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Basic Calculus Math Calculus Mathematica

05/18/22

If the population was 200,000 bacteria when observations began, what will the population be 12 hours later?

Answer the given problem.The population P(t) of a bacterial colony t hours after observation begins isfound to be changing at the rate dp/dt=200e0.1t+150e-0.03t. If the populationwas 200,000... more

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Basic Calculus Math Calculus Mathematica

05/18/22

Find the area under the curve y = 4 which is bounded from x = -1 to x = 2.

Image- https://imgur.com/Hksu2LAFind the area under the curve y = 4 which is bounded from x = -1 to x = 2.a.4b.12c.8d.21/32

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Basic Calculus Math Calculus Mathematica

05/18/22

Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.

Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.Problems is on this imageimage- https://imgur.com/9qB5VSG

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Basic Calculus Math Calculus Maths

05/17/22

Find the area of The Definite Integral and The Fundamental Theorem of Calculus

Image- https://imgur.com/Hksu2LAFind the area of the shaded region under the curve, y=2x-x2 .Find the area under the curve y = 4 which is bounded from x = -1 to x = 2. Find the area of the region... more

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Basic Calculus Math Calculus Mathematica

05/12/22

Calculate (1) how high it goes, (2) how long the ball is in the air, (3) how much time it takes for the ball to reach the maximum height,

A person throws a ball upward into the air with an initial velocity of 15 m/s withan acceleration of -9.8m/s2. Calculate (1) how high it goes, (2) how long theball is in the air, (3) how much time... more

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Basic Calculus Math Calculus Mathematica

05/12/22

If the population was 200,000 bacteria when observations began, what will the population be 12 hours later?

Answer the given problem.The population P(t) of a bacterial colony t hours after observation begins isfound to be changing at the rate dp/dt=200e0.1t+150e-0.03t. If the populationwas 200,000... more

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Basic Calculus Math Calculus Graph

05/12/22

Illustrate and answer the following.

Procedure:• Draw a Cartesian Plane ( Use a scale of 1 centimeter)• Plot the graph of the parabola (x-1)²= -16(y-4) on the Cartesian Plane• Divide the bounded region between the graph... more

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Basic Calculus Math Calculus Graph

05/08/22

Illustrate the following and then answer the following :a. Compute the approximate area of the region bounded by the parabola and the x-axis. b. Describe the application of the Reiman sums?

Procedure:1. Draw a Cartesian plane on a ¼ size illustration board (use a scale of 1 centimeter.2. Plot the graph of the parabola (x – 1)2 = – 16(y – 4) on the Cartesian plane. (Note that the... more

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Basic Calculus Math Calculus Graph

05/07/22

Illustrate then do the following :a. Compute the approximate area of the region bounded by the parabola and the x-axis. b. Describe the application of the Reiman sums?

Procedure:1. Draw a Cartesian plane on a ¼ size illustration board (use a scale of 1 centimeter.2. Plot the graph of the parabola (x – 1)2 = – 16(y – 4) on the Cartesian plane. (Note that the... more

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Basic Calculus Math Calculus Numbers

05/06/22

Find the general solution of the following differential equations.

Find the general solution of the following differential equations.1. dy/dx= -x+1/2(y+3)2. dy/dx= y²(1+ ex )

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Basic Calculus Math Calculus Numbers

05/05/22

Solve the problem using exponential growth and decay of antiderivative.

Direction: Read and analyze the problem carefully. Solve the problem using exponential growth and decay of antiderivative. Show your solution and answer the following question below.1. Suppose that... more

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Basic Calculus Math Calculus Maths

05/02/22

What is this symbol in indefinite integral?

image- https://imgur.com/hTkTVdv

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Basic Calculus Math Calculus Maths

05/02/22

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫x^4e(^-x^3)dx

Using U – Substitution or Integration by Parts, evaluate the IndefiniteIntegral of the following.∫ x4e-x^3dx

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Basic Calculus Math Calculus Maths

05/02/22

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫ sin x sin 4x dx dx Hint. Use the integration by parts twice.

Using U – Substitution or Integration by Parts, evaluate the IndefiniteIntegral of the following.∫ sin x sin 4x dx dx Hint. Use the integration by parts twice.

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Basic Calculus Math Calculus Maths

05/01/22

Consider the integral ∫3x^2 sin⁡x^3 dx. What substitution should we make to make this integral?

