The polynomial of degree 3,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=-1. The y-intercept is y=-0.6. Find a formula for p(x).

Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +...

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Q: az For the following functions, determine az and ax ду z = x*eys z = In z = x³e+xy2 2y z = y + cos x

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Q: e table gives the required standard weight, w, in kilograms, of American soldiers, age timeters.1 da...

A: Formula From the table  Because w increased by 2.7 kg as h increased by 4 cm  

Q: Question 3 Given the function g, differentiable on R, with g(1) = 9 and g'(1) = -- |3D What is h'(1)...

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Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +...

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Q: dx 5. Half-Angle Substitution J 3+5cosx

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Q: A potato is launched vertically upward with an initial velocity of 129 ft/s from a potato gun at the...

A: Rate of change of displacement is called velocity and rate of change of velocity is called accelerat...

Q: If f(x) = 8 cot-1x + 5, then find the value of f'(-3) is, 8 10 -8 10 -5 10 -3 10 8.

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Q: A company rents cars at $45 a day and 12 cents a mile. A second rental company's cars are $60 a day ...

A: This question is based on straight line.

Q: Here is the problem : a) Classify this differential equation as separable, linear, exact, or non-e...

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Q: For the demand function q =D(x) = 100 find the following a) The elasticity b) The elasticity at x 7,...

A: Given

Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

Q: Find

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Q: The student council plans to run the annual talent show to raise money for charity. Last year, ticke...

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Q: Because of medical technology advances, the disability rates for people over 65 years old have been ...

A: Here, the given function is: R(t)=26.3e-0.011t...(1) which is disability rate in percentage at t is ...

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Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: Lind ds 6) 5. 52+w²

A: It can be solved using chain rule and divide rule of differentiation.

Q: (x² - x') 6. Reciprocal Substitution -dx 3

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Q: (플, ) (-1) Which point is the inflection point of the function f(x)? A)(-n,0) B) (0,0) C) (T, 0) DI-...

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Q: The motion of a particle is described by the position function S(t) = t³ – 4.5t² + 6t + 2, t > 0, wh...

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Q: 1. メ-\ メ+!

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x Provi...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Given problem:- Evaluate the integral using the indicated trigonometric substitution. (Use C for the...

Q: Question 9 12 Let Fx) be an antiderivative of fx), with F(12) = 12 and f (x) dx = 9. what is F(6) = ...

A: Given: fx=F'x  And F12=12 ; ∫612fxdx=9   From the fundamental theorem of calculus; If dFxdx=fx then,...

Q: If the Wronskian W of f and g is t'e", and if f(t) = t, find g(t). NOTE: Usec as an arbitrary consta...

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Q: Sz2 - 7z + 1, z<7 8-z, z 7 Evaluate the following limits for h(z) = and Justify your answer. (1) lim...

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Q: An object is moving horizontally along a straight line. Its position, in metres, after t seconds is ...

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Q: oo o o O dy Find using implicit differentiation, for the equation z +y = 11 is , da x4 x4 x4

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Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, В D // f...

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Q: Determine whether the Series is. convergent divergent.Write or the exact test that you Use.

A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at x = 4. %3D (Enter an ...

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Q: What is the general solution to the differential equation ydx - ( x - sqrt(x² + y² )dy = 0?

A: Let's find. 

Q: 4. y = (3x + 1)(-4x² – 3)* (23+4)5 3x-2 5. y =

A: This is a question of differentiation. Please follow the procedure given below...  As per bartleby p...

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: dy Given a level suface 5x?y? + 2xy = 5 with y = y(x). Find at the point dx %3D (4, 3). Give your an...

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: equation 6 = 2*.

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Let f be a function defined by z = f(x, y) = 3xy? – 4y. Find the actual change in z when x changes f...

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Q: 8. f(x) = 2x + Vx

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles...

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Q: (b) Which of the following could be graphs of the function? Choose all that apply. O population year...

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Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

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Q: 2x + 8, z 8 is continuous at z = 8. Justify the conclusion. (i) f(8)= (ii) lim f(r)= Z-18 (iii) lim ...

A: i) f(8)=16ii)limx→8-f(x)=limx→8-(2x+8)                     =2(8)+8                                  ...

Q: dx (x+2)Vx+1

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Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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