Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D parallel to 2Ã-3Ē

Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

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Q: A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and...

A: Ans= 2.62 inches/minute. For detail go through the solutions

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x + h) - f(x) %3D h

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Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+ h)-f(x) .... The d...

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Q: Consider the following system of linear equations. 5x+ 20y=-10 -6x-28y=12 Solve the system by comple...

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Q: Suppose that the functions fand g are defined as follows. f(x) = -5x²+1 g (x) = /x+3 Find f-g and f....

A: (f-g)(x)=f(x)-g(x)(f-g)(x)=-5x2+1-x+3Domain x+3≥0x≥-3Domain of f-g : x∈[-3,∞)

Q: 1- (3x3 + 2y)dx + (2x In x +) dy = 0 %3D

A: As per our company guidelines we are supposed to answer only the first question. Kindly repost the o...

Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: Atone com emony cae phone plan tr2500. indudes 0 i pan2 pe mee tdn mi The ting tucon ges the atly t ...

A: The function representing monthly cost for a subscriber C(x)=25.000≤x≤35025.00+0.25x-350x>350 x i...

Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chai...

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Q: 1 17. dx .2 + 4x + 5

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Q: 2 dr 4. (x-1)

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Q: Find the partial derivatives of the function -lz + 2y 2 + 2y f(z, y) = S-(E, y) = fy(z,y) =

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Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct fl...

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Q: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t + 224...

A: To find: The maximum height. Given information: The height of an object launched in the air t second...

Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your answer...

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Q: tan (x) sec" (x)dæ

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Q: 4. Family of curves defined by the equation y = e*+c 5. Family of plane curves defined by the equati...

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Q: 12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the wa...

A: Here we will use the concept of pressure applied on the parabolic surface. Based on the given formul...

Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: A company plans to manufacture a rectangular container with a square base, an open top, and a volume...

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Q: 1. (a) Plot the first four terms of the sequence 3n2 — Зп + 2 2 n=1 (b) (i) Write in bracket notatio...

A: Please see the below picture for detailed solution. 

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the b...

A: see below the answer and explanation

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Determine whether the improper integral diverges or converges. dx e6x + e-6x converges O diverges Ev...

A: The given integral,       ∫0∞1e6x+e-6xdx

Q: I did all steps just need help figuring out “The ball’s velocity at the above time is”

A: Please see the below picture for detailed solution. 

Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: Find the critical numbers of the function f(x) = 2x3-15x2+36x - 24. %3D O a -2 and3 O b. 2 and 3 Oc....

A: Topic = Algebra & Derivative

Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: Correct. Determine whether the series converges. 1 Vk +9 O The series converges. The series diverges...

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Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)>0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)< ...

Q: Find dy/dx by implicit differentiation. (sin Tx + cos ny)3 = 58 dy/dx = Need Help? Read It

A: Find your answer below 

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A: Average value of account  during the first four years will be

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the...

A: Find your answer below 

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: consider the following.  e^-5x=8 a) find the exact solution of the exponential equation in terms o...

A: topic  -  exponential equation e-5x   =  8taking natural log both sides ln(e-5x  )    =  ln(8)-5x  l...

Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of...

A: We have to solve the question.

Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo (2n...

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Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the point (T/3, 4). Wr...

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Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the ...

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Q: Differentiate the function. f(x) = log1,(x7 + 1) %3D f'(x) = %3D

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Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5

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Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices (separ...

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.