f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e. f.

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A: We have to find the radius of convergence R for the given series…

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

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Q: 9y²dy 1+ y*

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Q: 3x+4x-2x+8 a) h(x)= b) g(x)= 5x" – 3x + 12x² +1 x*-16 HA HA VA VA SA SA 2x +7x-11 2-9 2x'-x + x-1 c)…

A: We have to use properties of asymptote to solve the problem

Q: Find the general solution of the differential equation y" + 3y' – 18y = -66t + 36t?. NOTE: Use t as…

A:

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

A:

Q: 4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of…

A:

Q: How 2 Find the absalute maxima and minima for the funcfion f(x,y) 48xy-32 x - 2u yen the…

A: Find value at critical point and end points.

Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: 3- 4- f Cx,y) = 2 Lux +Lny-4X-y

A:

Q: 3) f (x) = 2 x2 + 4000/x +10 a)Find the derivative . b)Find the critical number(s), if any.

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Q: 1 Зех [e2n* + 23c] dx

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Q: Find fx , fy and fz. 1 -1 f(x, y, z) = tan %3D \xy²z4, ().

A: Here we will find Fx,Fy,Fz;

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

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Q: of

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Vector lies in the same plane if their scalar triple product is zero

Q: complete and detailed solution using techniques of variation

A: Given,            ∫dy1+y+13

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 7) v = (sin(0),…

A:

Q: 2. The function g(x) is defined for -3 sx< 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Solution is here

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: dy Solve the following differential equation: x+ y = 4x dx

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Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

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Q: 4 1 |x²ydxdy 4. 2 0

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Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: Find the limit of s(n) asn→ 0, 4 s(n) = n3 n(n + 1)(2n + 1) 8

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Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given,            fx=-0.002x2+3.2x-60To find : Find the absolute extrema of the function.

Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: Sales of a Product The total number of units of a new product sold t months after its introduction…

A: see below the answer and explanation

Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

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Q: (x+1)* 40. k! k=0 IM:

A: The given power series      ∑k=0∞x+1kk!

Q: Given (x,y)=4xy−x4 −y4 −3 Find the relative maximum, relative minimum. and the saddle point of f (if…

A: