You want a linearization that will rep subsequent work as simple as possib which the function and its derivative 16) f(x)=√√x, x0 = 3.9

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Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

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Q: 9) What is the monthly payment for a 170,000 at 7.25: per annum ) mortgage of amortized for 20 years

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A: Topic:- application of algebra

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Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

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Q: Find the limit. Enter DNE if the limit does not exist. x²y lim (z,y) → (0,0) x² + 7y²

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Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: дх 5 + 2¹(1² 1 -)dt

A: To find the derivative

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

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Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √y+3 lim (x,y)→(9,6) x-y-3 x+y+3

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Q: Use the ratio test to find the radius of convergence of the power series R= ✓ (If the radius is…

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: (a) Find the polar representation(s) of the following point written in Cartesian coordi- nates: (x,…

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Q: Express the limit as a definite integral on the given interval LC lim Exi In(2 + x?) Δx, [0,1] i=1…

A: Please see the below answer.

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Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

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Q: +x •1. K clear Given that sin = 0.72 find sin 20

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Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution of the following differential equation.D2-2D+2y=-8 cos 3x+24…

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Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

Q: Find

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Q: Find the derivative. 10) y = 8x-2-9x3 + 2x

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Q: Giving that f(x) = 4x + 4 3 Find: a) F(3) b) f(-5) c) F (-2) J) F (1) e) f (0) 2 X 3 -3≤x≤0 X>0

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…