differentiate using delta method y= x2-6x+8

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A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

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A: We know, ddtr1(t).r2(t)=r1(t).dr2(t)dt+r2(t)dr1(t)dtddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

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A: Given that the quadratic surface      x2+(y2/16)+(z2/64) = 1

Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

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Q: Solve the DE ý - y = x

A: See the details solution in below

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A: Using property of rational function,

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A: This question can be solved using the concept of differential equation.

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A: To find out the tangent line approximation.

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A: We have to find the Power series representation.

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Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

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Q: Consider the following. 5 - 10 5 -10 Find an equation for the hyperbola. Find the foci and…

A: Let's find.

Q: 6- Given the function below -(x+1) ²+7 X2

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Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

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Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [] (ON-OM) A ax ay for the…

A: Let's find.

Q: 6. 2x³ cot x4 dx 7. S x4 sec (x5 - 9) dx 8. Stan ³ x dx

A: We can solve this as follows:

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Given:        f(x) = 1/ ( 5 + x )

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Q: Do as indicated. 2. Use the Squeeze Theorem lim sin (sinh x)csch x. x-18 to evaluate

A: Given problem:-

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: The error in the approximation of a given series is always less than the last term that is used for…

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Q: (D²4)y= 8e²x - 12

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + = t³k (a) r'(t) (b) r"(t)…

A: Let's find.

Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder    V = πx2h        x = radius         Differentiate with respect…

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Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: 5. Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (1, 0, 0) to…

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Q: Q₂: Find the area of the region insid the circle v=1 and the Curve r= 2 sin@ (use double integral)

A: Given r=1 and  r=2 sinθ The formula to calculate the area of the region inside the circle is:…

Q: Evaluate 7664/7 [²² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A: We have to evaluate of given integral

Q: Use Green's Theorem to evaluate the line integral Jo (y - x)dx + (2x - y)dy for the given path. C: x…

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: Radius of Convergence of a Power Series. (n!)x" Determine the radius of convergence for the series…

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Q: evaluate the limit, do not use lhopital's rule 1-x+2x+7 limx→-x 2 V 9x +5 - 3x

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Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

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Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: Find n

Q: Find the value of d²y/dx² at the point defined by the given value of t. x = csc t, y = 2 cott, t = ○…

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Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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