Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10) log (3r2)

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A: To determine whether the given statement is True or False.∫-99ax3+bx2+cx dx=2b∫09x2 dx where a, b…

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Q: Which among the following is false for getting the derivative of an implicit function? O Another way…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: Find y': y = ar cos

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: 10 8 10 f (x) dr=17 and f (x) dr = 12, then f (x) dx=5. A True B False

A: we use the properties of definite integral

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Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

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Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

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Q: Find div F and curl F if F(x, y, z) = 13y'z4i – 16x4z10j – 3xy'k. - - div F= curl F=

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Q: Find the derivative of the function: y = In e+2*+1 Oy = x"[(2x(ln x + 1) + 1] y = x*(2 + x + x² In…

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Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

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Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

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Q: sin 201/1+ 2 sin 0/cos? 0 (sec² 0 – 1) d0 1. |

A: To find the following antiderivative.∫sin 2θ1+2 sin θcos2 θ sec2 θ-1 dθ

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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: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

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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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Q: ( (am (39) + ce (39) sin (39) - ar (3) dy 3y)) sin² (3y) – tan² (3y)|

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Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: sin(ry), Which of the following is TRUE for lim(z,1)>(0,0) Lütfen birini seçin: a.The limit value is…

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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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Q: 2- find fxx and fyy for f(x, y) = x²sin?y

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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