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A: First we take partial fraction then solve it.
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A: We have to find the solution
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A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant (9).…
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A: ddxlogax
Q: 3. The Bernoulli's form of the differential equation x³ydx+(3x¹-y³dy=0 is
A:
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A: Explanation of the answer is as follows
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A: Given problem:-
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A:
Q: A pendulum of length 10 cm has swung so is radian measure of the angle formed by the pendulum and a…
A: Follow the procedure given below.
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A:
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Q: Consider the following. y 2 y=4-x² (2.0), X 0.5 1.0 1.5 2.0 2.5 3.0 (a) Form the integral that…
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Q: Find the indefinite integral. (Use C for the constant of integration.) 1₁ sin 20 de
A: This question is based on indefinite integral.
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A: Greens theorm is varified.
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A: The first option is correct.
Q: s dx x+√2x+1
A: Let 2x+1=u ⇒dudx=12x+1 ⇒dx=2x+1du also x=u2-12 ∫dxx+2x+1=2∫uu2+2u-1du…
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A: The solution is given in the next step.
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A:
Q: The Smith's borrow $45,000 to purchase a new home. They finance the amount through a 25-yr mortgage…
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Q: x² - 1 dx 2 2 X²
A: We have to solve above question
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Q: ex csex ex
A: Use integration by parts formula.
Q: ind the area of the blue region. It is the area under the curve. y y = 3x+1 y=7-x 6 8 4 2 4 00
A: Follow next step
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Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…
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Q: f(x) = loga x
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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 ti + t²idt = 0
A: To evaluate: ∫012t i+t2jdt
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Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate the following integral using substitution rule or integration by…
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Q: Determine the general equation of this differential equation. xy³ dx + e*dy = 0
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Q: Two years ago, $5, 000.00 was placed into an investment in which the amount of money present, P,…
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Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5
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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…
A: Solution is done in step 2
Q: compute the surface area of example 9.10.2 by rotating f(x) = √x around the x-axis
A: Given
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Q: 2. 2 ydx + x(x² In y-1)dy=0
A: Solution is given below:
Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…
A: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…
Q: dx x√√x4 - 4 S
A:
Q: Match the vector field with its graph. F(x, y) = xi + 3yj 山供 得 三 -5+ 5 X 三 -5+ ||| 三 5 BE 州 X x
A:
Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is
A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.
Q: Evaluate the definite integral. (20ti+e-¹j+t kat
A:
Q: S COSA Sin 2X. C dx
A: We have to find integration
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- Find a power series representation for the function. f(x) = ln(9 − x) Then determine radius of convergenceFind the Taylor series for f(x) = sin (2x), centered at x=π/4 . Find the radii and interval of convergence. Write step by step.1)Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x) = ex, - 1 < x < 1 ***Solve using power and series (Fourier)(please)** answer: a) The periodic function is not continuous at ± π etc., so the convergence cannot be uniform.
- Find Taylor and Maclaurin Series for: f(x)= ln(1+x) {For Taylor Series take x about 1 and find interval of convergence for the Maclaurin Series}Find the power series representation for the function and determine the radius of convergence. f(x) = x2 ln (1 - x)Find Taylor series at x = 0 for the functions sin πx
- Find the taylor series of f(x) = sinh(x+1) centred at a = 1 find the interval of convergenceFind the Taylor series for f(x) = sin (2x) centered at x= π/4. Find the radius and interval of convergence. Write step by step.Find a power series representation for the function cot^-1 x. Find the radius of the convergence and the interval of convergence for your series
- determine the Taylor series about the point x0 for the given function. Also determine the radius of convergence of the series. 11.ln x, x0 = 11)Determine whether the Fourier series of the following functions converge uniformly or not. f(x) = x + |x|, −1 < x < 1; Solve using power and series (Fourier)(please) Note: Calculate ao ,an and bn Answer: Not convergeFind the radius of convergence R of the power seriesΣ∞ n=1 (x − 3)n 4n n. Then find itsinterval of convergence