(d) 5 (-1)" Vn +1 n=1 1 (e) Σ- nylnn n=2 n (f) 2 In Зп + 1 n=1

Q: If 21 f(x)dx 9 - 55 and 21 g(x)dx = 30 – 55 and – 21 | h(x)dx = 35 55 what does the following integr...

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Q: 9. * Tan 5 dA

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Q: 5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile...

A: Solution ) dv/dt = 25 ft3/ sec  h = d/4  d = 4h  [ d = r/2 ] r/2 = 4h  r = 2 × 4h  r = 8h  h = 5 fee...

Q: Find the area of the shaded region. y-2 y- 2áin(rox)

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Q: 1. Point K is located at (4. 2, 0. 3)and point Lis located at (5. 8, -0.6). What is the location of ...

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Q: For the given cost function C(r) = 72900 + 600x + x² find: a) The cost at the production level 1000 ...

A: The given cost function is C(x)=72900+600x+x2               Note: The expert is supposed to answer t...

Q: The line that passes through the point (4, –2, 0) and parallel to the vector (1, 2, –3) has symmetri...

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Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +...

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Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

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Q: 2 sin (3x) d%

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Q: 8. lim xcot3x

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Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: cosx sec? x+ cos x csc² csc² x csc² x secx cos x cos x If f(x) * , then f f (x)dx_ 1 cos x

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Q: (d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" si...

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Q: Graph the functions in Exercises. of the function on the interval and say where they occur. . Then f...

A: 73. hx = x+2-x-3-∞<x<∞ “Since you have asked multiple question, we will solve the first questi...

Q: 14. f(x) 1/x, a = -3

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Q: Find the indicated partial derivative: dy \ y + 4x ду

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Q: dr de 3 cos2 (플-0),r(0) =D1 8

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Q: 3. (2x – y)3 = 3x?y, find y' %3D

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Q: Determine whether the lines given by the symmetric equations x - 1 y - 2 z - 3 %3D 2 3 4 and x +1 y ...

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Q: 4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home t...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: 1 dx 1 + 3x x2

A: Given query is to find value of the integral.

Q: 4 6 8 10 12 14 16 18 20 22 24 3. TV-VIEWING PATTERNS The following graph shows the per- centage of U...

A: As we know rate of changecan be calculate by formula           = Rise/Run

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

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Q: (2y° + xy }tx + (x*y² – 2}ty = 0 Integrating factors found by inspection: %3D

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Q: 5. Show that, in the region bounded by y = Vx and y = x2 the following double integral 3 (х + у) dA ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: By using the fact that the volume of a tetrahedron with adjacent edges given by the vector u,vand w ...

Q: Determine whether u and v are orthogonal, parallel, or neither. u = j+ 2k v = i - 6j – k O parallel ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Follow step 2nd . 

Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2          x...

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y², (3...

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Q: -3. 3) to the curve given by f(x) =

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Q: y csc 3y? cot 3y² dy

A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.   x2+x...

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP: -120x + 30y + 120z...

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Q: .

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Q: 5. (2xy² – 1)* – 3x²y³ – 1 = 0, find y' -

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Q: Let R be the region bounded by the functions f(x) = 3x² – 11 and g(x) = 1 as shown in the diagram be...

A: Let R be the region bounded by the functions fx=3x2-11 and gx=1 as shown in the diagram below.To fin...

Q: Pat made the substitution x – 4 = 5 sint in an integral and integrated to obtain f (x) dx = 12t – 2 ...

A: integrate

Q: Consider the Venn Diagram below. A В 49 35 17 37 n(A) = n(AU B)

A: We will draw the vein diagram for each part.

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Explanation of the answer is as follows

Q: Find the component form ofu + v given the lengths of u and v and the angles that u and v make with t...

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Q: For the given cost function C(x) 36100 + 700x + x², First, find the average cost function. Use it to...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: The manager of a company that produces graphing calculators determines that the price of each calcul...

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Q: 1 L (s- 4)6 J

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Q: 10. у%3D V2x+1

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Q: ÔM ÔN 4. In the differential equation (y -x – 4x -1dy+2y(x+ y+2)dx = 0,

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Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions