Which of the following is NOT a separable equation? Select one: O dy dx xy dy = xe4 dx O None. dy = xy dx dy = x + y? dx

Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: 1) Calculate 21+v3i

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Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: The graph of a function is given. Use the graph to find the indicated limit and function value, or…

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Q: * ifr = 8 sece then the cartesian equation is

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Q: The following telescoping series 1 sin-1 sin -1 n + 1 n=1 converges to 3 converges to= the above the…

A: Given problem:-

Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

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Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: 24. Find the volume formed by rotating about the y -axis the region enclosed by: x = 9y and y3 = x…

A: Here, the curves are x=y3 & x=9y. Now, the points of intersections are at: y3=9y⇒y=0,3   because…

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: Moving to another question will save this response. uèstion 4 Consider this function: y=-5 sin(3x +…

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Q: can you say about the series a, in each of the following cases? |an+1 lim n- c0 (a) an absolutely…

A: We have to find the convergent test

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t – 120t2, where t…

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Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

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Q: 1, g(z) VI+1 find the domains of (fg)(r) and (4)(). Is 3. If f(r) = VT (f9)() = V-1?(20 p) %3D Hinti…

A: Find your answer below

Q: a If f is an odd function, why is f(x) dx = 0? a U A. a Since f is odd, f is symmetric about the…

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Q: x²-4 dx 2. XV xvx²-9

A: ∫1x2+a2 dx =1a tan-1xa+C.

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b). If the…

A: We have to check if Mean value theorem can be applied or not.

Q: ne area A of a circle is increasing at a rate of 167 cm² /s. Find the rate of ne radius r of a…

A: We have to find change in radius

Q: dy y = 5x is a solution to the differential equation: da Select one: O True O False

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Q: testonvergence and divergene h.

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Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation.…

A: First we shall factor and find roots of quadratic equation then figure out intervals in which…

Q: Test the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) (-1)"-1…

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Q: Test the series for convergence or divergence. 3 3 3 11 3 3 10 12 13 O convergent O divergent

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Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

A: Topic = Integration

Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: Question 3 1-. a) [. following series -): : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent…

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Q: Solve this equation: sin 2x = V3 for 0sx< 2T There are four solutions. You must give your answers in…

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Q: Find the derivative of f (x) = 1+ er e* A. ex+1 C.E (e*+1)² E. None of these В. ex+1 D. (1+ e*)²…

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Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: 1. Find two sets of polar coordinates for (x, y) = (-V3,1, one with r> 0 and one with r< 0, both…

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Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

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Q: Question 17 Write the vector v in terms of i and j whose magnitude Iv and direction angle 0 are…

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Q: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: 3 of 7 f(x) = {x - 2, *5 3 x+4, %3D is continuous everywhere. x > 3 O false O true

A: Given query is to find function continue or not

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

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Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

A: Given query is to find the Indicated time.

Q: 9

A: We will find the difference coefficient.