x+4 5. S #dx

Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

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Q: Inn E-1 n2 =2

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty + ...

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Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: Use the sum and difference identities to simplify the expression. sin(-75)

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Q: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

A: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

Q: Using f(x) = In(3 – 2x), list the Maclaurin series expansion (e.g., f(O)x, f(1)x, f(2)x,f(m)x and f(...

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Q: Find a formula for the nth term of the arithmetic sequence. a1=1, d=5 an=

A: The first term of the arithmetic sequence, a1 = 1 Common difference, d = 5 Formula : an = a1+n-1d To...

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2...

A: a) By using telescoping series test, the given series converges.   b) By applying Series Ratio test,...

Q: . Use the Chain Rule to show that if 0 is measured in degrees, then werl d (sin 0) = de T cos 0 180 ...

A: Topic:- application of derivatives

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Q: You are given the following parametric curve x = Vt- 1. y = Vt+2. Which one of the option below repr...

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Q: satellite is moving in an elliptical orbit about a planet. The equation of its planar orbit is 3x? -...

A: Given query is to find the velocity in x direction.

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line....

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Q: II. Find the equation of a line passing through (-3,5) with slope II. Find the equation of a line pa...

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Q: Find the vertical asymptotes of the rational function. g(x) = 5x x +6 x = -6 x = 5 x = 6 none

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Q: Watch help video Given the function f(x) = 3x – 18x², determine all intervals on which f is both inc...

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Q: 3sin(x) lim tan(2x)

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Q: Find the critical point/s of the function f(x,y) x³+2xy-2x-4y

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: x+3,if x2

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Q: dx Assume that x= x(t) and y y(t). Let y=? •1 and D2 when x 3. dt dy Find when x=3 dt (Simplity your...

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Q: Statement Equation X and inversely as cube of W. z = KM³N the product of r and t and inversely as W ...

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Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: 00 (-1)"+l2nx" n² + 3 n=1

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Q: Polyno (-x6+ x5+7x2 -9) / (x4)

A: Devide each term

Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: (-1)"+l2nx" n2 +3 Determine the interval of convergence of n=1

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Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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Q: Q1/ sketch the region bounded by the curves. Then express the region's area as an iterated double in...

A: We have to sketch the region and find the area by using double integral.

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: Which of the following would represent the equation of the graph that passes through the point (8, 9...

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Q: 4. If f(x) = sin x, find f' (x) %3D Find f'(4)

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Q: Calculate the arc length of y = 8x + 1 over the interval (0, 10].

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Q: a) Kindly find out if this series is whether convergent or divergent. b)Explain and justify the answ...

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Q: Let e =, f(x,y) = 3x°y-4xy°+ ay-4x at (3,4) in the dire ction given by the angle. Find the direction...

A: Solution is written in below steps.

Q: +00 1 9n? – 18n + 8 n=1

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Q: Catalyst Portal Welcome, James.. University of Cinci. O FBI NICS Sports South Lipsey's O YouTube () ...

A: Given query is to find the demand at price of $19  

Q: +00 2" Use an appropriate test to determine if the series converges or diverges. n+ en n=1

A: Here we have to use appropriate tests to determine if the series ∑n=1∞2nn+en converges or diverges. ...

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: Mary needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can bor...

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Q: a The value of an investment account has a doubling time of 13 years and $35,000 was originally depo...

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Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: Write the first five terms of the arithmetic sequence. a4=20, a10=32

A: Given query is to find first five terms of the arithmetic sequence.

Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) d...

A: Given query is to find the indicated derivative.

Q: Consider vector u. Find the angle 0 E [0, 27) that vector u makes with the positive direction of the...

A: Given:-u=92i-92jux=92uy=-92θ∈[0, 2π)

Q: Use the Chain Rule to show that if 0 is measured in degrees, then d (sin 0) = de TT cos 0 180

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