Solve the following integration :- 3 S sin³x Sin³x cośx dx

Q: Find a function f(x) such that f'(x) = − 5eª + 3x and ƒ(0) : = f(x) = - 1

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Q: Find and classify all singular points of the differential equation. (2-x)(1 + x)² y" - 3(1+x) y' +…

A: General form of second order linear equation is :-

Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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Q: ƒ (x) = 2 cos(x) + 4 sin(x), 0 ≤ x ≤ 2π

A: To find the absolute maximum or minimum value of the given function.

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A: The given equation

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Q: Tutorial Exercise Consider the given function. f(x) = c² +8 Evaluate the Riemann sum for 0 ≤ x ≤ 2,…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: Rewrite the given scalar equation as a first-order system in normal form. Express the system in the…

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Q: Verify that the hypotheses of Rolle's Theorem are satisfied for f(x) = x² - 8x + 12 on the interval…

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Q: Multiply both sides by x²(x + 1) and combine like terms. Ax(x + 1) + B(x + 1) + Cx² 9x - 1 A = = X…

A: The equation is given by:-

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Q: Use Newton's method to approximate a root of the equation 2x³ +5x + 1 = 0 as follows. Let x₁= 2 be…

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Q: Why is multiplication and division of rational expressions easier to calculate than addition and…

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Q: The integral √x dx evaluates to

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Q: From the list below, select the values of x for which f'(x) > 0. 2 -1 None of the listed x values -3…

A: Given graph of function

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Q: Consider the following. u =(4,-1,0) v = (-8, 9, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: Question 9 Find the exact length of the curve. x = 3t², y = 2t³; 0 ≤ t ≤ 2 Show all steps clearly.

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Q: Using the graph of g 'shown below and the fact that g(0) = 150, find the coordinates of all the…

A: We have given a graph of g'(x) and the initial value of function g( 0)=150.We have to find the…

Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: Compute the line integral [(x+y)dx-xdy, where C is the arc of the parabola y = x² +1 that goes from…

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Q: 2. In poker, a straight flush is five cards in sequence that are all the same suit. For example, A,…

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Q: Use substitution to find the Taylor series at x = 0 of the function In (1+5x9). What is the general…

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Q: dy dx general Solution of :- 3+2 tan x e Sec X

A: dy/dx = e3+2tanxx

Q: The BelgeGauffre company builds an ice cream cone from a round waffle of radius 10cm. They start by…

A: The given figure

Q: Use Green's Theorem to evaluate the following integral, f (et² +24y³3) dx + (2y² - 24x³) dy where C…

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Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a = 14 b = 28…

A: Note as per guidelines we support only three subparts of the question.kindly repost next in next…

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: The given function is The linear approximation at  is The quadratic approximation at  is

Q: Question 4.32) Use the Squeeze Theorem to compute the following limits. Show all your steps. 3.x A)…

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Q: Find horizontal asymptotes A) y = f(x)= x+3x-5 2x² + 3x³

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Q: Step 4 of 6 We now need the coordinates of a point on the tangent line. Find the y-coordinate of the…

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Q: g. Σ. (3) n2 in=1 72

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Q: Tutorial Exercise Write the given expression as a single integral in the following form. [₁1 (2) dx…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = 2 In (x), a = 1

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

A: Given: To Find: To determine the bacteria population after 5 days.

Q: Question 4.11) Compute the following limits at infinity. A) lim D) lim Chapter 4: LIMITS (SECOND…

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Q: 0. Find the volume of the resulting solid if the region under the curve y = 1 x² + 3x + 2 from x = 0…

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Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

Q: A sports watch has a price-demand equation given by p = D(x) = 50.2-0.0567142x dollars, which gives…

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Q: Find the general Solution of :- - dy dx = 3 Sin 2x Cos 2X

A: The given differential equation is

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