Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Converges Additional contont

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A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

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Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

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Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

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Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

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Q: DO NOT include spaces in between characters. * Find an equation of the tangent line to the graph of ...

A: Given query is to find the equation of the tangent.

Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 12 ...

A: function is not differential at point where either its not differentiable or it has sharp point on c...

Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

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Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: 1. Below is the graph of f(x) = |x]. Using the right side of the function with the equation y =x, co...

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Q: y = f VI + t? dt Y : 0. t2 dt

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Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: Show that lim Vn = 1. n-00

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Q: Is the sequence {=converges? If it converges, find its limit.

A: This is a problem related to series calculation. By using the several method we will identify the na...

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A: Given

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Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

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Q: Evaluate the definite integral 7 (182 – 2x + 9) dæ 3

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Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: nsider the parallelepiped with adjacent edges u = 6i + 7j +k v = i+j+5k w = i+ 7j + 9k d the volume.

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Q: 3x 2 dx 2x*-1

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

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Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0...

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Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: Find the indefinite integrals: x5/2 + 4x +1 a) / 2 + Te' ) dt t3 6t +

A: We know that ∫xn dx = xn+1n+1+C         n≠-1 ∫1x dx = lnx+C

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and i...

Q: 3. +4 Use the ehain rule to find devinitine

A: Here we have, y=x2-22x3+44 Differentiate with respect to x,   

Q: Given F(x)=2f(xr)-8(x) and fS-1) = 2, f'(-1) = 3,9(-1) = -5,g'(-1) = 4, find F'(-1). %3D %3D

A: The detailed solution is given below Thank you 

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: 12.4(1-3n) – 2n = -20 - 6n

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