12/07/23

Optimization Calculus

a piece of wire of length 16cm is divided into 2 parts, one forms a circle and the other forms an isosceles right triangle. How should the wire be cut so that the area is maximum minimum

12/07/23

Find a degree 3 polynomial with real coefficients having zeros 2 and 4 - 4i and a lead coefficient of 1. Write p in expanded form. Be sure to write the full equation, including p(x)= .

Find a degree 3 polynomial with real coefficients having zeros 2 and 4 - 4i and a lead coefficient of 1. Write p in expanded form. Be sure to write the full equation, including p(x)= .

12/07/23

What is the largest possible area of the field? You need to use calculus to find your solution.

A farmer has 600 ft of fencing to enclose a rectangular field which he plans to subdivide into two pens of equal area, with a single length of fencing running down the middle. What is the largest... more

12/07/23

Find the measure of the third side. Do not use a calculator.

a = 6, b = 8, γ = 60° a = 15, c = 22, β = 135° Solve the triangle. Round answers to the nearest tenth. (No digram given) b = 3.4, c = 2.8, α = 82° a = 11.2, b = 15.3, γ = 116.4°

12/06/23

How do you solve an inequality

Ex: 4 - 3x > 16

Find the integral using trig substitution: x^3/sqrt(4+x^2)dx

Calculus BC

12/05/23

Don't really know how to solve

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=3x, y=3√x;    about y=3 

12/05/23

Calculate: |0->1 140e^0.03xdx

Calculate: 1∫ 140e0.03xdx 0I have multiple problems similar to this one and I know I'm doing something wrong in my process but I don't know what. Can somebody help explain?

12/03/23

Don't know how to solve

If a and b are positive numbers, find the maximum value of f(x)=x^a(7−x)^b on the interval 0≤x≤7

12/03/23

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. (Check description).

Sorry the question got cut off because maximum characters was reached. Here's the full question, A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building.What... more

12/01/23

If f is continuous, prove the equation below and evaluate.

Part 1: if f is continuous, prove that(0,π/2) ∫f(cosx)dx=(0,π/2) ∫f(sinx)dxPart 2: Use the exercise above to evaluate (0,π/2) ∫cos2(x)dx=(0,π/2) ∫sin2(x)dx

11/30/23

(2) Addition and Difference: Trigonometric

Given: sin a = -3/5, a is a third quadrant angle, and tan b = -7/24, b is a second-quadrant angle; find tan(a + b)

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?

A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?  Yes, because 4 + 5 > 8  Yes, because 5 + 8 < 4  No, because 4... more

11/28/23

i cant find the slope

At 91°F, a certain insect chirps at a rate of 104 times per minute, and at 99°F, they chirp 128 times per minute. Write an equation in slope-intercept form that represents the situation.   The... more

11/28/23

Concave up/down and inflection points

The function f(x)=x^3 - 3x^2 - 9xD. Where is the function f(x) concave up or down?E. What are the inflection points (x and y coordinates)?

11/27/23

I don't know how to do these questions. Please help

You want to have $100,000 when you retire in 15 years. If you can earn 4% interest compounded monthly, how much would you need to deposit now into the account to reach your retirement goal? You... more

11/21/23

Hw problem suppose that

f(x) = (30)/(3x+11)^2 and F is an antiderivative of f such that F(-2) = -1. Find F(x) for x> -111/3 F(x)= for x> -11/3

11/18/23

Calculus Applied Optimization Question

Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting... more

11/18/23

Counting Homework

How many different 5 card hands can be dealt from a deck of 52 cards?Answer:  possible handsHow many different 5 card hands can be dealt from a deck of 52 cards if all five of these cards are... more

11/15/23

Boat Shoreline Question

Jane is c=3 mi offshore in a boat and wishes to reach a coastal village b=8 mi down a straight shoreline from the point nearest the boat. She can row 2 mph and walk 5 mph. At what point x miles... more

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