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

12/01/23

Finding local extrema

Consider the family of functions f(x)= a cos +(sinx)^2, where the parameter a varies over the interval (0,3). The locations of the local extrema of functions in this family depend on the parameter... more

11/24/23

can anyone help my answer this question my answer was 4,080 however it was wrong

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 4.7 mi apart, to be 36° and 47°, as shown in the figure.4.7 mi36°47°BAWhat is the elevation of... more

11/20/23

Geometry Question

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the... 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

11/18/23

Counting Homework

A group of 3 students is to be chosen from a 35-member class to represent the class on the student council. How many ways can this be done? (NOTE: Order of the selection is not... more

11/15/23

Find the area of the region that lies inside both curves. r = 3 + cosθ , r = 3 + 2sinθ

please help with this Ive been trying to do this question for hours and I don't understand.

11/09/23

This is a series that I could use some help with solving. Could I get some help solving this series please? Thanks much!!!

b. How many terms are needed to approximate this series to within 0.000001? Find the approximate value to within 0.000001.c. Determine is this series if absolutely or conditionally convergent.

11/09/23

How would I do this?

given the function g(x) = { x+b, x < 0} {cos(x), x ≥ 0}find the value of b if any that will make the function differentiable at x = 0

10/23/23

Consider the equation below. f(x)=e^6x+e^-x

Consider the function below. f(x)=e^6x+e^-x (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) Ans: (-ln(6)/7,infinity) Find the interval on which f is... more

10/19/23

does this series converge or diverge

1 - (*4)/4! + (2*4*6)/6! - (2*4*6*8)/8!

10/11/23

NEEED HELP! please someone help!!

A small radio transmitter broadcasts in a 21 mile radius. If you drive along a straight line from a city 26 miles north of the transmitter to a second city 29 miles east of the transmitter, during... more

10/02/23

Applications of Trigonometric Functions

A hot air balloon is rising vertically. The angle of elevation from a point on level ground 123 feet from the balloon to a point directly under the passenger compartment changes from 17.8 degrees... more

10/02/23

Math question from Algebra 2

Write h(x) = -3x4 +21x³ - 48x² +36x in terms of its linear factors if (x-3) is one of the factors.

10/02/23

Trapazoidal rule

My daughter has tried this question and looked at one similar and get get the correct answer. Can anyone show us how to work it? Thanks.Use the trapezodial rule with n=8 to approximate the... more

10/02/23

Midpoint rule/ttecniques of intergration numerical integration

My Daughter has tried working this problem and looked at one similar and still can't get this right. Any help is appreciated.Use midpoint rule with n-3 to approximate the integral integral of -3... more

10/02/23

Rational Expressions Applications

Hannah can paint a room in 12 hours. Destiny can paint the same room in 15 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.Seth and Ted can... more

Math question from Algebra 2

Knowing that f(4) = 0, find all the zeros of f(x) = x³ -13x² +44x -32

Sketch the graph of the following function and determine its domain and range.

1. f(x)= x² - 81/ x+92. f(x)=√9-x²3. f(x) = {x² -1 if x<3 at x= 3 {x+5 3≥x

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