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Q: Determine whether the definite integral converges or diverges and evaluate it if it's convergent im...

A: ∫0∞ xx+1dx

Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

A: integration by substitution method 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

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Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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Q: Using Integral or comparison test, determine if the series is converging or diverging. +00 nyn n² + ...

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Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

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Q: u = 2i + 3j + k v = i+j+ 4k w = i+ 3j + 8k

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: use second derivaictive to find derivaitve 1 Crihalralues -3 and I (-a3) V(I, I'ntervals ofinerease ...

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Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: 7. Find all solutions to the equation sin r = –0.7 with -1 <I < 10. 8. Find the equation of one of t...

A: Topic:- derivatives and equation of line 

Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: dr ei+ 3t'j dt 9. Solve the following vector initial value problems: r(0) = 2i – 8j

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Q: 2. 5x 2 -4 [4, o) )(-00, 1] or [4, o) D[1, 4] )(-0∞, 1]

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Q: つC 人ny dy de //ヶ。 1 = 1. 1.

A: solution:-∫12∫1xln yxydy dx=∫12∫1xln yxydy dx=∫12ln y22x1x dx=∫12ln x22x-ln 122x dx=∫12ln x22x dx=ln...

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: Use the First Derivative Test to find relative (local) maxi points, if any, of the given functions. ...

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Q: Give a recursive definition for each of the following. (You don't need to prove your definitions are...

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Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: Find the general solution to this homogeneous equation using the auxiliary equation method y”+ 4y’ +...

A: The given differential equation is  y''+4y'+8y=0.

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: The marketing research department for a computer company used a large city to test market the firm's...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: 1 x?g* dx. -1

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Q: 6. f Vesx + etx dx

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Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: Given query is to find the cost of prducing x cards.

Q: Let bn and Cn for all n e N such that n > 2. Determine whether the given n = COS = COS n – 1 series ...

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: (1 point) Evaluate the iterated integral by converting to polar coordinates. NOTE: When typing your ...

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Q: 3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x ...

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: vas y dS

A: Use simple integration formula.

Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular ...

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0 ...(1)fy=8xy-2x2y-3xy2fy=08xy-2x2y-3xy2=...

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: function fo - SX+2X-! Four impurtaut, intervals: (-0,A). (AB) (BC) ond (c) where A and C are critica...

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Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

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Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

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Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

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