V4-3x, if xs-4 g(x) = 16 げx>-4 a) lim g(x) = b) lim g(x) = c) lim g(x) =, x-4 x-4 x-4*

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A: leta1=2-8=1+1-1+7a2=3-9=2+1-2+7

Q: A POPULATION OF INSECTS GROWS THERE Wtrt 170 INECTS AFTER THE THIRD DAY EXPONENTIALLY. OF THE EXPERI...

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Q: Q#5. Evaluate the surface integral [| f(x,y.-)dS When f(x, y, z) = 3xyz and o is the portion of the ...

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A: We need to solve D.E.

Q: 3x Find dx -if y 2х-1 3 1 1 а. (2х-1)2 b. (2х-1)2 (2х-1)2 d. (2х-1)2

A: Given that: y=3x2x-1

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Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. 1 n + 3 1 n + 2 n=1 (U...

A: The given series is  ∑n=1∞ 1n+2-1n+3

Q: 4 -2 2. a

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Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: 1 2. If f(x) = and g(x) = , then lim [f(x) - g(x)] equals х2 -х X-1 x→1+ а. -1 b. 1 C. -00 d. 0

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Q: 3. f(x) = v2 – x at x = 1

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Evaluate the limit. lim x+0+

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Q: separation of variables and evaluate the DE cosx/dx+1/ydy

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Q: representing all lines passing thru (-1,1)

A: We will find the equation of line passing through the (-1,1).Below find the solution in the image.

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A: We are asked to find the rate of change of the demand function and also find the rate of change when...

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Q: 1. y= (1/3)x-(1/2)x² - 2x 2. y (x2 + 2)2

A: SEE THE GRAPH GIVEN BELOW.

Q: Determine C when x-y%3D0 (xy + x)dx = (x²y² + z² + } + 1)dy O C=0 O C=1 O C-1 O None of the Choices ...

A: Given:- (xy + x) dx = (x2 y2 + x2 + y2 + 1)  dy To find:-  When x=y=0 then find C

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A: The given series is: ∑k=0∞ 56k+3

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

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Q: 1-cos 7x lim ズ→0 2x

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

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Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

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Q: Evaluate: mod 13= -19 div 7

A: Find your answer below 

Q: Which of the following is logically equivalent to (uvb-vd_)A(uL b- v d) Auv b- v d) A (L vbv d)Auvbv...

A: Given logical statement is p∧q∧r ∨ p∧q∧¬r ∨ p∧¬q∧r ∨ p∧¬q∧¬r ∨ ¬p∧¬q∧r

Q: B. Evaluate the following lim 1. lim log x

A: Given: limx→12logx

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A: Note :- This is multiple subparts question. And according to our company guideline we can do maximum...

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Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

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Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

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Q: ind the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider ...

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Q: 1) Sketch the graph and test the symmetry of the following : r =10

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Q: 00 nx n+3 n=0 3D0

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Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

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A: Given that: cosxdx+1ydy=0

Q: 3 PROBLEM 2:f(x) at (-1,3) x+2

A: topic - slope of a tangent line

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: Differentiate the given algebraic function 1. y = 2x3 – 7x +1 - -1 2. y = x 2 2. y = x2- 4x 3. y = (...

A: Solution: 1. y=2x3-7x+1

Q: 5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

A: Given:- Differential equation (3x2-2x) dx+(x3ey-siny)dy=0 To Find:- The given D.E is Exact because ∂...

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Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4 Sin...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.