16 6e4x _e-2x lim x→-∞ 8e4x-e2x+3e¬x X→-00

Q: - Solve each equation and identify the non-permissible values. Record the answers as exact val x 7 a...

A: a.x4-7x=3x2-284x=3x2-28=12xx2-12x-28=0x2-14x+2x-28=0x(x-14)+2(x-14)=0(x+2)(x-14)=0x+2=0 ⇒ x=-2x-14=0...

Q: Solve the given differential equation by undetermined coefficients. y(4) – 2y"" + y" = e\ + 1 y(x) =

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Q: a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth...

A: A) Price in 1950 = 30,000 Price in 2004 = 104,168,000 V(t) = V0 e k(t) .......(1) where k>0 as th...

Q: Evaluate each of the following indefinite integrals: (tan e +sece")°e*dx let u= du=

A: Topic:- integration

Q: TRANSFER TRAN SFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following in...

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Q: dt 1. cos (2 sin 2r) V1-4r

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Q: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

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Q: 6²f 7. For the functions given below, determine at the given value of ôx² ay? ôxôy x and value of y....

A: While taking partial derivative of f w.r.t. x, consider y as a constant. While taking partial deriva...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Š (-1)" x" n - 0 2"

A: Radius of convergence for series ∑n=0∞an(x-c)n is given by 1R=limn→∞an+1an

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: The given integral is ∫6∞xe-2xdx. Using the integration by parts ∫abuxv'xdx=uxvxab-∫abu'xvxdx, Let u...

Q: 7Tt 2. sin - 12

A: Here we have to find the exact value of       sin(-7pi/2)

Q: Express 5.55 x 102 as an ordinary number.

A: We need to express given number in ordinary number.

Q: dy 1+ sin 4y

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Q: |(csc h5B- coth 5H°¢B

A: To find: ∫csch5β-coth5β2dβ Formula used: coth2(ax)=1+csch2ax∫csch2axdx=1acoth(ax)∫cschaxcoth(ax)dx=1...

Q: Given the diagrams below, fill in the correct missing parts of the equation. Be careful with + and -...

A: For third part of your question reupload it according to bartleby guidelines

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: x²+2 2. ミト

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Q: V# + I Evaluate the following indefinite integral. Use C for any constant of integration. dx J avæ +...

A: Given:       ∫9xx+1dx Taking constant out.     =9∫1xx+1dx    substitute u=x+1→dudx=12x+1            ...

Q: Counting techniques (Using permuations or Combinations): How many outcomes are possible if you roll...

A: Given query is to find the number of possible outcomes when we roll 4 dice.

Q: Determine the coefficient of the 5th term of the Maclaurin series expansion of f (x) = 2 e 4! 51

A: f(x) = x2 e-x f0(x) = x2 e-x f0(0) = 0 f1(x) = -x2 e-x+ 2x e-x f1(0) = 0 f2(x) =(x2 -4x+2) e-x f2(0)...

Q: Activity 1. Evaluate the following limits by applying the Limit of Sum and Difference of Functions. ...

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Q: 4x – 9y = 1 find the first derivative

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Q: The Action Toy Company has decided to manufacture a new train set, the production of which is broken...

A: We hve to draw correct precedence diagram. 

Q: Describe all the x-values at a distance of 24 or less from the number 11

A: The value are belong between  11-24<x<11+24 -13<x<35 So smallest value of x possible=-13...

Q: of salt has been dissolved. Another brine solution is pumped into the tank at a rate 5 gal/min, and ...

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Q: Cos (x) +ry =4 %3D

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Q: Find the asymptotes and the intercepts a)(x-2)/(x2-4x+4) b)(x2-2x+1)/(x3-3x2)

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Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides...

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Q: Find all local extreme values of f(x) 12z 50.

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Q: Suppose an angle has a measure of 125 degrees. A circle is centered at the vertex of the angle, and...

A: We will find the length of the arc subtended by the angle's rays in the following step.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

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Q: 110,000 pr a particular commodity, the demand function is q a. Find e when p = 11. Preview b. Is dem...

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Q: Compute 22 mod 3, 24 mod 5, 26 mod 7.  What do you notice?  Does Fermat predict your answers? (If yo...

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Q: Cxe tyニ3 2. y"=? ニ

A: We will find the y" as shown below

Q: Suppose an angle has a measure of 125 degrees. Another circle is centered at the vertex of the angl...

A: To find out the 1/360th of the circumference of circle and also the circumference of circle.

Q: Find dy/dx by implicit differentiation. x²y2 + x sin(y) = 4 dy/dx %3D

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Q: Question 2: Create a polynomial f(x) with real number coefficients which has the following character...

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Q: Consider the function on graph. Analyze the continuity of this function (continuous or discontinuous...

A: Consider the function on graph.

Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the volu...

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Q: Find the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel...

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Q: 49. Double declining balance depreciation. An office machine is purchased for $5200. Assume that its...

A: Given problem:- Double declining balance depreciation. An office machine is purchased for $5200. Ass...

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: %3D Find the angle of intersection between the curves xy +y =1 and y = (x+ 1)- O 87.96 degrees 69.78...

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Q: Decide whether or not the functions are inverses of each other. tive function

A: Given that, There are two graph of two functions. We have to find that, both graph are inverse of ea...

Q: Determine whether the statement is True or False. If lim f (x) and lim g (x) both exist, then lim (f...

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Q: Find the length of the curve y = x³/2 from x = 0 to x = 5. O 12.407 O None of these O 14.702 O 17.02...

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Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.