assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. When the plane is x miles away, what is the rate of change of θ

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 Pa(x) =

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

A: A function f is said to be continuous at some point a if the value of the function at that point is ...

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Q: Find the longer diagonal of a parallelogram having sides of lengths 10 and 15 and an angle measure 6...

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Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: (3+2 v5)(6 - 2 V5) (4 – V5) (a) Simplify giving your answer in the form a+bV5, where d integers.

A: In this question we have to solve the following question.

Q: Hanx sec" dx

A: As per Bartleby guideline,  only the first question has been answered. Please repost mentioning the ...

Q: Find the limits of the Follo CoS \im

A: Given query is to find the limit of the expression.

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A: Given query is to find the number of bacteria after indicated time.

Q: derivative of y= sin (arcsec(lnx))

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: A group of workers can plant at a rate of  10  acres per day. How many acres can they plant in  5 ...

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Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS    SOL 6,7

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Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1...

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Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...

A: Topic:- sequence and series

Q: 12 Find the resultant of two forces, one of 72 pounds and the other of 56 pounds, if they act at a ...

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Q: The graph of f(z) is given by {-1.4) (1, 4) (-1, –2) (5,-2) (3,-4) (-4, 5) Determine if f is continu...

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Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: inconclusive, then say so. 5* Σ 00 If p = + 0, enter "inty". i The series converges. The series dive...

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Q: Find y' for X= cos( sinx)

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Q: Q.2\Prove the Maclaurin series: In(1+ x) = En=1' (-1)"-1x" ,-1<x< 1 . %3D

A: f(x) = ln(1+x)f0(0) = 0f1(x) =f'(x) =11+xf1(0) =1f2(x) =f''(x) =-1(1+x)2f2(0) =-1f3(x) =f'''(x) =2(1...

Q: 8. A 1.25 acre lawn is to be sodded with 'Cavalier' zoysiagrass, which can be delivered at a cost of...

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Q: Evaldate the Fallewing integ rals; (1-Sin 2t) cos2 t d t

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Q: A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

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Q: x2-7 2. S dx х3-12х+16 9y+14 3. S (y-2)(y²+4) ay 4. S х3-х2+1 dx (x2+2х+2)2

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Q: The point P (2,1) lies on the ellipse 5æ²+ 6y? = c. Determine the value of c and write the point-slo...

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Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: Integrating by parts : ∫u.v dx =u∫v dx -∫(dudx∫vdx)dx ∫sec(ax) tan(ax) dx= 1asec(ax) +C ∫sec(ax) dx ...

Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

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Q: C. Determine the value of a and b that make the given function continuous. (Choose one) ax + b x1

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Q: Find the equation for a quadratic function that has horizontal intercepts at t = -2 and t = 5 and pa...

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: Find the indefinite integral. sin3 70 V cos 70 de

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Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

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Q: 12 ソ+) X +20 x + 20 y+30 1. 1.

A: 1/12 = 1/(x+20) + 1/(y+80) 1/5 = 1/(x+20)  + 1/(y+30) now 1/12 = 1/(x+20) + 1/(y+80) in this  1/(x+2...

Q: 1 S- -dx xx

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains m...

Q: dx x²Vx² – 49 FOTE: Enter the fully simplified answer with no fractions under the square root and wi...

A: We will find the integral. 

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x2 – 6xy + y3 = 24

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Topic:- sequence and series

Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: c) an (-1)" (4)" d) аn — 5 — п

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: Identify the problem whether a Permutation or Combination. Write the given of the problem and solve ...

A: Permutations and combinations

Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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