A stone is thrown upwards and it's height in meters is at time t seconds is given by h(t)=-4.9t^2+25t+2.3 When will the stone reach it's maximum height

Q: The growth rate G of a population of animals in a conservancy was documented. If the growth rate…

A:

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: 3x+4 3. f(x) = x2+3

A:

Q: Graph the function y=-sin2x on [-pi,0]

A:

Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

A: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: The Loth Cat population grows at a constant relative growth rate. If the population is 400 after 2…

A: Let the constant relative growth rate be 'r' and the time in years be 't'. Let the population at any…

Q: Sarah is asked to find the maximum value of a function. Not having a complete understanding of the…

A: If we want to find the maximum or minimum values of a function then follows the steps mentioned…

Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

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Q: Use differentials to approximate the cube root of 0.009.

A: Approximate  0.00913

Q: By using the second derivative test for functions of two variables, find three positive numbers…

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Q: at the point (2, –1). Find the maximum rate of change of f(x,y): x2 + Y

A: For maximum rate of change we need to calculate magnitude of gradient bat point (2,-1)

Q: Starting from the point (, 1), at which direction does the above function f decrease fastest (most…

A: fx,y=esinx y     π6,1

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

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Q: Use differentials to estimate (2.03)4

A: Given: To find differentials to estimate (2.03)4

Q: The population of community is known to increase at a rate proportional to the number of people…

A:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Rate of change

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: find the derivativey=log(to the 4th) time (2x Third -6x)

A: To apply the rules for derivative of composite functions

Q: 2 that also passes Write the equation for a quadratic function f(x) with roots at x = 7 and x =…

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Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: To obtain the required polynomial equation, use the following Newton's divided difference…

Q: The current circulation of some magazine is 3000 copies per week. The managing editor of this…

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Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: find all possible functions with the givenderivative. y' = √θ - sec2 θ

A: Given: y'=dydθ=θ-sec2θ for evaluating solution of given differential equation, we use variable…

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.067…

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Q: The average annual increment in the horn length (in centimeters) of bighorn rams born in recent…

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Q: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

A: Linear equation are those equation in which highest power of the variable is 1. The linear equation…

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: A particle is moving along the graph of the equation y = x* + 2x -5x - 85. If the abscissa is…

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Q: If we have to integrate a function, what is the first thing come into our mind?

A:

Q: Use differentials to approximate √16.5.

A: Given:

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

A:

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sinh 2x cosh 3xdx.

A:

Q: Vx-3 6. f(x) = X-9

A:

Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

A: Given: y = x-54 To find: Second derivative of the given function.

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: Solves methad of vriation of Parameters - secx by the yot gosx +イne

A: We use the method of variation of parameters to solve this problem.

Q: A car rental agency rents 200 cars per day at a rate $30 per day. For each $1 increase in rate 5…

A: Given problem is : A car rental agency rents 200 cars per day at a rate $30 per day. For each $1…

Q: aximum profit is d to nearest integer.)

A: Given R(q)=90q-0.5q2 and C(q)=13q+600

Q: f(x) = (6x – 7)(2x + 3) %3D

A: Given  f(x)=(6x-7)(2x+3)

Q: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

A: Write the naturally growing equation as exponential function A(t). At t = 0, let A (t) be Ao and at…

Q: If an object is shot upward from the ground with an initial velocity of  v0  feet per second, then…

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Q: A rectangle’s length is growing at 3 inches per second, while its width is shrinking at 5 inches per…

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Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.