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Calculus

01/30/24

Evaluate the integral

∫[2x/(2x+1)]dx

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Calculus

01/30/24

Differentiate the logarithmic function

y=log2(xlog5x)For this one, should I try to change the base to lnx? Or should I just proceed and differentiate the function + chain rule everything? So like, 1/[(xlog5x)ln2]*d/dx[xlog5x]?

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Calculus

01/30/24

A 10 ft chain weighs 55 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end.

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Calculus

01/30/24

A chain lying on the ground is 10 m long and its mass is 90 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m? (Use 9.8 m/s2 for g.)

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Calculus

01/30/24

A spring has natural length 25 cm. Compare the work W1 done in stretching the spring from 25 cm to 35 cm with the work W2 done in stretching it from 35 to 45 cm.

A spring has natural length 25 cm. Compare the work W1 done in stretching the spring from 25 cm to 35 cm with the work W2 done in stretching it from 35 to 45 cm. (Use k for the spring... more

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Calculus

01/30/24

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 48 cm. (a) How much work is needed to stretch the spring from 36 cm to 40 cm?

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 48 cm.(a) How much work is needed to stretch the spring from 36 cm to 40 cm? (Round your... more

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Calculus

01/30/24

A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 5 in. beyond its natural length?

A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 5 in. beyond its natural length?w=?

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Calculus

01/30/24

The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x^2 + (y − 4)^2 = 16; about the y-axis

The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method.x2 + (y − 4)2 = 16; about the y-axisV=?

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Calculus

01/30/24

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x^2 + 23x − 132, y = 0; about the y−axis

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method.y = −x2 + 23x − 132, y = 0; about the y−axisV=?

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Calculus

01/30/24

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 12x − x^2, y = 32; about x = 4

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.y = 12x − x2, y = 32; about x = 4V=?

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Calculus

01/30/24

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x^3, y = 8, x = 0; about x = 7

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.y = x3, y = 8, x = 0; about x = 7V=?

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Calculus Math Linear Algebra

01/30/24

Solve the following linear system.

I don't understand how to get the free variables as well as the first column. I got it to RREF but after that I'm confused. I keep getting it wrong. Please help! Here is the link to the question.... more

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Calculus Math Precalculus Trigonometry

01/29/24

Trig help-urgent

Solve the following inequality. Express the exact answer in interval notation, restricting your attention to 0 ≤ x ≤ 2𝜋.tan(x) ≥ 1

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Answers •2

Calculus Math Precalculus Sat Math

01/29/24

Urgent calculus help

Solve the following inequality. Express the exact answer in interval notation, restricting your attention to −𝜋 ≤ x ≤ 𝜋. sin2(x) < 1/2

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Calculus Math Precalculus Sat Math

01/29/24

midterm help-Calculus help, urgent

Solve the following inequality. Express the exact answer in interval notation, restricting your attention to −𝜋 ≤ x ≤ 𝜋. sin2(x) < 3/4

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Calculus Math Physics

01/28/24

What angle to kick a soccer ball to maximize distance traveled? (vector calc)

A soccer ball on the ground is kicked with an initial speed of 44mph at an angle θ above the horizon. What is the angle in radians that will maximize the distance traveled (g=32ft/sec)?And what... more

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Calculus

01/28/24

Evaluate the integral 4secxtanx from -pi/3 to pi/3

Definite Integrals and Fundamental Theorem of Calculus

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Calculus

01/28/24

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let |a| = 20 lb and |b| = 16 lb. Round your answers to one decimal place.)

magnitude=angle=

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Calculus

01/28/24

two forces F1 and F2 with magnitudes 6 lb and 10 lb, respectively, act on an object at a point P as shown in the figure. (Give your answers correct to one decimal place.)

a) find the resultant force F acting on P i + jb)find the magnitude of F and its direction |F|=𝜃 =

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Calculus

01/27/24

Tangent Plane and Nomrla Line

Consider the following.z + 6 = xey cos(z), (6, 0, 0)(a)Find an equation of the tangent plane to the given surface at the specified point.(b)Find an equation of the normal line to the given surface... more

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Calculus Trigonometry Mechanical Engineering

01/27/24

Right Riemann Sum limit question URGENT

I have no idea how to find the last question regarding the limit of these Reimann sums as n approaches infinity. Please help! Here is the link to the example https://ibb.co/TbGg4Hs

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Calculus

01/26/24

Differentiate the following functions

a. f(x)=log10(arccosx)I started off by converting log into ln, so ln(arccosx)/ln(10). Since ln(10) is a constant, I would just differentiate ln(arccosx), right? So the answer would be... more

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Calculus

01/26/24

Evaluate the following integrals

∫3x/(1+x4)dxI separated the two equations into 3x(1/(1+x^4) and tried u substitution but neither 3x nor 1+x^4 really worked so I wasn't sure how to do this equation. ∫1/(√3-2x-x2)dx [Hint:... more

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Calculus

01/26/24

Evaluate the definite integral from 1 to -3 of (-x/2+1) dx

Definite Integrals Practice

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Calculus

01/26/24

Evaluate the definite integral from 1 to -3 of (-x/2+1) dx

Definite Integrals׬ ቀെ ௫ ଶ ൅1ቁ ିଷ ଵ 푑푥

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Evaluate the integral

Differentiate the logarithmic function

A 10 ft chain weighs 55 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end.

A chain lying on the ground is 10 m long and its mass is 90 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m? (Use 9.8 m/s2 for g.)

A spring has natural length 25 cm. Compare the work W1 done in stretching the spring from 25 cm to 35 cm with the work W2 done in stretching it from 35 to 45 cm.

Suppose that 5 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 48 cm. (a) How much work is needed to stretch the spring from 36 cm to 40 cm?

A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 5 in. beyond its natural length?

The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x^2 + (y − 4)^2 = 16; about the y-axis

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = −x^2 + 23x − 132, y = 0; about the y−axis

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 12x − x^2, y = 32; about x = 4

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x^3, y = 8, x = 0; about x = 7

Solve the following linear system.

Trig help-urgent

Urgent calculus help

midterm help-Calculus help, urgent

What angle to kick a soccer ball to maximize distance traveled? (vector calc)

Evaluate the integral 4secxtanx from -pi/3 to pi/3

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let |a| = 20 lb and |b| = 16 lb. Round your answers to one decimal place.)

two forces F1 and F2 with magnitudes 6 lb and 10 lb, respectively, act on an object at a point P as shown in the figure. (Give your answers correct to one decimal place.)

Tangent Plane and Nomrla Line

Right Riemann Sum limit question URGENT

Differentiate the following functions

Evaluate the following integrals

Evaluate the definite integral from 1 to -3 of (-x/2+1) dx

Evaluate the definite integral from 1 to -3 of (-x/2+1) dx

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