Consider the integral ∫3x2 sin⁡x3 dx. What substitution should we make to make this integral?A. u = 3x2B. u = sinxC. u = x2D. u = x3∫ exdx =ex /ln e +Ca.Trueb.FalseIf we use integration by parts on... more

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Basic Calculus Math Calculus Maths

04/21/22

Compute the test statistic t

Medical literature tells us that our blood is mainly composed of red and white corpuscles and a normal human body must average 7250/mm3 of white blood cell counts. If a sample of 15 individuals... more

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Basic Calculus Math Calculus Maths

04/21/22

Compute the test statistic z

According to NSCB statistics, the life expectancy of Filipino women is 70.1 years. Suppose a random sample of 30 women in town B yields a mean of 72.5 years with a population variance of 4.76... more

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Basic Calculus Math Calculus Optimization

04/07/22

Optimization Question about Profit, Revenue and Cost

I have a question about this problem. I don't know what to do or where to start.I have a function of R(x) and C(x), which are income earned/Revenue function and cost function respectively. I also... more

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Basic Calculus Math Calculus Precalculus

03/30/22

Find the standard (slope-intercept form) equation of the tangent line to the following

f(x)=x^2-3x+1 at x=1This question is the only question that i can't answer its very confusing can someone please help me thank you

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Basic Calculus Math Calculus Precalculus

03/30/22

Find the standard (slope-intercept form) equation of the tangent line to the following

f(x)=x^2-3x+1 at x=1This question is the only question that i can't answer its very confusing can someone please help me thank you

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Basic Calculus Math Calculus Maths

03/30/22

Find the equation of the tangent line and normal line to the curve e^(-x)-y=0 at (-1,0).

Find the equation of the tangent line and normal line to the curve e^(-x)-y=0 at (-1,0). Tangent lineis y=-e(x+1) correct?Normal Lineis y=1/e (x+1) correct?

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Basic Calculus Math Calculus Maths

03/29/22

An airplane is flying parallel to the ground at an altitude of 2 km and at a speed of 4(1/2km)/minf the plane flies directly over the Statue of Liberty,

An airplane is flying parallel to the ground at an altitude of 2 km and at a speed of 4(1/2km)/min. If the plane flies directly over the Statue of Liberty, at what rate is the line- of- sight... more

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Basic Calculus Math Calculus Maths

03/28/22

What is the equation of the normal line to the curve, cot(x+y) -sin(x-y) =1 at 0,Π/2?

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Basic Calculus Math Calculus Maths

03/28/22

Answer the following problems.

1.A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3ft /sec. If the string is taut, at what rate is the string being paid out when the length of the string... more

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Basic Calculus Math Calculus Maths

03/28/22

A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the disturbed region increases at the rate of 16 cm/sec.

A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the disturbed region increases at the rate of 16 cm/sec. At what rate does the area of the disturbed... more

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If the population was 200,000 bacteria when observations began, what will the population be 12 hours later?

Find the area under the curve y = 4 which is bounded from x = -1 to x = 2.

Evaluate the following using The Substitution Rule and the Fundamental Theorem of Calculus.

Find the area of The Definite Integral and The Fundamental Theorem of Calculus

Calculate (1) how high it goes, (2) how long the ball is in the air, (3) how much time it takes for the ball to reach the maximum height,

If the population was 200,000 bacteria when observations began, what will the population be 12 hours later?

Illustrate and answer the following.

Illustrate the following and then answer the following :a. Compute the approximate area of the region bounded by the parabola and the x-axis. b. Describe the application of the Reiman sums?

Illustrate then do the following :a. Compute the approximate area of the region bounded by the parabola and the x-axis. b. Describe the application of the Reiman sums?

Find the general solution of the following differential equations.

Solve the problem using exponential growth and decay of antiderivative.

What is this symbol in indefinite integral?

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫x^4e(^-x^3)dx

Using U – Substitution or Integration by Parts, evaluate the Indefinite Integral of the following. ∫ sin x sin 4x dx dx Hint. Use the integration by parts twice.

Consider the integral ∫3x^2 sin⁡x^3 dx. What substitution should we make to make this integral?

Compute the test statistic t

Compute the test statistic z

Optimization Question about Profit, Revenue and Cost

Find the standard (slope-intercept form) equation of the tangent line to the following

Find the standard (slope-intercept form) equation of the tangent line to the following

Find the equation of the tangent line and normal line to the curve e^(-x)-y=0 at (-1,0).

An airplane is flying parallel to the ground at an altitude of 2 km and at a speed of 4(1/2km)/minf the plane flies directly over the Statue of Liberty,

What is the equation of the normal line to the curve, cot(x+y) -sin(x-y) =1 at 0,Π/2?

Answer the following problems.

A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the disturbed region increases at the rate of 16 cm/sec.

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