Evaluate the following using trigonometric substitution: Vx2 - 4 dx

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: 8

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Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth (p...

A: Given problem:- A rectangular package to be sent by a postal service can have a maximum combined len...

Q: o be 66 centimeters, with a possible error of 0.9 centimeter.

A: answer of given question is in step2 

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

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Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks ...

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Q: Use the compound interest formula to compute the balance in the following account after the stated p...

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Q: If a particle is moving with the given data a(t) = 10 sin t +3 cos t, s(0) = 1, v(2n) = –4 Then the ...

A: Given that at=10sint+3cost  ,s0=1,      v2π=-4To find : the position function stSolution :we know th...

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the...

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Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: 200 If 1 + 5e-0.5t 50, solve for t. t =

A: We can solve for 't' . Firstly multiply denominator term by Right hand side term and simplify . lne...

Q: Solve (D5 – D4 + 4D³ – 4D²) y = 32 cos (2x) – 20e *

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: This question can be solved as per the instruction given.

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

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Q: Find the lim(-). 4 x→2x-2 x2-4 3/4 None of these O 1/4 O undefined

A: We have find lim above question 

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: e 2t Given that y, (t) = cos t is a solution to y"-y' +y = sin t and y, (t) = is a solution to y" -y...

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile i...

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

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Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

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Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

A: I am attaching image so that you understand each and every step.

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 9 –...

A: Given:   f(x,y) = 9 - 7√(x2 + y2 )

Q: 1. we have to evaluate the following integrals 4 dy de a. How did he get the value inside the circle...

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Q: 0 if x V2. Prove or disprove that f is continuous.

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of pyrami...

Q: 1. Determine if the series cos" () en? n=1 is absolutely convergent, conditionally convergent, or di...

A: Given series ∑n=1∞ cosn1nen2

Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y4...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A: Solution is here

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,...

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly repo...

Q: can you show me how to do

A: We will find the limits from rhe graph. 

Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

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Q: a man who is standing 5 meters above a shoreline is pulling up a boat that is 12 meters away from th...

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Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

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Q: 16 – x? Evaluate lim x--4 x+ -8 does not exist O None of these

A: topic - limits

Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

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Q: 2n (b) E ens n=1

A: Find the limit of the given equation at infinity

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: xdx 2x +3 a) Í b) s2*-2x-4 dx c) 2x' + 6x? +4x - dx x + 2x – 3 х2-1

A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you...

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: Compute f'(a) algebraically for the given value of a. HINT [See Examples 1 and 3.] f(x) = -; a = 2 f...

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Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your answe...

A: Solution is written in below steps.