The volume of a square pyramid is related to the length a side of the base s and the height h by the formula V = s'h How is AP related to dt ds if h is constant? dt O dv = 2hs ds dt 3 dt O dv -h ds 3 dt dt O dv - 25 ds dt 3 dt O dv = ds dt 3 dt

Q: The dimensions x and y of an object are related to its volume V by the formula V = 8xy. dV related…

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A: From the given question, the forces acting on the first mass are F1=kx1 in the upward direction and…

Q: The dimensions x and y of an object are related to its volume V by the formula V=8x^2y. How is dV/dt…

A: In the question it is that dimension of an object is given as x and y. The volume formula is given…

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Q: A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is…

A: Solution

Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

A: The velocity of the ball satisfies the relation, mdvdt = -mgat t = 0  velocity v = 0 given relation…

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A: The solution is written in step2 and step3.

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A: givenv(t)=-.27t2+12ta.integrate on both…

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Q: A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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Q: A cube is shown with all sides equal to x. Let x change with respect to t such that x(t) = 3t - 2.…

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Q: The number of cells in a bacteria population is given by P(t) = 1950 · 4 where t is measured in…

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Q: The integral csc(0.5) dx is equal to 2ln|tanh(0.5x)| + C B None of the given choices 2ln|csc(0.5x) –…

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Q: The dimensions x and y of an object are related to its volume V by the formula V = 6x°y. dV related…

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Q: (b) Using Runge-Kutta forth order method, find y for x = 0.1 and x = 0.2 of the initial value ODE =…

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Q: It represents the integration factor of the equation y (2xy +1)dx +x (1+ 2xy -x'y'dy = 0 al Jusi…

A: Given

Q: The dimensions x and y of an object are related to its volume V by the formula V = 11x²y. dV a. How…

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Q: dy = y-x, y(0) = 2, then the value of y(0.2) by using 4th order 8. Given dx Runge-Kutta method…

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Q: The total surface area S of a right cir-cular cylinder is related to the base radius r and height h…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: = T Cos (4), what is the total distance :0 to t = 4? A particle has velocity function v(t) traveled…

A: The objective of the question is determine the total distance from the given velocity function…

Q: Suppose a spherical balloon grows in such a way that aftert seconds, its volume V is given by V = 4…

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Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: We can solve the given problem by using the concept of derivatives.

Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

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Q: The dimensions x and y of an object are related to its volume V by the formula V= 3x-y. dV related…

A: Explanation of the answer is as follows

Q: A spring of constant density d lies along the helix r(t) = (cos t)i + (sin t)j + t k, 0<=…

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Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

Q: The dimensions x and y of an object are related to its volume V by the formula V=8x^2y   how is…

A: GIVEN: Volume, V = 8x2y

Q: A tank with capacity of 300 gal of water originally contains 200 gal of water with 100 lb of salt in…

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Q: The volume flowrate Q of a fluid in a tube is related to the pressure difference AP across the tube…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The integrating factor of the given DE are already given below. What is the value of “n” ?…

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Q: A cube is shown with all sides equal to x. Let x change with respect to t such that x(t) = 3t + 1.…

A: Formula used: The volume of the cubic with side length x is given by V=x3. Calculation: Here, the…

Q: 16) Approximate ,xer'dx Using Gauss-Legendre 3 points formula G3(f)

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Q: A tank in the shape of a cylinder standing on end leaks water through a circular hole in its bottom.…

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Q: 1 Ju'e" du = u'e n-1 eau au Use the formula not integration by parts, a to evaluate / = fx'e*dx

A: The given integral is ∫x2exdx

Q: Given ODE ydy/dx + (y^2)*cotx = cosx. What is the type of ODE? a. linear b. separable c. bernoulli…

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Q: A can is filling with water at a rate of r(t) = 2t³ cm³/sec. %3D If the can was empty at t = 0, what…

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Q: B. The dimensions of a rectangular solid at a given instant (t.) are (a = 13 cm). (b=9 cm) and (c =…

A: Given  Dimensions of rectangular solid  a=13cm, b=9cm, c=5cm .Rate of change of a and c increase…

Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: Note:- As per our guidelines, we can answer the first of this problem as all the methods are…

Q: MV² dN F(V)dV = M 47(- 2 TRT -3/2 v? exp(- -)dv N 2RT Where dN, the number of particles having a…

A: Given: FVdV=dNN=4πM2πRT32V2e(MV22RT)dV Compute: V2=∫0∞V2FVdV…

Q: 5. As sand leaks out of a hole in a container, it forms a conical pile whose altitude (height) is…

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Q: A stone is thrown into a body of still water and created ripples in the form of concentric circles.…

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Q: 1 The volume of a right circular cone of radius x and height y is given by V TXʻY. Suppose that the…

A: Given that:                        Volume of the cone, V=13πx2yV=204π cm3x=6y=17

Q: Let V(t) be the volume of water in a tank (in liters), at time t (in seconds). dV -? Be sure to…

A: Solution is given below: