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Calculus

12/06/23

x^3/sqrt(4+x^2)dx Find the integral above using integration by parts: dv = x/sqrt(4+x^2)dx

For Calculus BC, integration by parts

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Calculus Trigonometry

12/05/23

Find the integral using trig substitution: x^3/sqrt(4+x^2)dx

Calculus BC

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Calculus

12/05/23

At 1 PM, ship A is 5 kilometers strictly to the west of ship B. Ship A is sailing west at speed 20 km/hour and ship B is sailing north at 30 km/hour. Distance between ships changing at 3 PM?

Here's the full question. PLEASE help asap. At 1 PM, ship A is 5 kilometres strictly to the west of ship B. Ship A is sailing west at speed 20 km/hour and ship B is sailing north at 30 km/hour.... more

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Calculus

12/05/23

Don't really know how to solve

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=3x, y=3√x; about y=3

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Answers •2

Calculus Math

12/05/23

Calculate: |0->1 140e^0.03xdx

Calculate: 1∫ 140e0.03xdx 0I have multiple problems similar to this one and I know I'm doing something wrong in my process but I don't know what. Can somebody help explain?

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Calculus

12/05/23

piecewise-defined function: f(x) = ( − sin(a x) if x ≤ 0 x if x > 0 (a) For what values of a, if any, is the function f(x) continuous at x = 0? what parameter a that makes f differentiable at every x?

Consider the following piecewise-defined function: f(x) = ( − sin(ax) if x ≤ 0 ( x if x > 0 (a) For what values of a, if any, is the function f(x) continuous at x = 0? (b) Is there a... more

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Calculus Math

12/05/23

Evaluate this integral: |0->0.2 dx/sqrt(1-x^2)

Evaluate the integral: 0.2∫ dx / √(1-x2) 0I have quite a few questions like this one, and I can't understand how to do them, or what I'm doing wrong.

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Calculus Math

12/05/23

How fast is the distance between the runners changing 1 second after the ball was hit?

You are watching a baseball game. Runners are standing at first and second base. The moment the batter hits the ball, the runner in first base runs to second base 18 feet per second. The runner at... more

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Calculus Math

12/05/23

If the balloon continues to go up 10 feet per second, how fast is the distance between the motorcycle and the balloon changing 10 seconds later?

A hot air balloon is 150 ft above the ground while a motorcycle passes directly beneath it heading North at a speed of 40 miles per hour also known as 58.67 feet per second. If the balloon... more

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Calculus Math

12/05/23

Understanding Derivatives

y = cos4(7x3)step 1 dy/dx = 4cos3(7x3)(-sin(7x3))*21x2step 2 = -84x2cos3(7x3)sin(7x3)step 3 = -42x2sin(14x3)cos2(7x3)Could someone explain how they went from step 2 to step 3?Edit: I understand it... more

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Calculus

12/04/23

Don't know how to solve it

Find area between curvey=3/2sin(pi(x)/6), y=3/6x

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Calculus

12/04/23

Not able to solve it

Find area between curvey=4cos(6x), y=4sin(12x), x=0, x=pi/12

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Answers •1

Calculus Algebra 2 Precalculus

12/04/23

An unknown radioactive element decays into non-radioactive substances. In 880 days the radioactivity of a sample decreases by 36 percent.

(a) What is the half-life of the element? half-life: (days) (b) How long will it take for a sample of 100 mg to decay to 63 mg? time needed: (days)

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Answers •3

Calculus

12/04/23

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building.Length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building.What is the length of the shortest ladder that will reach from the ground over the fence to the wall... more

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Answers •1

Calculus Math

12/04/23

Find the area of the region bounded by the graphs of the given curves

y=x^3/2 and y=(x^2)/32

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Calculus Math

12/04/23

Find the area of the region bounded by the graphs of the given curves

y=x^3/2 and y=x^2/32

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Answers •1

Calculus Math

12/04/23

Find the area of the region bounded by the graphs of the given curves

y=x/3 and x/(x^2+1)

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Answers •1

Calculus

12/03/23

Set up and calculate a definite integral giving the total force on the dam.

