Find the area of the surface generated by revolving the curve = V¤ + 3, 4 < y <7

Q: cln /3 2e" Ve2a + 1 dx

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Q: Calculate the integral approximations T3 and Mg for dæ. Your answers must be accurate to 8 decimal p...

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Q: 4i S cosoxdx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: A ball is thrown downward with a speed of 19 ft/s from the top of a 361-foot-tall building. After t ...

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Q: Find the exact value of cos using cos(a - B): Hint: To calculate 71/12, select two fractions that wh...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s (t) = 3t – 10t...

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Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A: Topic:- trigonometry ratios

Q: Use any method to determine whether the series converge. 5 (a) E k=l Vk +1 This series cos () (b) > ...

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Q: dx sin (7x)[7-cot2(7x)]

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Q: imination of arbitrary constants = cjxe2* + cze¯*

A: Please refer to the image below

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall buil- After t seco...

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Q: Differentiating Implicitly Use implicit differentiation to find dy/dx in Exercises 1–14. 6. (3xy + 7...

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Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

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Q: 1. Consider the following polynomial function graph of f(x) (use the letters as a guide) a) State th...

A: Graph of the function is given, we have to find the required values

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A: We need to test convergence. NOTE - As per our guidelines we can solve only one question from multip...

Q: cos* (cos x) COS. dx CSc x

A: Given  ∫cos4cosxcscx dx

Q: In each part, evaluate the expression given thatf(5) = 9, g(5) = -1,f' (5) = 18, and g' (5) = -9. %3...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: Determine the limits of the following using the table of values. 4. lim vx3 - x x-2 5. lim x-0 x+1 x...

A: Please refer to the image below

Q: In Exercises 1–18, find dy/dx. cos x 1 + sin x 12. y = cos x 14. у — cos x

A: As per Bartleby's guidelines. we are allowed to solve only 1 question at a time. Apologies for the i...

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t- 15t m...

A: Solution: Here  s(t)=8t 3 - 15t

Q: Solve the defferential y(x)

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Q: Find the absolute maximum and absolute minimum values of f(x) = ! + In r, on [, e²].

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Q: 3 9. dx Jo

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Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the resul...

A: Integration

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 − 2...

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Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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Q: A normal line passes through a point P on the curve perpendicular to the line tangent to the curve a...

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Q: Frank was planning a 10-week bike riding trip through Europe. • He planned on taking $1,500 with him...

A: Trip amount

Q: rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels fr...

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Q: cos x dx sin? x cos 4.

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Q: Q1 Solve |+ 6| < 8.

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Q: he position of the particle at timet is given by s(t) =ť² – 4t + 3. The particle is moving from righ...

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Q: Solve: y" + 6y' + 9y = cos(3x) 1. Find yc 2. Find yp 3. General Solution

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Q: 2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f whic...

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Q: (s + 8)3J f(t) %3D

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Q: Find each derivative with respect to x: a) f(x)=16vx + 2.x3 25 1 1 +9x- 4n3 (No ne b) g(e)=(2+* +s)*...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: 15 12 Using this graph, for each of the following pairs of numbers decide which is larger. Be sure t...

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Q: Let X be a continuous random variable whose probability density function is given by the formula if ...

A: P(4≤x≤7) =∫4 7 p(x) dx                  =∫46x27 dx  +∫6723-2x27 dx

Q: Using Variation of parameters, find ui for the DE: y" – 2y' – 8y = 18e4* when Yc = Ce-2x + C2e4*. А....

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Q: 5. 3x2+x-1 SC x+2 3x2 3x2 + 5x + 9 In Ix+ 21+ C 2. -5x +9 In Ix+ 21+C 2. 3x2 D 3x2 9. 6. + 5x + +C 5...

A: Given: I=∫3x2+x-1x+2 We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn...

Q: Solve the following equation; domain 0osx < 360°; 3 cot x + V3 = 0 O 120 240 60 300

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Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: goond L ) - 6

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Q: sc 2x - cot 2x = 0 1 sec

A: We have csc2x-cot2x=?

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t ...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: The income from an established chain of laundromats is a continuous stream with its annual rate of f...

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Q: Evaluate the integral. 0.8 V 16 - 25x2

A: The given integral is  ∫00.8x216-25x2dx