09/22/23

One to one function
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09/22/23

One to one function
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09/22/23

One to one function
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09/22/23

Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.
y = (√3) x + 2 cos(x), 0 ≤ x < 2𝜋Find a derivative y'Set y' = 0 and solve for xx1 = (smaller x-value)x2 = (larger x-value)Find the y values by substituting the values from Step 2 into the... more
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09/22/23

The surface area of S of a sphere of radius r is given by S(r)=4πr2. Explain why, in the given context S(r) has an inverse function.

The surface area of S of a sphere of radius r is given by S(r)=4πr2. Explain why, in the given context S(r) has an inverse function. Identify the correct explanation. S(r) is linear and must have... more
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09/22/23

Calculus 2 question, Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = x^9/5 about the x-axis over the interval [1,5].
Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = x^9/5 about the x-axis over the interval [1,5].
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09/22/23

Multiplying/Dividing Rational Expressions
Evaluate x2−2x−3 / x-3. when x=−2
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09/22/23

For each statement below, explain why it must be True, or provide a counterexample to show that it can be False.
For each statement below, explain why it must be True, or provide a counterexample to show that it can be False.(Note: 𝑓 is a function from ℝ to ℝ .)(a) If 𝑓 is even... more
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09/22/23

Show the Steps for (sec 𝜃 + tan 𝜃)(sec 𝜃 − tan 𝜃) = 1.
Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝜃 < 𝜋/2).(sec 𝜃 + tan 𝜃)(sec 𝜃 − tan 𝜃) = 1
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09/21/23

Fill in the left side of this equilibrium constant equation
Fill in the left side of this equilibrium constant equation for the reaction of phosphoric acid (H3PO4) with water.__ = Ka
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09/21/23

Calculate the acid dissociation constant Ka of benzoic acid.

The pH of a 0.66 M solution of benzoic acid (HC6H5CO2) is measured to be 2.19. Calculate the acid dissociation constant Ka of benzoic acid. Round your answer to 2 significant digits.Ka=
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09/21/23

Find domain and range
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09/21/23

Find domain and range
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09/21/23

Calculus Homework
(a) Find the slope m of the tangent to the curve y = 9 + 4x^2 − 2x^3 at the point where x = a.m=8a-6a^2(b) Find equations of the tangent lines at the points (1, 11) and (2, 9). y(x)=_______ (at the... more
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09/21/23

Systems of Equations
A motorboat maintained a constant speed of 14 miles per hour relative to the water in going 21 miles upstream and then returning. The total time for the trip was 4.0 hours. Use this information to... more
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09/21/23

Systems of Equations
One year there was a total of 47 commercial and noncommercial orbital launches worldwide. In​ addition, the number of noncommercial orbital launches was three more than three times the number of... more
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09/21/23

Systems of Equations
A restaurant manager wants to purchase 200 sets of dishes. One design costs ​$15 per​ set, while another costs ​$55 per set. If she wants to use her entire budget of ​$8​200, how many of each... more
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09/20/23

You have a 15 ft
You have a 15-foot ladder that you are using as you paint your house. You place the ladder so that it forms an angle of 35 at the point of contact between the ladder and the ground. How high will... more
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09/20/23

A bullet shot vertically into the air at +600 ft/s j. How high does the bullet rise above the ground?
A bullet shot vertically into the air at +600 ft/s j. How high does the bullet rise above the ground? What is the velocity of the bullet when it returns to the ground? Assume air friction?
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09/20/23

Area of a Rectangle
The length of a rectangle is 7 inches more than 2 times the width. If the area of the rectangle is 22 square inches, find the length and the width.
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09/20/23

When the temperature of the environment is 15.4°C, the enthalpy of combustion for octane (C8H18) is –44.427 MJ/kg. The molar enthalpy of combustion for octane in these conditions is ________ kJ/mol
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09/20/23

Help with Continuous Growth
Write the exponential function y=16(1.2)^t in the form y=ae^kt.c) The continuous growth rate is ? % per year (round to the nearest 0.01%)I got the answer 18 but the math homework marks it as wrong.
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09/20/23

how do i work this problem
Atoytophasamassof32.0g Cu.Howmanyatoms Cuareinthisspinningtop,giventhattheaverageatomicmassofcopperis63.55g/mol Cu?
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09/20/23

Finding the zeros of a quadratic by factoring
Solve for x when f(x)=0 where f(x)=6x2+7x+2
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09/20/23

What type of attractive chemical interaction can occur between a charged side group and surrounding water molecules?
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