7 For AABC, you are given m2C = 39°, mZB = 44°, a = 30ст. Find c. 17.9 cm 16 cm 19 cm 22 сm Previous

Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.

Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). 13 9ts r(t) = e"i+etj K(t) :

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Q: d d Calculate ri(t) · r2(t)] and dt x r2(t)] first by differentiating dt the product directly and…

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Q: Answer the following questions for the function f(x) = x/x? + 1 defined on the interval – 5 <x < 7.…

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Q: 4. Show that y=e²* sin 3x satisfies the equation: y" – 4y' + 13y = 0 %3D

A: Topic = Differential equation

Q: (8x + 4x)v4x² + 8 – 24x³ – 32x If f(x) = (/4x2 + 8 - x*) then f'(x) = 4r2 +8

A: f(x) = (4x2 +8 - x2 )2 f'(x) = (24x2 +8 - 2x2)(8x/(24x2 +8)  -2x ) f'(x) = ((24x2 +8 - 2x2)(4x -…

Q: 12. The demand function for 66 piece Tinkertoy set is D(q) 750 and the supply q+1 function for…

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Q: Find div F and curl F if F(x, y, z) = 13y°2°i – 13x³z1°j – 5xy'k. ,5 „10; 6 „6: - div F= curl F=

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Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: FH is perpendicular to AC In the figure, AC is diameter. If EF = 3 and FG = 2. Find GH. E G EH is…

A: Similar triangles: Similar triangles are triangles with the same shape but different sizes. Similar…

Q: for the N(0) is it 0k? or can I write it just k?

A: Yes, N0=-12i+12j+0k.

Q: Find div F and curl F if F(x, y, z) = xz°i +2y°xj+62

A: Given: Fx,y,z=xz6i+2y8x2j+6z2yk

Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

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Q: Evaluate the definite integral. 12t dt O el2 – 1 (e-) - 1) + 2 – 1 i - (e" - 1) j +k 12 O el2 12 O…

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Q: Evaluate the definite integral. i +e´j+tk )dt O e 7 – 1 e17 - (e-' – 1) + - (e~) - 1) j + k 17 O el7…

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Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown below. What is the value of g'…

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Q: dr Let A be the area of a circle with radius r. If dt dA = 2, find dt when r = 5.

A: Given :drdt=2r=5

Q: Let y=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

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Q: Colleen's office equipment is depreciating at a rate of 9% per year. She paid $24,500 for it in…

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Q: 1. The approximate value of -31.8 using linear approximation O -2.0025 O None of the choices O…

A: Ni

Q: Consider the following. z = x2 + y2, x = 4s + 8t, y = s +t az az and as Find by using the chain…

A: Here, the given functions are: z=x2+y2, x=4s+8t, y=s+t So, z is a function of x and y and x and y…

Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: tdt 1-t4

A: Topic = Integration

Q: x-1 dx (x+1)5(x-3)5

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Q: Find the divergence of the vector field F. F(x, y) 4xe*i 6x²y?j

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Q: S(1 + tanx)² dx

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Q: 5. This problem will walk you through using integration to find the formula for an area of a circle:…

A: equation of circle  x^2+y^2=1 y^2=1-x^2 y=±1-x2 according to question circle lies only 1 quadrant so…

Q: F'e) × r"(t)|| Use the formula x(t) = to find k(t). r(t) = 8 cos(7t)i + 8 sin(7t)j + 3tk K(t)

A: r(t)=8 cos7t i +8 sin7t j +3t kr'(t)=-56 sin7t i +56 cos7t j +3…

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||³ r(t) = t’i+ t°j K(t) :

A: We have to find the value of k(t)

Q: Consider F and C below. F(x, y, z) = (y²z + 2xz2)i + 2xyzj + (xy² + 2x²z) k, C: x = Vt, y =t + 8, z…

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Q: Using (sin x) = cos x and (cos x) = – sin r dr dr Show that # (cot x) = - csc² x dr

A: We need to show that ddx(cot x) = -csc2 x Given ddx(sin x) = cos x and ddx(cos x) = -sin x

Q: Integrate the following problems. Show all your work. 9. S(10xt – 5x3 + 3x)dx

A: Please refer to the image below

Q: Find the value of the series: 1+2" 3n-1

A: We have to find sum of series.

Q: Find V x (V x F) if F(x, y, z) = 2:xyj+ 9xyz k. V × (V × F) %|

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Q: Evaluate the limit 5+ 9x lim 1+00 3 – 4x

A: Given problem:-

Q: Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x)…

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Q: Evaluate the limit using L'Hospital's rule ez – 1 lim z+0 sin(82)

A: Here I have appended the formula used in the solution part.

Q: Find r'(t). r(t) = (tan (6t))i+t cos(t)j – Vik I| NOTE: Enter your answer in terms of i, j, and k.…

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Q: Find div F and curl F if F(x, y, z) = xz°i + 2y°r*j+ 6z*yk. div F=2° + 16 y' x+ 12 zy curl F=

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Q: what is the exact answer

A: The exact answer was the second last line of the original solution.  So, the exact answer is:…

Q: Answer the following True or False: Let f(x) be a differentiable function, such that f(– 1) = - 5…

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Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

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Q: Describe the graph of the equation. r = 14 sin 17t i – 14 cos 17t j O It is a circle of radius 14 in…

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Q: d d Calculate r1(t) · r2(t)] and dt ri(t) × r2(t)] first by differentiating dt the product directly…

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Q: short

A: Please refer to the image below

Q: show

A: As per the guidelines we can solve 3 parts only.

Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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Q: We want to fenca in a ne slide b up againd a lacae building and Idbesn't noedh fancing rechanguler…

A: This question can be solved using the concept of maxima or minima.

Q: All edges of a cube are expanding at a rate of 3 cm per second. How fast is the volume changing when…

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Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)