02/21/22

use the definition of a derivative to find f ' (x)
use the definition of a derivative to find f ' (x)1.f(x)=√ x−62.f(x)= x+1/x
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02/21/22

the tunnel in a mountain has semi-elliptical arc
The tunnel in a mountain has semi-elliptical arch. If it has a major axis of 50 feet and a height at the center of 10 feet, how high is the arch from the ground at 17 feet from the center?
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02/21/22

Ceiling above the foci
A whispering gallery has a semielliptical ceiling that is 12 m high and 40 m long. How high is the ceiling above the two foci? (Will you please help me create an illustration, too? Thank you)
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02/21/22

definition of the derivative
For the function f(x)=x/(x-3)Use the definition of the derivative to find the value of f '(1)Write the equation of the line tangent to the curve at (1,f(1))
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02/21/22

What is the shortest length of the cable?
A steep mountain is inclined 64° from the horizontal and rises to a height of 3150 ft above the surrounding plain. A cable car is to be installed running from a point 890 ft from the base of the... more
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02/20/22

Find the Complementary and Supplementary angle
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02/20/22

Nonlinear Functions

Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to −4?A. y=x2−6B. y=x3−6C. y=|x|−6D. y=(x−6)2
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02/20/22

Nonlinear Functions

The graphs of the functions f(x) and g(x) are shown above. For which values of x in the range [−3,6] is g(x)>f(x)?A. −3<x<0B. −3<x<3C. 3<x<6D. 0<x<6
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02/20/22

Grade 11 Precalculus
The arch of a bridge is in the shape of a semi-ellipse, with its major axis at the water level. Suppose the arch is 40 ft high in the middle, and 160 ft across its major axis. How high above the wa... more
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02/20/22

Grade 11 Precalculus
A tunnel is in the shape of a parabola. The maximum height is 20 meters and it is 20 meters wide at the base. What is the vertical clearance 5 meters from the edge of the tunnel?
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02/20/22

1. Out of the blouse in her closet. Precious wants to choose five blouses to bring for an out of town trip. How many ways can she choose the blouses?
1. Out of the blouse in her closet. Precious wants to choose five blouses to bring for an out of town trip. How many ways can she choose the blouses?
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02/19/22

A kite's string is 25 feet long. The angle of elevation of the string of the kite is 32°. If a person is holding the string 3 feet above the ground, how high is the kite above the ground?
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02/19/22

An apple orchard now has 60 trees planted per hectare and the average yield is 500 apples per tree.
An apple orchard now has 60 trees planted per hectare and the average yield is 500 apples per tree. For each additional tree planted per hectare, the average yield per tree is reduced by... more
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02/19/22

Angles in a unit circle word problem (2)
In Grade 10 Mathematics, you learned already that the radian measure of a central angle of a circle can be used to easily find the length of the intercepted arc of the circle. The length s of an... more
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02/18/22

Can you name the quadrant in which the angle θ lies?
sin θ >0, cos θ <0 sin θ < 0, tan θ < 0 cos θ > 0, tan θ > 0 cos θ > 0, cot θ < 0
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02/18/22

math 1012 help math
ind the unit price in cents per diaper for each of the brands shown below. Round to the nearest tenth of a cent.Brand A: 20 Diapers, $6.99:  ¢ per diaper   Brand B: 45 Diapers, $11.99:  ¢ per... more
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02/18/22

Math 1012 Math help
The scale on a map is drawn so that 3.5 inches corresponds to an actual distance of 325 miles. If two cities are 8.25 inches apart on the map, how many miles apart are they? (Round to the nearest... more
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02/18/22

Jason bought a computer for$1,800.It was on sale for 20% off. What was the original price?
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02/18/22

4 times x plus 2 is at most -10
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02/18/22

4 times x plus 2 is at most -10
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02/17/22

Find an equation of the tangent line to the graph of the function f defined by the following equation at the indicated point. y^2 − x^2 = 9; (3, 3 root 2 )
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02/17/22

Geometry 10th grade
BD bisects <ABC. Solve for x and find m<ABC. m<ABD=3x+20, m<CBD=6x-16
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02/17/22

2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down
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02/17/22

Please help me with the answer!!!!!!
Find a cubic polynomial (that is, ) that has horizontal tangents at the points (-2,2) and (4,-4). = ...............Verify your result by plotting the graph of .
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02/16/22

given that (-3,-4) is on the graph of f (x), find the corresponding point for the function f ( -3/4 x )
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