determine the solution of the differential equation

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A: To find the critical point and the interval on which the given function is increasing or decreasing,…

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A: Given query is to find the integral.

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A: given  cos(x)=45 and x is in fourth quadrant tanx=sinx cosxsin2x+cos2x=1in fourth quadrant tanx and…

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A: You have Asked only Qustion no. 6, 6. According to question,Given Differential equation,dydx + Px y…

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A: Explanation of the answer is as follows

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A: We have to solve Given limits.

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A: The speed of a particle in a test laboratory was noted every second for 3 seconds.The results are…

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Q: 2) Suppose h(x) is continuous everywhere it is defined and that the domain of h is {x|xER, x + 1}.…

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A: sn=∑n=1∞ lnnn+3=∑n=1∞…

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A: Solve the following

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A: we need to convert the given rectangular coordinate into polar coordinate.

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A: Solution 5) Start with the geometric series 1/(1 - t) = sum(k=0 to infinity) t^k. This has radius of…

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A: a)   f(x)=4x2x+3for domain,    x+3≠0

Q: QUESTION 6 Calculate the Riemann sum R(f, P, C) for the function f(x) = x, partition P = 1, 1.5,…

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Q: - Cars are entering a parking lot at a rate of 7 cars in the first minute, 10 cars in the second…

A: According to question,Given data,Car Entering in First Minute = 7 cars,Car Entering in Second Minute…

Q: (b) Suppose i. ii. [² f(t) f(t) dt = = 1 and g(t) dt AS 4f(t)- 3g(t) + 6 dt √g(t) g(t) dt = -2. Find…

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Q: Let A, B ⊂R. Prove that (A ∩B)′ ⊂A′ ∩B′. (Recall that A′ is the set of limit points of A). b. Give…

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Q: Tutorial Exercise Find the derivative. Step 1 The given function y = In -In (4+) can be written as y…

A: Given query is to find the derivative.

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A: Let's find Taylor series and error.

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A: We will find the required.

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A: Given Position vector:- Rt=4costi+4sintj+6tk

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A: As we know that arc length = ∫ab1 + ( dydx )2dxGiven y = 4x + 1 varies from 0 to 2

Q: Find a formula for the general term anan of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term of the sequence assuming the pattern of the first few terms…

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Q: Can you please evaluate part IV and V? Can part b and c also be completed?

A: We have find the integral of  4) ∫x4 exdx5) ∫x5 exdx

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A: NOTE: Refresh your page if you can't see any equations. . here we have u=5 and v=9 so the point…

Q: Find the polar coordinates, 0 ≤0 < 2x and r20, of the following points given in Cartesian…

A: Given cartesian coordinate:- 2,2 -43,4 -2,-23

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of I f(x) = [*²₂ √t²³ +4³dt…

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Q: 5) Using the graph of f (2) below, evaluate the following limits. a) lim f (x) = £2 -7 -6 -5 -4 -3…

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Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

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Q: 6. Solve the following Euler's equations: (a) x²y" +5xy' + 4y = 0 (b) x²y" - xy + 3y = 0

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Q: Given the point (4,1) in rectangular coordinates, find the polar coordinates of the point where r >…

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Q: Evaluate the indefinite integral. x + 3 1² + 6x + 10 dz

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Q: this question is supposed to be 1/2 and 0 as a definite integral on the sigma not 1/20

A: The given integral is ∫012sin(πx) dx We have to find the value of the integral .

Q: 7. Convert the points from polar to rectangular. Plot all points on the same graph and label each…

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Q: Find the absolute and local maximum and minimum 1 X 0 < x < 2 2x 4 2 ≤ x ≤ 3 values of f(x) = {2 If…

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Q: Q- If the velocity divergence at a particular point and time is 3 m/sec and the rate of change of…

A: Given: if the velocity divergence at a particular point and time is 3m/sec and the rate of the…

Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

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Q: QUESTION 1 - Evaluate the following integral: 10r² + 81 − 8 dt 40 40/3 80 80/3 0

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Q: [(2x- +6) (x² + 6x + 7)²dx by making the substitutionu = x² + 6x + 7. + C NOTE: Your answer should…

A: Given query is to find the value of the integral.

Q: what is the difference between a power series and the series?

A: series:        The word series as used in mathematics means an infinite sum. For example, the…