7 Σ-2)-5] k=4

Q: Evaluate the limit. Show all work. If any answer is “Does not exist,” explain why.   ??? ?→0    sqrt...

A: Given limit, limx→0 x+7-7x

Q: A. Find the first three terms of the sequence defined by each equation. 1. tn 2n - 7 2. tn = (-4)n 3...

A: 1. Given:                 tn=2n-7 Plug n= 1, 2 , 3 to obtain the first there terms of the given sequ...

Q: Fill in the blank/s: In the equation 3(x2 + 4x) + 4(y2 - 2y) = 32, we complete the square on x by ad...

A: The given  equation is 3(x2 + 4x) + 4(y2 - 2y) = 32

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Q: Consider the following space curve 4/2 r (t) = t²i + 2tj – 2 3/2k a) Calculate the velocity v(t). b)...

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Q: Solve by the addition method 4x + 5y = 3 and 2x - 3y = 7.

A: 4x+5y=3    →12x-3y=7    →2 Now Equation 1-2×Equation 2, we get 4x+5y-22x-3y=3-27⇒4x+5y-4x+6y=3-14⇒11...

Q: Evaluate the limit. Give an exact answer, not a decimal approximation. Show all work. If any answer ...

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Q: Calculus Question

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Q: Calculus Question

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Q: Čonsider the following. y = 18 – 4Vx at x = 25 (a) Find the derivative at the given x-value with the...

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Q: Write the first four terms of the sequence whose general term is given an = 2n/(n + 4).

A: The given sequence is an=2nn+4. Compute the first four terms as follows.

Q: Use direct substitution to find lim tan 0. O v3 O 1 O limit does not exist

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Q: For the scatter plots, determine whether an exponential function, a logarithmic function, or a linea...

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Q: 1 Find the derivative of f(x) = - at x= 3 %3D (Type an integer or a simplified fractic 21 %3D

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Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1(n + 4)

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Q: What do you mean by Jacobian matrix ?

A: The Jacobian matrix for the system of differential equation is, dx1dt=f1x1,x2 and dx2dt=f2x1,x2

Q: The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in the given table. Use transforma...

A: Given function is fx=cos-1x+π2.  

Q: For what values of a and b is the line 5x + y = b tangent to the parabola y = ax? when x = 4?

A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From her...

Q: Use the piecewise-defined function to find the following values for f(x). 2-3x if xs1 f(x) = 4x if 1...

A: The given piece wise function is f(x)=2-3x     if   x≤14x          if  1<x<85x+3    if  x≥8

Q: f(x)=3/x-7 and g(x)=x2+5x what is (f+g)(x)

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Q: 5x + 5 If f(x) find: 5x + 5' f'(x) = | f'(5) = |

A: Given: fx=5x+55x+5 here  5x+5≠0⇒5x≠-5⇒x≠-1 and  fx=5x+55x+5=1 when x≠-1, To find: f'x and f'5.

Q: Finding a rational function Find a rational function r1x2 such that r112 is undefined, lim r1x2 = 0,...

A: Consider the rational function rx=x-12x-2x-1. Note that r0=00 which is undefined.  

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given: f(x)=x29-x2 To Find: Intervals of increasing and decreasing on (-3,3). Concept: (a). if f'(x0...

Q: Question-based on rounding to 2 decimal points...   I have tried it many times but unable to round. ...

A: Given: Initial amount=P=3000 Final amount=A=7000 Interest rate=r=6.5%=0.065 Number of times compound...

Q: Integration techniques Use the methods introduced evaluate the following integrals.

A: ∫x2x+2dx Now put x+2=t⇒1+0=dtdx⇒dx=dt

Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: u(x) = 2 (a) Calculate the derivative of the given function without using either the product or quot...

A: a) If u(x)=xn then u'(x) = nxn-1 ux=x25       =2x5

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Q: 5-

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t. "s"f's=ddss3e4+3e=e4ddss3+3edds1=e43s2+3e0=3e4s2+0...

Q: Read all directions and answer the questions the best that you can. and reasonable work is expected ...

A: problem 1) Given:     y=x2+2, y=6 around x-axis.

Q: If f(x) find f'(3). x2 '

A: To Determine: find f'(3) Given: we know that dxndx=nxn-1 so we have  f(x)=1x2=x-2 Explanation: we wi...

Q: Find the interval for x where f(x) is increasing in this function: y = (x – 2)² - 3 O (- 3, 0) O (2,...

A: To determining intervals where a function is increasing or decreasing, first find domain values wher...

Q: complete the square before using an appropriate trigonometric substitution.

A: completing the square of x2+4x+3 =x+22-1 substituting this value in integral the integral becomes   ...

Q: Use the test of your choice to determine whether the following series converge.

A: Given: ∑k=1∞ak=∑k=1∞k8k11+3 We have to determine whether the ∑k=1∞akseries converges.

Q: 6-

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Q: Factor out the greatestcommon factor :3x2 + 6x

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Q: Evaluate the following limit 361 +h-19 lim h-0

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Q: (2,5) (-4,3) 1.e 4.0 -6 -6 en the graph of y = f(x), as shown above: -What is the domain of f(x)? Wh...

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Q: Volume of a box. an open box with a volume of 1 liter is to be constructed by taking a piece of card...

A: information given:  length after cutout= 29.7-2x width after cutout= 21-2x coutout length=x Volume o...

Q: Calculus Question

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Q: Find y'  if e x/y      = x   -y

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Q: Consider the following space curve 4/2 r (t) = t²i+2tj – V2 p3/2 k 3 a) Calculate the velocity v(t)....

A: a)  For the given space curve,  r(t)=t2i+2tj-423t3/2k To calculate the velocity v(t):  We can simply...

Q: Determine if the function that contains the points below are even or odd or neither and describe why...

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Q: find the derivative of the function  g(s)=8/(s^3-7)^4

A: Known facts: ddx1x=-1x2 ddxxn=nxn-1 ddxfgx=f'gx g'x   The given function is gs=8s3-74.  

Q: Graph please

A: The given polar coordinate is, -2,7π4