647 Answered Questions for the topic calc

Calc Calculus

02/22/22

Find the integral of ∫ 2 secxtanx + 1/6x 𝑑𝑥

Calc Calculus

02/14/22

The graph below shows the height of an object as a function of time. Height, h, is in meters and time, t, is in seconds.

The graph below shows the height of an object as a function of time. Height, h, is in meters and time, t, is in seconds.Use the graph to answer the following questions. Your estimates must be... more
Calc Calculus

02/14/22

The intensity of a sound is given by

The intensity of a sound is given byI(t) = 4.343ln(100 + 250t2)where I is in decibels and t is in minutes. At what rate is the sound's intensity changing at the instant t = 10 minutes? Be accurate... more
Calc Calculus

02/14/22

its height is given by -An object attached to a spring bounces up and down - calculus

An object attached to a spring bounces up and down. Its height is given byh(t) = 60 − 20cos(0.2t + 0.4)where h is in inches and t is in seconds. What is the object's velocity at the instant t = 5... more
Calc Calculus

02/14/22

calc - chain rule

The table below gives the height of a rocket as a function time,h(t).Units are in the table. h (m) 0 66 164 295 457 651 878 1138 1429 1753 2108 t (s) 0 1 2 3 4 5 6 7 8 9 10 Air temperature... more
Calc Calculus

02/13/22

Chain rule - calc

The table below gives the height of a rocket as a function time,h(t).Units are in the table. h (m) 0 66 164 295 457 651 878 1138 1429 1753 2108 t (s) 0 1 2 3 4 5 6 7 8 9 10 Air temperature... more
Calc Calculus

02/05/22

calc - math Question

You pour yourself a cup of coffee. The function that models the cooling of 73◦C degree cup of coffee in a room of temperature 20◦C is given by T(t) = 20 + 53e^kt .where the temperature T is (C),... more
Calc Calculus

02/05/22

calculus - math

In the following intervals put a + if the derivative of f is positive or put a − if the derivative of f is negative. Interval: (−∞, −2.6) (−2.6, −1.1) (−1.1, 0.2) (0.2,∞)
Calc Calculus

02/05/22

math - calculus

You pour yourself a cup of coffee. The function that models the cooling of 73◦C degree cup of coffee in a room of temperature 20◦C is given by T(t) = 20 + 53e^kt .where the temperature T is (C),... more
Calc Calculus

02/01/22

calculus - math

To stock a lake, a supply of fish (with water) is dropped from an airplane at an altitude of 70 meters. The height of the fish, as a function of time, is h(t) = 120 − 50√ 1.1t + 1 where height, h,... more
Calc Calculus

01/31/22

chain rule - calculus problem

A crate of supplies is dropped from an airplane at an altitude of 3000 meters. Its height, as a function of time, ish(t) = 3300 − 54t − 300e−0.18twhere h is in meters and t is in seconds. Answer... more

01/30/22

Complete the table assuming the type of change indicated.

Complete the table assuming the type of change indicate. Then use the table to write the function.a). Linear change b). Exponential change x y ... more

01/27/22

In each part, find a formula for the general term of the sequence

In each part, find a formula for the general term of the sequence, starting with n=1.Enter the following information for an=1) 4/5, 24/25, 124/125, 624/625,...2) 0, 1/√π, 4/3√π, 9/4√π,...
Calc Calculus

01/24/22

The height of a falling object (subject to air resistance) is given by h(t) = 400 − 39t − 157e−t/4

The height of a falling object (subject to air resistance) is given byh(t) = 400 − 39t − 157e−t/4with h in meters and t in seconds. Write a formula for the average velocity on the interval[2, a].... more
Calc Calculus

01/24/22

Calculus - Limits

Consider the functionf(x) = 6x − 36/x − 2 x f(x) 1.9 59.055 1.99 63.929 1.999 64.446 2 UNDEFINED  2.001 64.561  2.01 65.085 2.1  70.643 Estimate the value... more
Calc Calculus

01/24/22

limits - calculus

Consider the functionh(t) = 4 cos (t) − 4/t2a. Fill in the table below to look at the behavior neart = 0.Enter UNDEFINED if the function is undefined.Round answers to three decimal... more
Calc Calculus

01/23/22

An object is thrown up. Its height is given by y(t) = 100t − 16t2

An object is thrown straight up. Its height is given byy(t) = 100t − 16t2with y in feet and t in seconds. Write a formula for the average velocity on the interval[2, 2 + h]. Enter your answer as an... more

01/22/22

A company is offering newly hired employees three salary structures.

A company is offering newly hired employees three salary structures. One option computes raises by adding $1,000 and then a 3% increase. Another option computes raises by adding a 3% increase and... more

01/22/22

For each situation, write a linear function using meaningful variables.

For each situation, write a linear function using meaningful variables. Find and interpret the slope and y-intercept.a). For each dollar a driver spends on gas, she can drive 15 miles. Assume she... more

01/22/22

A local pizza place sends you online coupons.

A local pizza place sends you online coupons. You can't combine the coupons, and you are trying to choose from two deals: $6.99 per two-topping medium pizza or 20% off the regular price of $11 for... more

01/22/22

Imagine that the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39.

Imagine that the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2? more

01/22/22

A store charges $12.50 for 5 boxes of cookies.

A store charges $12.50 for 5 boxes of cookies. A second store charges $8.00 for 4 boxes of cookies, but you have to buy a gallon of milk for $3.00 to get that deal. Write the cost model equations... more
Calc Calculus

01/20/22

A water container is to be drained for cleansing. If Q represents the number of gallons of the water in the container t minutes after the container has started to drain, and Q(t) = 1/4 (50 − t)^2 .

A water container is to be drained for cleansing. If Q represents the number of gallons of the water in the container t minutes after the container has started to drain, and Q(t) = 1/4 (50 − t)^2... more
Calc Calculus

01/20/22

A water container is to be drained for cleansing. If Q represents the number of gallons of the water in the container t minutes after the container has started to drain, and Q(t) = 1/4 (50 − t)^2 . 

A water container is to be drained for cleansing. If Q represents the number of gallons of the water in the container t minutes after the container has started to drain, and Q(t) = 1/4 (50 − t)^2... more

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