A particle moves in a straight line according to a law of motion s = f (t), t> 0, where t is measured in seconds and s in meters. s = f (t) = 2t³ – 15t2 + 36t %3D

Q: A car is moving at a constant acceleration of 3.2 m/s away from a tree. At t =0, the car is 14 m awa...

A: V= V0 + at ...(1)t=2V2 =8.5 m/sa=3.2  ms2From equation-1;8.5 =V0 + 3.2 (2)V0 =2.1  m/s 

Q: x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ ...

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Q: (지+9) (x-3)

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas ...

A: The given figure is:

Q: Question 5: The 3x3 matrix M is given below, in term of a constant y: [y - 3 M = -2 y -2 -1 у — 1 y ...

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Q: Applying the quetient rule, what is w() if hG)-

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Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0) Hol...

A: Given data÷

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: Find the radius of convergence, R, of the series. (-1)"x" n = 1 R = Find the interval, I, of converg...

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Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

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Q: 0.0161t where A, is the amount of the Aoe A certain radioactive isotope decays according to the form...

A: Given problem:- A certain radioactive isotope decays according to the formula A=A0 e-0.0161t where A...

Q: y = (x² – 1)lnx

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Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: 3- Find the slope and y-intercept of the line 8x + 5y = 25

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Q: consider a Ctosed Kectangutar box with a Hw.4 squar bare, If base side isr measured with ekrorat, an...

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Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

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Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du   ...

Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: Use the fact that the volume of a tetrahedron with adjacent edges giver by the vectors u, v and w is...

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Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If...

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Q: 3. Which of the following is the location of an asymptote in the graph y = csc x? X = 2 O x-- 2 Ox- ...

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Q: -

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Q: Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

A: This is a problem of differentiation of the function. By using the general formula we will find out ...

Q: 2. f (x) = (x³ – 2a² + – 6) (2a² – 2x + 4) - -

A: Given problem:- f(x) = ((3/4) x3 - 2x2 + x/4 - 6)(2x2 - 2x + 4) Find derivative using product rule

Q: Let f (x) = ax- 3/12 + 4x². Find the value of a if f' (1) = 16. Enter the value of a in the box and ...

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Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupledd first orde...

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Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: Evaluate the geometric series or state that it diverges. 00 k 3. Σ k = 0 Select the correct choice b...

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Q: Find grad f, plot some level curves f= constant and indicate grad f by arrows at some points on the ...

A: Question - (a) Given: fx,y=xy Formula used: ddxxn=nxn-1  

Q: S sin 3xcos"3xdd

A: Given: ∫sin43xcos43xdx Let I=∫sin43xcos43xdx  ⇒I=116∫2sin3xcos3x4dx ⇒I=116∫sin46xdx

Q: Translate: 6Y = 54 O Six more than a number is fifty-four O 6 times y is equal to 54 O The product o...

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Q: What must be multiplied to both numerator and denomination of lim→2 3-г-1 SO 2-x that the limit will...

A: We have to find multiplication factor for given Limit.

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the v...

A: Let's find. 

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: 4 Compute each of the following. Simplify your answer and use 5 Consider the function f(x) exact val...

A: f(x)=-5x-4x-1f(x)=-5x+5-9x-1f(x)=-5(x-1)-9x-1f(x)=-5-9x-1

Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: dy find dx

A: The given function,   ex+y=xy2

Q: 1. S 3te'dt

A: Note : as per our company guidelines we are supposed to answer only one question.kindly post other q...

Q: Graph the piecewise-defined function. x-3 if xs5 (x) = 2 if x>5 .... Choose the correct graph. OD. B...

A: Topic = Function Correct option = D

Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +t...

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Q: Find the solution of the following Differential Equations 2) y-16y 0

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

Q: m If f is a probability density function of a continuous random variable x over [a,b], then the medi...

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Q: Determine the following using the equation 2xy3- 4x3/2 +2 = 0 a) Use implicit differentiation to fin...

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Q: 1 Find the equation of the tangent line to the curve y = 3 11 5r3 - a2 + 6x – 6 at its point of inte...

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Q: Solve the quadratic equation

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Q: Find dy/dx given that 3(x +y) = 100xy Solution:

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Q: Q find the Pur Pose of the f =)ی £ f(x)= a 义く2 lim ×+2文+3X+ x²+1 9. メ→

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Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to simplif...

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