(3x)" (2n)! n=0

Q: suppose that lim x->2 f(x)= 3 and lim x->2 g(x)= -6. Find the following limits.a. lim x->2 ...

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Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

Q: Write the function z = xy + x - y in the form F(x, y, z) = 0.

A: Given: z=xy+x-y for writing given function in the form of Fx,y,z=0 we need to do transportation of z...

Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and...

Q: Solve the triangle shown in the Figure  with A = 64°, C = 82°, and c = 14 centimeters. Round lengths...

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Q: Solve absolute value equation or indicate the equation has no solution. 2 |4 -5/2x | + 6 = 18

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Q: zoom for a better view

A: P = principal amount or Present Value  R = annual rate of interest T = time duration applicable for ...

Q: 2. The popu lation of certain country is known to increase as a rate proportional to the number of p...

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Q: Determine the quadratic function whose graph is given below. The quadratic function which describes ...

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Q: Use the given conditions to write an equation for each line in point-slope form and slope-intercept ...

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Q: Is the rate of change of a linear function constant? Explain.

A: The function is a linear function. The linear function is of the form Ax+B, here A and B are the con...

Q: Graph the functions

A: Consider the given: y=1x-2Let y=fxfx=1x-2 To graph the function, calculate: Domain of 1x-2:  -∞,2∪2,...

Q: dy Simplify, and then find dx where y = log(10²)(sin-14x)(Ine") (3sec2x)

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Q: A culture of bacteria originally numbers 500. After 2 hours there are1,500 bacteria. Assuming expone...

A: Given Initially bacteria are 500 after 2 hours they are 1500 

Q: evaluate the limit using the Basic Limit LLlws and the limits lim xPfq = cPfq and lim k = k.        ...

A: Given: limt→41t+4=?

Q: Graph the polar equation. r=6 sin 30 O A. Q 10 10 10- 10- -10 10 -10 10 -10 10 -10 10 -1어 -10 -101 B...

A: GIven polar equation r=6sin3θ

Q: Use the function to evaluate the limits of the following

A: The given expression  lim f(x)x→-4- means value of f(x) at x=-4 when x approaching -4 from left  

Q: Absolute maxima and minima Determine the location and value of the absolute extreme value of ƒ on th...

A: fx=4x33+5x2-6x on -4, 1 Differentiating with respect to x, we get f/x=4·3x23+52x-61     ∵dxndx=nxn-1...

Q: Identify and sketch the surfaces x2 + z2 = y2

A: Given surface is x2+z2=y2. The given equation is in the form of x2a2+z2c2=y2. So, the given surface ...

Q: | (sin? x – sin x) dx

A: To Integrate    ∫(sin2(x)-sin4(x))dx

Q: Integrating with repeated linear factors Evaluate f (x) dr, where 5x² – 3x + 2 f(x) x – 2x?

A: f(x)=5x2-3x+2x3-2x2   To find: ∫f(x) dx [By partial fractions]

Q: Working with vectors Let u = 83, -49 and v = 8 -1, 29 . Evaluate each of the following. -3v

A: Given that, u=83, -49v=8-1, 29=7, 29

Q: Clairaut'sT heorem If fxy and fyx both exist and are continuous on a disk D, then fxy(a, b) = fyx(a,...

A: Given that: Clairaut's Theorem:  If f x y  and f y x both exist and continuous on a disk D, then f x...

Q: Conoider the pooition finchion, s=-16t't h8t t6, of a ball thrown upward, where s 1s n feet and € is...

A: Given function  s(t)=-16t2+128t+6 Our aim is to find average velocity and instantaneous velocity at ...

Q: How do I solve

A: Given that: The table :

Q: 2x+1, x <0 Evaluate the function x) = at 5) %3D 2x+ 2, x 2 0

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Q: Calculus Question

A: Evaluate f(2)

Q: Solve the equation below graphically, numerically, and symbolically. Then solve the related inequali...

A: a) We have to find solution of 3x-2=6. We know that x=±x Therefore, given equation can be written as...

Q: Write the given expression in the form f(x)=a(x-h)2+k. Identity the vertex.f(x)=x2+8x-19a) Write the...

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Q: c2-

A: Given:

Q: Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs of ...

A: Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs of ...

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis hor...

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is eq...

Q: Calculus Question

A: Consider the function  f(x)=−132x+13sinx  

Q: Limits of functions Evaluate the following limits.

A: The given expression limx,y→1,-2y2+2xyy+2x

Q: Find the local minimum and maximum values of the function    f (x) =  3x4  -4x3 -12 x 2  +5

A: Given function is fx=3x4-4x3-12x2+5. Compute the derivative. f'x=3x4-4x3-12x2+5'=12x3-12x2-24x Obtai...

Q: Make a complete graph of the following function. A graphing utility is useful in locating intercepts...

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Q: 1. Decide whether the following statements are True or False. Provide a short justification for each...

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Q: Rewrite the expression [sin(α + β) - sin(α - β)]/[cos(α + β) + cos(α - β)] as a simplified expressio...

A: Given expression, sinα+β-sinα-βcosα+β+cosα-β

Q: Find the limit

A: Given limit expression islim△x→0x+△x3-x3△x.

Q: When is a function said to have the Intermediate Value Property?

A: Let's f be a function with domain [a,b]

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equat...

A: given  y=xy=0x=3

Q: A) Evaluate the related 1) 2, 12, 72, 432

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST QUEST...

Q: Eliminating the parameter Eliminate the parameter to expressthe following parametric equations as a ...

A: Consider the following equations: x=tant                                  ...... 1y=sec2t-1         ...

Q: x2 – 1, if x 1 Let f(x) (a) Is y = f(x) continuous at x = 1? (b) Is y = f(x) continuous at x = 2?

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Q: Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage su...

A: A parameter is a numerical measurement of a​ population. a statistic is a numerical measurement of a...

Q: determine the annihilator of the givenfunction. F(x) = 4e−2x sin x.

A: Given F(x)=4e-2xsinx The given function is of the form eaxsinbx Corresponding "Roots of polynomial" ...