3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

Q: Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

A: Solution of given question is written in below steps.

Q: Problem 2 Solve y" - 25 y = x ex

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Q: True or False: Suppose k is constant. Then 5 [² is equal to 10k. Select one: True O False kdx

A: Solve the given intregal

Q: True or False: The definite integral 2 1² is equal to Select one: True O False 2/₁² (2x + e*)dx xdx…

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Q: Consider the following graph on the interval - 360° < x < 45°: 360 -330-300 270-240 -210 -180 -150…

A: We have given a graph of function. And find to amplitude, period and function

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Q: Q5: Find the solution of the following D.Es: 1- x + 5y = x7 at x = +5y 2- y" + 4y + 2y = 13e³x 2, y…

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Q: Find the Maclaurin series of co E cos(x³). n=0

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Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: The slope of the tangent line to a curve is given by f'(x) = 7x² + 9x - 8. If the point (0,5) is on…

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Q: explain

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Q: answer = Σ n=0

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A: We have to choose correct option.

Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

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Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: x-1 0…

A: This question can be solved using the concept of lines in three dimensional geometry.

Q: A tenant dropped a spoon from the top floor of her apartment building and it fell according to the…

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Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: To find out the interval in which the function is increasing or positive.

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: Convert (5,2) to rectangular coordinates:

A: Given problem:- Convert (5, π/6) to rectangular coordinates:

Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: Find the sum of the series: n=0 x n!

A: We are asked to find the sum of the series.

Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: This is the approximate time right ? Making the no. of days from feb to aug into 30, by that logic…

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Q: The equation (x - 1)² + (y-4)² + (z − 3)² = 25. - is an equation of the sphere with center C(1,4,-3)…

A: NOTE: Refresh your page if you can't see any equations. . the given equation of sphere is

Q: Evaluate the ff (show all steps) Y x dx x ³ - 2x² - 2x - 4

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Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: 1. Stretching a spring A spring has a natural length of 10 in. An 800-lb force stretches the spring…

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Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: Solve 2 sin² (t) + sin(t) - 1 = 0 for all solutions 0 < t < 2π t = Give your answers as a list…

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Q: se series to evaluate the limit. 2 lim h→0 (sin h)/h- cos h h²

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Q: b = 2i + j + 3k 14 direction of a = Select one: O True O False is the unit vector in the 2i + j + 3k

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: To find the equation.

Q: Use the integral test to determine if series converges or diverges by solve Σ 11 ne 22 The series…

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Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: The Taylor series expansion of 2 |z| < 1 is (solve) Z-2¹ −(¹ + ² + ² + ² …..) X Option 2 O…

A: Taylor series

Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: We have to solve the differential equation.

Q: (a) [1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: 29 + i√/1159 6

A: We can convert the given complex number in fractional form to decimal form by calculating the square…

Q: y = 3 2 x²/3 + 1, 8 < x ≤ 1 (3)

A: The objective of the question is determine the length of the given curve.

Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English