Find the general Solution For D-E Sin2x dx - 3¹² cos ²x dy = 3y³ 2 =O

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A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1<r<1∑n=1∞a⋅rn−1=a1−r

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A: The definite integral  can be written in a limited form on the interval [a,b] as

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: Consider the curve 5x² - 3xy + 3y³ = 768. (a) Find an expression for y'. y' = (b) P(12,-2) is on…

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Q: Express the limit as an integral. S 4 lim (7(x)² - 2(x ) ³)Ax over [0, 4] n→ ∞ i = 1 2 3 7x²-x³ x)…

A: An integral of a function f(x) in the interval [a,b] represents the area between f(x) and…

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Q: Write an integral in the form A = the area of the region. Answers should be exact. As a suggestion,…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

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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: b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 4 sin x on…

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Q: Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Particular values for the function f(x) are given in the table below. X f(x) 0 46 2 Use the table to…

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Q: Find the orthogonal trajectories of the family of curves y² = kx³

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Q: * Find the general solution of: dy dx XsinX = -

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Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

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Q: Evaluate the integral by interpreting it in terms of areas. L² (3x-14) de Part 1 of 3 We are…

A: To evaluate the following integral by interpreting in terms of areas.

Q: Given that f(x)=4x-16 where f(x)=y define a function rule for f^-1. which of the following are…

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Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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

A: The given differential equation is

Q: . The derivative, f', of a function f is plotted below. At approximately what value of x does f…

A: The derivative, f′, of a function f is plotted below. At approximately what value of x does f reach…

Q: f(x) = 3x - 2 Submit multiple values as a comma-separated list. Do not round any value. C=

A: Given function F(x) = x2/(3x-2) on (1,2)

Q: Do the following. (Round your answers to four decimal places.) (a) Estimate the area under the graph…

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Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: Evaluate the integral by interpreting it in terms of areas. 4 [3₁ |x| dx

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Q: Find the general Solution of: 2² dy dx = x² x e

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Q: 1 x + 1 rectangles and right endpoints as sample points. Rn 0.6345 Estimate the area under the graph…

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Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE c) d) y" +10y' + 25y = 0…

A: c) y''+10y'+25y=0d) 4y''+16y'+17y=0

Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: Use Newtons Method to find the third approximation -x3, for the root of f(x)= x^3-x^2-1=0 Hint is…

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Q: Verify that the hypotheses of Rolle's Theorem are satisfied for fx √(x)= this interval that…

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Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

Q: Determine if Find the limil if the sequence converges. 5-5n an 4 + Sn the sequence [an] converges or…

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Q: Find the general Solution For D. E X dy dx +3y = Sinx x2

A: The given differential equation