geometry

Q: Consider the function f(x) = 9x + 4x-1. For this function there are four important intervals: (- 00,…

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Q: Describe the graph of the equation. r = 10 cos ti + 8 sin tj – k O It is an ellipse in the z = – 1…

A: Given that       r = 10 cost i + 8 sint j - k

Q: The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the…

A: Given: r→t = 310t-sin10ti→+31-costj→ We know the following rt  =…

Q: Describe the graph of the equation. r= 2 sin 4ri + 2 cos 4tj O t is a circle of radius 2 in the…

A: Given; r=2sin4t i+ 2cos4t j

Q: Let 7 (t) = < 5t? + 5, tª + 3t, In a. Determine the coordinates of the point on the curve traced out…

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Q: ||r(t) x r"(t)|| Use the formula k(t) = to find k(t). ||r"(t)||° r(t) = t'i+ t°j K(t) =L

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Q: Find the first four nonzero terms in the Maclaurin series for f(x). f(x) = e 5x sin x ... Choose the…

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Q: 3x + 4y – 5z= - 8 4x + y- z= - 14 x- 3y + 3z = - 10

A: answer is in next step

Q: A water tank is in the shape of an inverted cone. The height of the cone is 10 meters and the…

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 In n n +…

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Q: Find curl (9z i+ 10xj+ 2y k). curl (9z i+ 10x j + 2y k) = ( i Di + ( i j+ ( i )k

A: We have to find the curl

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: n2 series E(-1)"+1- converges or n3 +1 n=1

A: Given

Q: d'y Find dx? 2 y = (2а-3)? dy 48 dx? (2г - 3)" O dy -12 da? (2г- 3)" O d'y 12 dx? (2a-3) dy -8 da?…

A: y=2(2x-3)2

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 2xe³j – 3ek. - V·(V × F) =

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

A: Explained below

Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given query is to find the number of units to minimize the cost.

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Given that lim f(x) = 9 lim g(x) = -4 x 2 lim h(x) = 0, find each limit, if it exists. (If an answer…

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Q: t"(x) If t(x) = Vx find t'(x)' O -1/2x O 2x 1/2x -2x O None of these

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

A: Given:        ∮C7xydx+4xydy  Where C is the rectangle bounded by x=-1, x=2,y=1 and y=5  The formula…

Q: Find V (F x G), if F(x, y, z) = 11xi+j+13yk and G(x, y, z) = xi + yj – zk. %3D V. (F x G) =

A: Given,            Fx,y,z=11xi+j+13yk and Gx,y,z=xi+yj-zkTo find : ∇·F×G

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: emplicit differuntintion to find an Use equaton of 44 tangent line to yle graph of ve equation given…

A: The given equation,       arcsin4x+arcsin3y=π2,  28,26

Q: At which point will the plane 2x + 4y – 3z = -48 and the line given by the parametric equations x =…

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Q: Use logarithmic differentiation to find

A: answer is in next step

Q: The sum of digits of integer x is y . the sum of digits of y is z. find x if x+y+z = 60 step by…

A: Here we know that x,y,z are two-digit numbers since their sum is 60 and any two-digit number can be…

Q: Evaluate the integral / (6x + 18y)dx + (12x – y)dy along the parabolic arc y = r from (0,0) to (1,…

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Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

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Q: 2 Integrate | 20(5æ – 3)°dæ - – 2

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Q: x(4+ x²)!/3 dx

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Q: The surface S is parametrized by equations x = u + v, y = 3u?, z = u – v; The point P (2, 3, 0) lies…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: Find the general antiderivative, F(x), for the given functions. a) f(x)=-sin? xcosx b) f(x) =/7-2x

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Q: 1). Write and find the general solution of the differential equation that models the verbal…

A: According to the company rule we can answer only first question and rest can be reposted.