An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is a) y = - O b) y = (x- 6)2(x- 4)(x- 5) c) y = (x- 4)2(x - 5)(x - 6) O d) y= (x- 4)(x - 5)(x - 6)

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A: We have to find rational expression.

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A: P(4≤x≤7) =∫4 7 p(x) dx                  =∫46x27 dx  +∫6723-2x27 dx

Q: 3.44 Given that F= x'ya, – ya,, find (a) $¸F·d1, where L is shown in Figure 3.30. (b) Ss(V × F) · dS...

A: The given problem is solved below in detail.

Q: Show all your work 1. (a) a s} Sketch the region bounded by the graphs of y-Va-1 and y a-1 on [1,2]....

A: This question is based on washer method. V =  π∫ab [{R1(y)}2 - {R2(y)}2]dy

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Q: x-2 3. Evaluate the integral S (t3 In t i + 3t³ sin (t*) j+ x(x+1) k) dt.

A: Integration: - Integration is the process of finding the anti-derivative function of the given funct...

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Q: cln /3 2e" Ve2 + 1 dx

A: The integration of the integral is 2ex√(e2x+1) limit from 0 to ln√3.

Q: Identify the most appropriate differentiation rules to be used in findıng the derivative of the föll...

A: topic - derivative rules

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A: Given:  A rocket is fired vertically upward from the ground. The distance s in feet that the rocket ...

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Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

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Q: If s(t) = 8t3 – 12t? – 48t + 4, represent the position of a particle traveling along a horizontal li...

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A: This question is based on conversion of Cos2r = 1 - Sin2r

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A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10          =-1...

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Q: Evaluate the integral. 1 t3 dt t2 - 4 /2V2

A: ∫2241t3t2-4dt=?

Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

Q: How

A: We will find the solution. 

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketc...

A: Given query is to find the equation of the tangent at given point.

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Q: sin (x) Since tan (x) = use the Quotient Rule to explain why Veft ( tan (x))=sec (x) dx %3D cos (x) ...

A: We can find the answer as below using quotient rule.

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A: The cost function of cell phones is C = 28x2-820x+20549 Where, C is cost in dollars and x is the num...

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A: p -series ∑n=1∞1np and it is convergent if p>1

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A: One home iff  f(x)=f(y) imply x=y Onto primage of x exist atleast one image

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Q: Differentiating Implicitly Use implicit differentiation to find dy/dx in Exercises 1–14. 6. (3xy + 7...

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Q: 3z dz; J(1-4z-2z²)² 3z 3z dz 3 – 2 (z + 1)2 ° dz [3 – (z + 1)²]²' Option 1 Option 2 3z ;dz 3 – (z + ...

A: Find your answer below 

Q: If s(t) = 4t3 - 6t2 – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Find your answer below 

Q: me

A: We will solve the integration using substitution. 

Q: goond L ) - 6

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Q: Use Integration by partial fractions 8x2 + 8x + 2 Edx

A: Integral

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A: series are given, we have to the absolutely convergent series.

Q: 0.8 and each Find the elasticity of demand for a product if the demand function for the product is q...

A: I am attaching image so that you understand each and every step.

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A: The digits in base 6 are (0-5) (0,1,2,3,4,5).  

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Q: Obtain the solution using Integrating Factors Found by Inspection 2x 5y ′ = y(3x4+y2)

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Q: Find all critical points for f(x) = x³e-2#. We want (x, y), both a and values.

A: Topic:- application of derivatives

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Q: Consider the integral 2 6z² In(z) dz

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Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

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Q: 5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

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Q: Solve the system of simultaneous equations using Gauss-Jordan method 20x1 - 9x2 + 15x3 = 354 - - 9x1...

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Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Question: If x=c is a critical number of f then f has a local extrema at x=c 

Q: (Straightforward) Find the flow vector ī(x, y) and sketch the flow field for the differential equati...

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Q: A rocket is fired vertically upward from the ground. The distance a in feet that the rocket travels ...

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