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Calculus

07/27/23

kite problem for calculus

A child is flying a kite attached to a 20 m long string. At first, the kite is directly above the child, but it blows east. The child notices that the angle between the string and the ground is... more

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Calculus

07/27/23

Math Calculus word problem

An open-topped storage box with a square base has a capacity of 5 m3. The material for the sides costs $1.60/m2 while the material for the bottom costs $2.00/m2. Find the dimensions that will... more

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Calculus

07/26/23

If 74+5f(x)+8x2(f(x))3=0 and f(−1)=−2 , find f′(−1) .

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Calculus

07/26/23

solve te initial value problems

dr/dtheta= 3cos^2 (pi/4-theta), r(0)=pi/8

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Calculus

07/26/23

Calculus problem

A man on a dock is pulling in a rope that is fastened to the bow of a boat. If the mans hands are 12 feet higher than the point where the rope is attached to the boat, and if he is retrieving the... more

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Calculus

07/25/23

How can I calculate j''(0)?

The Bessel function of order 0, y=J(x), satisfies the differential equation xy''+y'+xy=0 for all values of x and its value at 0 is J(0)= 1Find j''(0) by using implicit differentiationI got this for... more

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Calculus

07/25/23

The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 1 ≤ t ≤ e?

a. 1b.ec. e-1d. 1/e-1

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Calculus

07/25/23

How can I find j''(0) in this question?

The Bessel function of order 0, y=J(x), satisfies the differential equation xy''+y'+xy=0 for all values of x and its value at 0 is J(0)= 1Find j''(0) by using implicit differentiationI got this for... more

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Calculus

07/25/23

a boat travels at a constant speed of 20 knots due east. The current flows from a bearing of S68°E at speed of 5 knots, headwind is blowing toward the west at speed 6 knots. Where will you end up?

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Calculus

07/24/23

An airplane is flying at 400 km/h on a heading of 050°. The wind is blowing at 30 km/h at a bearing of 153°. Determine the ground velocity of the airplane and the direction of flight.

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Calculus

07/24/23

Solve the initial-value problem for x as a function of t .

Solve the initial-value problem for x as a function of t . (t^2-5t+4)dx/dt=1,(t>4,x(9)=0)

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Calculus

07/24/23

Second Fundamental Theorem of Calculus

Find the maximum value of F(x) = ∫ 0 to x (sin(t2)) dt on the interval 0 ≤ x ≤ 2.5. Maximum point = ( _, _ )

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Calculus

07/24/23

Second Fundamental Theorem of Calculus

Find the value of f(x) = d/dx [Si(x0.5)].f(x) = _________

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Calculus

07/23/23

How can I find derivative of this function

if y=5^6^7^xhow can I find the derivative of this function by using the chain rule?I want to know the process and the answer as soon as possible.

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Calculus

07/23/23

optimal speed of a truck

A truck gets 800/x miles per gallon (mpg) when driven at a constant speed of x mph, where 40 ≤ x ≤ 80. If the price of fuel is $2.80/gal and the driver is paid $15/hr, at what speed is it most... more

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Calculus

07/22/23

let F(x) = definite integral b=x^2 a= 2 (24+29sqrt t -4t)dt. classify each critical point of F as a relative maximum, minimum or neither

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Calculus

07/22/23

find the derivatives in two ways : 1. by evaluating the integral and differentiating the result, 2. by differentiating the integral directly

d/dx [definite integral b=sinx a=0 3t^2dt]

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Calculus

07/22/23

definite integral b= 2 a = 0 x(x-3)dx

evaluate the integral

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Calculus

07/21/23

The vertical displacement of an SUV's body modelled by h(t) = e^(-0.5t) sint where h is the vertical displacement (m) at time (s). Determine when & what the max displacement of the vehicle's body is

when displacement occurs and what it is?

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Calculus

07/21/23

For Each function determine the critical values. no decimal answers. y=4^x e^(2x^2)

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Calculus

07/21/23

Consider the following function. 𝑓(𝑥) = 𝑥 + 3 / 𝑥^2 .

a) Find the critical numbers of f, if any. b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If no answer exists write DNE)... more

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Calculus

07/21/23

a.) Determine whether the Mean Value Theorem can be applied to 𝑓(𝑥) = 𝑥^2/3, [1,8]

b.) If the MVT can be applied, find all values of 𝑐 in the open interval (a, b) such that 𝑓′(𝑐) = 𝑓(𝑏) ― 𝑓(𝑎)/𝑏 ― 𝑎 . (you can leave the answer as a fraction) If the MVT cannot be applied, enter NA.

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Calculus

07/21/23

calculus homework

The velocity function, in feet per second, is given for a particle moving along a straight line.v(t) = t2 − t − 72, 1 ≤ t ≤ 16(a) Find the displacement.(b) Find the total distance that the particle... more

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Calculus

07/21/23

How can I evaluate g''(f)

Q. If g(θ)= sin(θ)/θ, find g'(f), g''(f).I got g'(f) for (θcos(θ)-sin(θ))/θ^2 But when I tried to evaluate g''(f), I got the wrong answer. I want to know the process of the evaluation and answer as... more

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Calculus

07/20/23

Solve the natural log for x

ln(x+2) + lnx = ln(x+12)

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kite problem for calculus

Math Calculus word problem

If 74+5f(x)+8x2(f(x))3=0 and f(−1)=−2 , find f′(−1) .

solve te initial value problems

Calculus problem

How can I calculate j''(0)?

The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet. What is the average velocity of the particle for 1 ≤ t ≤ e?

How can I find j''(0) in this question?

a boat travels at a constant speed of 20 knots due east. The current flows from a bearing of S68°E at speed of 5 knots, headwind is blowing toward the west at speed 6 knots. Where will you end up?

An airplane is flying at 400 km/h on a heading of 050°. The wind is blowing at 30 km/h at a bearing of 153°. Determine the ground velocity of the airplane and the direction of flight.

Solve the initial-value problem for x as a function of t .

Second Fundamental Theorem of Calculus

Second Fundamental Theorem of Calculus

How can I find derivative of this function

optimal speed of a truck

let F(x) = definite integral b=x^2 a= 2 (24+29sqrt t -4t)dt. classify each critical point of F as a relative maximum, minimum or neither

find the derivatives in two ways : 1. by evaluating the integral and differentiating the result, 2. by differentiating the integral directly

definite integral b= 2 a = 0 x(x-3)dx

The vertical displacement of an SUV's body modelled by h(t) = e^(-0.5t) sint where h is the vertical displacement (m) at time (s). Determine when & what the max displacement of the vehicle's body is

For Each function determine the critical values. no decimal answers. y=4^x e^(2x^2)

Consider the following function. 𝑓(𝑥) = 𝑥 + 3 / 𝑥^2 .

a.) Determine whether the Mean Value Theorem can be applied to 𝑓(𝑥) = 𝑥^2/3, [1,8]

calculus homework

How can I evaluate g''(f)

Solve the natural log for x

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