A plant is growing expotentially, initially is 8cm tall and 4 days later it is 12 cm tall, how long does it take to grow to a height of 27 cm?

Q: evaluate the integral 1)integral of (( x5+square root of x )/x3)) dx 2) Find the area under the curv...

A: 1.I=∫x5+xx3dx=∫(x2+x12x-3)dx=∫(x2+x-52)dx=x2+12+1+x-52+1-52+1+c     where c is any constant=x33-23x3...

Q: Demand for your tie-dyed T-shirts is given by the formula:q = 500 − 100p0.5 where q is the number of...

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Q: The annual revenue of Google Inc. over the period January 2008 – January 2015 can be approximated by...

A: The annual revenue of Google Inc. over the period of January 2008 – January 2015 can be approximated...

Q: 9-25. The current flowing in a resistor is given by i(t) = (t – 1)²A. Knowing that i(t) = 0 find the...

A: Given that current flowing in a resistor is  i(t)=(t-1)2 i(t)=t2+1-2t. and also i(t)=dq(t)/dt We nee...

Q: I need help solving this question.

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Q: Estimating Errors. Use error formulas to estimate the erros in approximating the integral, with n=4,...

A: In the above given problem the value from trapezoidal rule is 22 and from simpson rule is 20 so the ...

Q: Given the function below, determine if the function is continuous at the point 2 = 1. If not, indica...

A: Given function is fx=3x-4,-4x<1x=1-2x+1,x>1 To determine whether function is continuous at x=1...

Q: An open box is to be made from a piece of cardboard, 15 inches by 15 inches, by cutting equal square...

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Q: The figure to the right shows the total sales, in thousands of dollars, from the distribution of x t...

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Q: The radius of a sphere increases at a rate of 1 m/sec. Find the rate at which the volume increases w...

A: Rate of change of radius drdt=1 m/sec. When the radius is 20 m, we have to find the rate at which th...

Q: Solve the initial-value problem for y as a function of z. (64 – ) = 1, y(0) = 2 dy da

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Q: The functions f, g. and h are defined as follows. -10+3x h (x) = 3 -17 g (x) = /-6-5x %3D %3D Find f...

A: Consider the provided function, fx=-34x-17 Find the value of f8. x=8 put in the provided function. f...

Q: Problem 1: The measurement of the base and altitude of a triangle are 32 cm and 48 cm, respectively....

A: The base and altitude of a triangle are 32 cm and 48 cm. The possible error in each measurement is 0...

Q: 1 0. c1.4

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Q: Write the formula and perform all the steps

A: Given: A line passes through the point (4, 2). The line is parallel to the direction vector v→=-i^+5...

Q: A drilling machine is to have 8 speeds ranging from 100 rev/min to 1000rev/min. If the speeds form a...

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Q: Assume that the demand equation for tuna in a small coastal town is:pq1.5 = 50,000 where q is the nu...

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Q: The marginal cost of producing the xth box of light bulbs is 3 + x2/1,000 dollars per box. Determine...

A: Given: The marginal cost of producing the xth box of light bulbs is MC(x) = 3+x21000 To determine: T...

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x? + y? + 8x – 8y,...

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Q: 1 If f(x,y)=x³y-xy3 then of of ôx ôy J(x,y)=(1,2) a. 13/22 b. 1/22 с. -13/22 d. None of these

A: Given that, f(x,y)=x3y-xy3 Differentiate partially with respect tot x. ∂f∂x=y(3x2)-y3∂f∂x(1,2)=(3×2)...

Q: lim x approchs infinity 5x/(4x^2 + 5x)

A: Given, limx→∞ 5x4x2 + 5x Takine x as common from both denominator and numerator and then cancelling ...

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x< 6, 0 s y s Vx}

A: Answer and explanation is given below

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answer are not uni...

A: Find a vector v orthogonal to u=4,-2,9.

Q: Consider the function f(x) = 1 – 3x2, - 5 < x < 2. %3D The absolute maximum value is and this occurs...

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: x2 – 4 x2 - 9 Consider the function f (x) a) Find f' and f" and simplify both.

A: Given,           fx=x2-4x2-9

Q: Use a calculator to solve the equation tan x = -5, correct to four decimal places, on the interval [...

A: the given equation is tanx=-5. we have to find the solution of the given equation on the interval [0...

Q: Find the area of the region that lies inside both curves.

A: To obtain the limit values of θ, find the point of intersection of the curves r=3sinθ and r=3cosθ. 3...

Q: Compute S x? cos(x³ + 3) dx

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Q: Define G : R R by the rule G(r) = 4r +3, for all real numbers z. ) Is G one-to-one? Prove or give a....

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Q: solve the following differential equation

A: Given

Q: A professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist trav...

A: A professional cyclist travels ∆x=380meters in∆t=20 seconds. Thus, the velocity of the particle is, ...

Q: Calculus Question

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Q: Evaluate the integrals 1)integral of (2sin x + 3cos x)dx 2) integral of (( x5+square root of x )/x3)...

A: Due to our guidelines we can only solve one question at a time . So if you want other question's ans...

Q: A triangular parcel of ground has sides of lengths 725 ft, 650 ft, and 575 ft. Find the measure of t...

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Q: Compute the limit.

A: Given,          limx→0+1-x1x

Q: A sewage disposal plant has a big concrete holding tank of 100,000-gal capacity. It is 3⁄4 full of l...

A: Let V(t) be the volume of liquid in the tank at time t. Let Vo be the initial volume of liquid in th...

Q: Y=0.83x +0.0094x2 +0.000042x3 Take out derivative of the given function.

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Q: Use an identity to solve the equation cos 2x + cos x + 1 = 0 on the interval [0, 2π).

A: the given equation is cos2x+cosx+1=0. we have to find the solution of the given equation on the inte...

Q: Find an equation of the line that satisfies the given conditions. x - intercept 1; y - intercept -5

A: We have to find equation of line that have x-intercept 1 and y-intercept -5.

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: An inequality for positive integers Show that if a, b, c, and d are positive integers, then (a? + 1)...

A: To Prove: a2+1b2+1c2+1d2+1abcd≥16 It is given that the numbers a, b, c, and d, all are positive inte...

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.