1) y= sin %3D 9. 3) y= 20 cos %3D 2. Find the common differe

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Q: Improper Integral. KINDLY EVALUATE and Identufy whether convergent or divergent

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Q: EXAMPLE 9 Evaluate the integral. In (dr SOLUTION We let u = In(x) because its differential du = dx/x…

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A: Using Euler's Method we have  xn = xn-1 + h  yn = yn-1 + h . f(xn-1, yn-1)  In the given question we…

Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

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Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

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Q: 9. 5+ 8 7- 6- 3 5 4 2 g(x) 2 h(x) 1 1 1 2 3 x-values 4 5 1 2 3 x-values 4 If f(x) = g(h(x)), then…

A: Explanation of the answer is as follows

Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

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Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

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Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

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A: We have to find maclaurian series

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A: answer is in next step

Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

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Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

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Q: Use series to approximate the value of the integral with an error of magnitude less than 10-8. 0.19…

A: We will use atleast 8 digits in every value which eventually lead to the error less than 10-8.

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

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Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

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Q: Determine if the function is a solution to the given differential equation. y = x In x + 6x + 5; y"…

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A: Solve the following

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Q: Find V x (V x F) if F(x, y, z) = 6xyj+2xyz k. V × (V × F)

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