If the width w=3620m, height h=110m, and base width b=3100 m, which are approximately the dimensions of the Aswan Dam in Egypt. Use density p=100kg/m^3 and g=9.8 m/s^2.

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Calculus

12/03/23

Don't know how to solve

If a and b are positive numbers, find the maximum value of f(x)=x^a(7−x)^b on the interval 0≤x≤7

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Answers •2

Calculus

12/03/23

Find the fluid force on a side of the plate.

The plate in the figure is submerged in water with its top level with the surface of the water. The water level is cube root 7 ft. The right and left edges of the plate are the curves y=x^(1/3) and... more

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Calculus

12/03/23

Tried to solve it but got the wrong answer

If ∫5to1 f(x)dx=8 and ∫5to3f(x)dx=5.2, find ∫3to1 f(x)dx

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Calculus

12/03/23

A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 3.5. What are the dimensions of such a cylinder which has maximum volume?

Please give the radius and the height.

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Calculus

12/03/23

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. (Check description).

Sorry the question got cut off because maximum characters was reached. Here's the full question, A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building.What... more

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Answers •1

Calculus

12/03/23

how fast is surface area rising when there is 5 inches deep worth of water in the funnel?

Funnel that is 10 inches across 8 inches deep; has a flow of water in =12 in^3/sec and flow of water going out = 4 in^3/sec; how fast is surface area rising when there is 5 inches deep worth of... more

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Calculus

12/03/23

How do I find equations of both tangent lines to the graph of the ellipse 𝑥^2/4+𝑦^2/9=1 that passes through the point (0,4)

The answer is y=4x/3 + 4 and y= -4x/3 + 4; but when I solve for the dy/dx I get the slope is = 0 so there is only one equation y=4; However when I graphed this and it is not tangent to the eclipse.... more

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Answers •2

x^3/sqrt(4+x^2)dx Find the integral above using integration by parts: dv = x/sqrt(4+x^2)dx

Find the integral using trig substitution: x^3/sqrt(4+x^2)dx

At 1 PM, ship A is 5 kilometers strictly to the west of ship B. Ship A is sailing west at speed 20 km/hour and ship B is sailing north at 30 km/hour. Distance between ships changing at 3 PM?

Don't really know how to solve

Calculate: |0->1 140e^0.03xdx

piecewise-defined function: f(x) = ( − sin(a x) if x ≤ 0 x if x > 0 (a) For what values of a, if any, is the function f(x) continuous at x = 0? what parameter a that makes f differentiable at every x?

Evaluate this integral: |0->0.2 dx/sqrt(1-x^2)

How fast is the distance between the runners changing 1 second after the ball was hit?

If the balloon continues to go up 10 feet per second, how fast is the distance between the motorcycle and the balloon changing 10 seconds later?

Understanding Derivatives

Don't know how to solve it

Not able to solve it

An unknown radioactive element decays into non-radioactive substances. In 880 days the radioactivity of a sample decreases by 36 percent.

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building.Length of the shortest ladder that will reach from the ground over the fence to the wall of the building?

Find the area of the region bounded by the graphs of the given curves

Find the area of the region bounded by the graphs of the given curves

Find the area of the region bounded by the graphs of the given curves

Set up and calculate a definite integral giving the total force on the dam.

Don't know how to solve

Find the fluid force on a side of the plate.

Tried to solve it but got the wrong answer

A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 3.5. What are the dimensions of such a cylinder which has maximum volume?

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. (Check description).

how fast is surface area rising when there is 5 inches deep worth of water in the funnel?

How do I find equations of both tangent lines to the graph of the ellipse 𝑥^2/4+𝑦^2/9=1 that passes through the point (0,4)

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