sec 0 d0

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of ...

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. it has relative maximum (3,3) and point of inflec...

A: Given function f(x)=ax3+bx2+cx+d

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: Find an exponential function of the form P(t) = Pon that models the situation, and then find the equ...

A: Given Tripling time = 4 months Initial population P0=4000 Exponential functionPt=P0ntT

Q: 6. Using differentiation formulas, write the derivative with respect to x of the following. Find the...

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Q: Given the following values f (x) and 2 = e and W = - 1 and A Determine the value of u2. A H2 B) H2 =...

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Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

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Q: x3-27 dx 2. ズ-3

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Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: (b) (c) yA

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: dx 10. J V2x2-1

A: See the details solution in below

Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

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Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+ 4, g(x) = 2x - 7x-4 (fo g)(x) = 2x2 ...

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

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Q: Find the limit or indicate that it does not exist. lim t→L 5 i+ 4 sin i+ t k cos tan Select the corr...

A: limt→πsint2i+cos54tj+tan53tk

Q: %3D In this exercise we want to us I sin(z) cos(c) dr Tp (I)SO Hint: Preview My Answers

A: Topic:-: integration

Q: Determine each feature of the graph of the given function. -x² + 2x + 8 f (x) = 2x2 16х + 32 Horizon...

A: Given:- f(x) =(-x2+2x+8)/(2x2-16x+32)  To find:- Horizontal Asymptote Vertical Asymptote X intercep...

Q: some items may need simplifying 21 1. .f(x) = [(x² – 9)Vx+ 2]|

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Q: ) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ab...

A: 21) Determine the volume of solid obtained by rotating the region bounded by y = x^2 – 2x and y = x ...

Q: Convert the Transfer Function into Differential Equation. (s – 1)'s C(s) (s2 + 1)2s2 R(s) Convert th...

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Q: Learning Task 2 Use reference angle and appropriate sign to find the exact value of each expression ...

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Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: csc'x- cotx + tan'x Cosx - sin?xcosx

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Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

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Q: The position of a particle in the xy-plane at time t is r(t) = (t+ 2) i+ (t +5) j. Find an equation ...

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Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: 4x2 + 4y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 11....

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Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 ...

A: r→(t)=2t,cos2t3/2,sin2t3/2 we have to find length of the curve when 0≤t≤1. The length of the curve i...

Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

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Q: 14) Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x...

A: Let's find. 

Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: 3. In (cose) tane de

A: