Finding an Equation of a Tangent Line In Exercises 47-54, find an equation of the tangent line to the graph of the function at the given point. Then use a graphing utility to graph the function and the tangent line in the same viewing window. See Example 5.
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Chapter 2 Solutions
Calculus: An Applied Approach (MindTap Course List)
- ||A||=23 45° Find the EXACT components of the vector above using the angle shown.arrow_forwardGiven ƒ = (10, -10) and q = (-8, −7), find ||ƒ— q|| and dƒ-9. Give EXACT answers. You do NOT have to simplify your radicals!arrow_forwardFind a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have to simplify your radicals!arrow_forward
- Given g = (-5, 10) and u = (5, 2), find -4ğ - 6.arrow_forwardGiven the vector v→=⟨3,-5⟩, find the magnitude and angle in which the vector points (measured in radians counterclockwise from the positive x-axis and 0≤θ<2π). Round each decimal number to two places.arrow_forwardplease include radicals in answerarrow_forward
- 3 4/3 3213 + 8 for 1 ≤x≤8. Find the length of the curve y=xarrow_forwardGiven that the outward flux of a vector field through the sphere of radius r centered at the origin is 5(1 cos(2r)) sin(r), and D is the value of the divergence of the vector field at the origin, the value of sin (2D) is -0.998 0.616 0.963 0.486 0.835 -0.070 -0.668 -0.129arrow_forward10 The hypotenuse of a right triangle has one end at the origin and one end on the curve y = Express the area of the triangle as a function of x. A(x) =arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning