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Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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the exercise is in the attached image

Find the function f(t) that satisfies the following integral equation
the equation is in the attached image
I u°6-(u)f(t – u)du = [' H=(u)
u - T

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Compute the first and second derivatives of the functions using the numerical equations. Solve the derivatives using backward, forward and central difference equations considering 3 and 5points.Use a step size h=0.25.
Solve. derivative
Compute the first and second derivatives of the functions using the numerical equations. Solve the derivatives using backward, forward and central difference equations considering 3 and 5points.Use a step size h=0.25. #3 y = tan (x/3) at x = 3
Use implicit differentiation to find at the point (-2,3) on the curve dx2 x + y° = 19.
2) Find the derivatives a) y = 7 - 6x-x² b) y = √³/ 8 = Jx of 18/18
Let r be a positive real number. The equation for a circle of radius r whose center is the origin is x² + y² = r². dy (a) Use implicit differentiation to determine dx (b) Let (a,b) be a point on the circle with a + 0 and b # 0. Determine the slope of the line tangent to the circle at the point (a, b). (c) Prove that the radius of the circle to the point (a, b) is perpendicular to the line tangent to the circle at the point (a, b). Hint: Two lines (neither of which is horizontal) are perpendicular if and only if the products of their slopes is equal to –1.
• For the curve xy + x²y – xy² = 1, use implicit differentiation to find the equations of the tangent lines corresponding to the two points with x = -1.

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