6. [Geogebra Question] The altitude (in metres) obtained by an object t seconds into flight is given by the function 385.474 h(t) = ( ; 0

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8 ...

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

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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

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

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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: 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: sin-"(ry) = cos-'(x – y)

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Q: Given: sin oa= and sin 8= , 0 < a < and 0 < B< Find cos(a - B): 33/65 63/65 14/65

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Q: If s(t) = 4t3 - 6t2 - 24t + 5, represent the position of a particle traveling along a horizontal lin...

A: options (E) is correct.

Q: PROBLEM 2. Solve for the general solution term by term of the ordinary differential equation given b...

A: Topic - differential equation 

Q: In Exercises 7–12, find the indicated derivatives. dr 8. if r= s - 252 + 3 ds

A: Topic:- derivatives

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

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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: Analyze and sketch the following curves. Indicate critical points and label your graph.

A: We will see the critical points of the function which will be the solution of Y'(x)=0.

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

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Q: The graph shows the megawatts of electricity used on one day in one city. 2500- 2400- 2300- 2200- 51...

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

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Q: x-2y+3 3. The differential equation is reduced to [homogenous or separable]. dx 2x+3y-4

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Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

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Q: The graph of a polynomial function is given. What is the smallest degree that the polynomial could h...

A: The given graph is:   What is the smallest degree that the polynomial function could have?

Q: IGITAL LIT. jaxo Multiplying and Dividing Rational Expressions: Mastery Test Drag the tiles to the c...

A: We have to find rational expression.

Q: Solve using variation of parameters: y" + 5y' + 4y = 2e¬* 1. Find yc 2. Find u1 & u2 3. Find yp

A: See the details solution in below

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

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Q: in the third quadrant, and x is in the fourth quadrant;

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Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

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Q: Find the local linear approximation L(x, y) to f(x, y) = x^3y^5 at P(2, 1) and simplify. (b) Find th...

A: Here, the given function is: f(x,y)=x3y5 and the given point is P(2,1).

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: %3D The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t3 –...

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Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

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

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Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

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Q: Solve for the general solution of the equation: y'=xy

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Q: y = c1x? + c2x + C3 + C2x + C3

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Q: Determine whether the series converges. 1 A V5k – 1 k=1 O The series converges. O The series diverge...

A: 1 ∑k=1+∞15k-13let f(x)=15x-13By integral test∫1∞15x-13=lima→+∞∫1a15x-13dx=lima→+∞∫1a(5x-1)-13dx=lima...

Q: Carry out the following steps. a. Verify that the given point lies on the curve. b. Determine an equ...

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Q: Evaluate: J, 16x²-5 1 arcsec |16| 1 V5 V5 14| V5 arcsec Option 3 none of the choices 14| 1 1 arcsec ...

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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: Finding an Indefinite Integral In Exercises 5-26, find the indefinite integral and check the result ...

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Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: frined the ivnlervels on which Revee Hincreasig and elecceesing 2)Confaveue emel Concave lown end he...

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Q: If s(t) = 4t3 – 6t² – 24t + 7, represent the position of a particle traveling along a horizontal lin...

A: Here is the solution

Q: H.W. 2 Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, ind, in the form x + iy: %3D...

A: z1 = -2+11i z2 = 2-i (z1 - z2)2/16 = (-2+11i -(2-i))2/16 = (-4 + 12i)2/16 = (16 -96i -144)/16 (z1 - ...

Q: = - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate tan 29 24/5 24/7 12/13

A: Here we will find tan2θ,

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4 E(-1)*+1...

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Q: Give an example of a vector space V over a field F, and of a linear transformation T: V → V that is:...

A: One home iff  f(x)=f(y) imply x=y Onto primage of x exist atleast one image

Q: If s(t) = 4t3 – 6ť² – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Let's find. 

Q: Determine whether ivergent.

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Q: Given h(x, y, z) = 4Vx+ ln (y² + z²+1). (a) Find the directional derivative of h at the point (1,0, ...

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Q: 2. Jenna is borowing $800 from her parents to buy a mountain bike. plans to pay them back at the rat...

A: Given: - Jenna is borrowing $800 from her parents to buy a mountain bike. She plans to pay them back...