calulus help plz

) Find all the real values of a and b such that the function f(x)=\ [[(sin^2 (2x))/(a * x ^ 2), ifx > 0], [b, ifx = 0], [arctan(1/(x ^ 2)), ifx < 0]] is continuous.

Solve for X (Linear Algebra)

I keep getting this question wrong and I have no idea how to do this. It would be really appreciated if you can help me. Here's the link to the example: https://ibb.co/pjTMyg2

02/08/24

Two part question

PART ONE How much pressure is applied to the ground by a 66 kg man who is standing on square stilts that measure 0.05 m on each edge? Answer in units of Pa. PART TWO What is this pressure in pounds... more

02/08/24

Find the derivatives for each of the following functions. Show your work properly!

Find the derivatives for each of the following functions. Show your work properly! f(x) = 1/(x3 -3x + 7)8 g(t) = sin (πt6) (t + 9)3. h (y) = y cos7(2y) + sin(y)/ 3y2 - 2

02/08/24

Consider the function f(x)= 1/2 cos(2x)

1. Consider the function f(x)= 1/2 cos(2x) (a) Compute ( f’(x) (b) Find an equation for the tangent line to the graph of f(x) at x= π/3 (c) Compute f(11)(x).

02/07/24

A real estate company owns 120 apartments which are fully occupied when the rent is $300 per month.

A real estate company owns 120 apartments which are fully occupied when the rent is $300 per month. The company estimates that for each additional $10 a month increase in rent, live apartments will... more

Pick a card statistics

A card is chosen randomly from a standard deck. What is the probability it is an ace OR a red card? What is the probability is is an ace AND a red card?

02/05/24

calculus 1 question

a hot air balloon full of seniors skipping school rising from the ground of the parking lot at 140 ft/min. The teacher is standing at the door 500 feet from the point of lift off. When the balloon... more

02/05/24

Physics acceleration

How do you find the vertical component of the acceleration of a projectile not on earth?

02/05/24

solve for x. Round your answer to nearest hundredth.

02/04/24

how long for the bullet to hit the ground? Physics

A bullet is fired from a rifle that is held 1.54 m above the ground in a horizontal orientation. The initial speed of the bullet is 1117 m/s. Calculate the time it takes for the bullet to strike... more

02/03/24

If the final examination counts as two grades, what must he get on the final to earn an A in the course?

To earn an A in a​ course, a boy must have a final average of at least 84%. On the first four​ examinations, he has grades of 79​%, 85​%, 75​%, and 75​%. If the final examination counts as two... more

02/03/24

Exponential growth and decay

Suppose a city with population 700,000 has been growing at a rate of 88​% per year. If this rate​ continues, find the population of this city in 16 yearsThe population in 16 years will be... more

02/03/24

Drag racing Physics

A drag racer, starting from rest, speeds up for 401.0 m with an acceleration of +15.2 m/s2. A parachute then opens, slowing the car down with an acceleration of -6.26 m/s2. How fast is the racer... more

02/02/24

find exponential function

Write an exponential function in the form y, equals, a, b, to the power x y=abx that goes through the points left bracket, 0, comma, 9, right bracket(0,9) and left bracket, 2, comma, 225, right... more

02/02/24

What inequality represents this interval? [5, ∞)

02/01/24

find the value of the constant c that makes the following function continuous on (−∞ ∞)

f(b) = cb + 3, bE(-INF, 4] = cb^2 - 3, bE(4, INF)

02/01/24

How long will it take the falling object, initially at rest, falling due to gravity, to reach an instantaneous velocity of 96 feet per second?

How long will it take the falling object, initially at rest, falling due to gravity, to reach an instantaneous velocity of 96 feet per second?____ seconds.

01/14/24

Answer The Following

(a) A certain solution has a hydrogen ion concentration of ×6.5310−6  moles per liter Write this number in standard notation. (b) A fin whale can weigh up to 260,000 pounds.  Write this number... more

01/13/24

Suppose you deposit ​$1500 in a savings account that pays interest at an annual rate of ​4%. If no money is added or withdrawn from the​ account, answer the following questions.

a. How much will be in the account after 4 ​years?b. How much will be in the account after 17 ​years? c. How many years will it take for the account to contain ​$2500​?

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