d*y 4. Find 5 of the function f (x) = - e dz"

Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

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Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

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A: topic - present value 1year =52 weeks

Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: p dq , for demand q and price p. Find the general equation q = f(p) where E = 3. (Hint: Set the elas...

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Q: f(x) = { * ах 2 + ах —4, х> 2

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

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Q: Sketch the graph of the given function. Check your sketch using technology. g(t) = (a) Indicate the ...

A: ?As per our company guidelines we are supposed to answer only one question at time or moreover 3 sub...

Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

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Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you 

Q: A community had an initial population of 6000 people in 1990. (a) First assume that the population ...

A: NOTE: Refresh your page if you can't see any equations. . the population decreased by a constant 100...

Q: Find the values of c that make f continuous everywhere: S2² - c | cr + 8 if z 14 smaller c = O 8 O ...

A: The objective is to find the values of c that make f continuous everywhere.

Q: dP Recall that in a class this week, we discussed a problem where we are given = rP. K К -Р where r ...

A:

Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: Solve: |x + 1| > 4 Give your answer as an interval. Question Help: D Video M | Message instructor Su...

A: Topic:- algebra

Q: S2x°(3- 5x*)'dx Given: Find: Formula 10 Judu Sudu 2 fu'du -2 fu' du

A:

Q: Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

A: We have to find given indefinite Integration.

Q: 10. Using back calculation, find out what the function f(x) should be so that the second derivative ...

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Q: 15 x 15

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Q: For a long-distance phone call, the phone company charges $0.65 $⁢0.65 for the first 3 3 minutes or ...

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Q: The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6...

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Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

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Q: Part of the piecewise-defined function (x – 1) + 2 if 0 < ¤ < 3 f(x) = b if x = 3 mx if 3 < x < 6 is...

A: Given problem:-

Q: = 2.4 · x and g(x) 6. x2 and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of th...

A: The given question has been solved in detail. 

Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: 1 dx. 10. Evaluate the improper integral m 64 + z²

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Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: minimum values and saddle point(s) of the function, If you have three-dimensional graphing software,...

A:

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

A:

Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)...

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if f'x=06x1+2x2-4x3x21+2x22=06x1+...

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

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Q: Given the graph below, which of the following statements is TRUE? I. lim (sin z) = 1 II. lim (sin z)...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the function is continuous ...

Q: Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure b...

A: Question : Graph the function, not by plotting points, but by starting from the graph of y = ex in t...

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

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Q: ку — 1 x²y 1 dx dy = 0 ху?

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Q: 3. y = x³ – 3x² + 2x – 6 ACTIVITY 1. Find the deriva 1. f(x) = -2 2. g(x) = 4x3 %3D 2 %3D -

A: Solution:As per our guidelines we are supposed to answer only three questions. Here  f(x)=-2

Q: 2. If not, indicate Given the function below, determine if the function is continuous at the point I...

A: We need to check continuity of given function.

Q: Suppose the distance between w and -3 is greater than 5. (a) Enter a compound inequality, not involv...

A: This question can be solved by the concept of number line.

Q: 6. The total cost, C, in thousands of dollars, of producing x number of water tanks can be modelled ...

A: We have to find the marginal cost and domain.

Q: Given: [2x? (3-5x*)" dx 2x3 (3 – 5x Find: Formula o fu'du 02 fu'du O-2 fu'du Su du 1 10

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