Solve q1And q3 only 1.2.3.4.5.6.7.Determine the tangent line to the graph of 3(x+y)-100xy at the point (3,1).Find given sin(x)=2x+5.Find the slope of the tangentt lin to the ellipse x + 4y - 4at the point (1)At what rate (in cubic inches per second) is soda being sucked out of a cylindrical glassthat is 6 inches tall and has a radius of 2 inches given that the depth of the soda isdecreasing at a constant rate of 0.25 inches per second?A particle moves along the curve y=√1+x. As it reaches the point (2,3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the pointchanging at the instant?A spotlight on the ground shines on a vertical wall 12 m away. If a man 2 m tall walksfrom the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of hisshadow on the building decreasing when he is 4 m from the building?A water-skier skis over the ramp shown in the figure at a speed of 30 ft/sec. How fast isshe rising as she leaves theramp?15 ft4 ft

Since you have asked multiple questions in a single request we would be answering only the first…

Answered: 1. 2. Determine the tangent line to the…

Math

Calculus

1. 2. Determine the tangent line to the graph of 3(x+y)-100xy at the point (3,1) Find given sin(x)=2x+5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

Solve q1 And q3 only

1.
2.
3.
4.
5.
6.
7.
Determine the tangent line to the graph of 3(x+y)-100xy at the point (3,1).
Find given sin(x)=2x+5.
Find the slope of the tangent
t lin to the ellipse x + 4y - 4at the point (1)
At what rate (in cubic inches per second) is soda being sucked out of a cylindrical glass
that is 6 inches tall and has a radius of 2 inches given that the depth of the soda is
decreasing at a constant rate of 0.25 inches per second?
A particle moves along the curve y=√1+x. As it reaches the point (2,3), the y-
coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point
changing at the instant?
A spotlight on the ground shines on a vertical wall 12 m away. If a man 2 m tall walks
from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his
shadow on the building decreasing when he is 4 m from the building?
A water-skier skis over the ramp shown in the figure at a speed of 30 ft/sec. How fast is
she rising as she leaves the
ramp?
15 ft
4 ft

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