14. Determine the "limit of 5 as x approaches to 2". a. 4 b. 3 c. 2 d. 1

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: Fg(x) = 1 Vx-1

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Q: B. Directions: Using special functions, evaluate the following:

A: Question 1,Given,           limx→0sinlnx5lnx

Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers ...

A:

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: Find

A: We will find the derivative of the above function using logarithmic differentiation. 

Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

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A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | – 7 <y < 0,0 < ¤ < y, 0 < z < ¤ + y?} . Round your answe...

A: We have to find the above triple integral solution. 

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

A:

Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: Consider a closed rectangular box with a square base with side length `x` and height 'y'. Find the s...

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Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: (a) We are given the vector v = &lt; 15 , -8 &gt; The magnitude of vector v ||v|| = √(152+(-8)2) =√(...

Q: continuity

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is construc...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

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Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

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Q: Find the arc length of the parabola y² = x from (0,0) to (1, 1). (Note that y² = x is not the same t...

A: Length

Q: 3. Determine whether the series below converges or diverges using the test that you think is easy! 2...

A: Solved below

Q: Find f'(x) and f"(x) of f(x) = 11x³.

A:

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line...

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Q: 3t² Determine f'(2) if f(t)=log10 2t – 1

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Q: 11. An object moves along the x-axis so that at any time t2 0, its velocity is given by v(t) = 4 – 3...

A: Find your answer below 

Q: Find the fifth partial sum, S5 =E=14( n-1 4(2"*. Write as a fraction reduced to lowest terms in the ...

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

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Q: Consider the points A(1, -1, 2), B(2, –3,0), C(-1,-2,0), and D(2,1, –1). (a) Find the volume of the ...

A: Here, the given vectors are: A(1,-1,2), B(2,-3,0), C(-1,-2,0) &amp; D(2,1,-1) (a) Here, AB=(2,-3,0)-...

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: ctoo The improper integral I' dx converges for p<-1. True False

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Q: B) Use the diagram below to identify points, lines, and the plane. 1) List three collinear points. 2...

A: Given question:-  use the diagram below to identify points

Q: The equation r(t) = (3t + 9) i + V5t) j+ (2t) k is the position of a particle in space at time t. Fi...

A: This is a combination of vector and application of derivative problem

Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

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Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)², and passing throu...

A: slope m at (2,1)  m = 2(2+5)2 m = 2*49 m = 98 so line equation y - y0 = m(x - x0 ) y -1 = 98(x - 2) ...

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

A: P(1,3,-4)Q(0,0,0)R(3,5,1)

Q: lim 4 sin(x + n) + 3

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Q: Below is a graph of the derivative of a function f. y 3| (x from -1.3 to 2) A.0 -0.5 -1 0.5 1.0 1.5 ...

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Q: 5. The graph of y= h(x) is shown below. The function f(x) is defined by f(x)=--h(x)+3. (a) What thre...

A: Let's find. 

Q: The sum of a geometric series is as follows: S = 1.0 + 1.1 + 1.21 + 1.331 +... up to 50th term. Dete...

A: SUM OF GEOMETRIC SERIES

Q: Evaluate (x" S (aT +") da 3x Answer: Submit Answer

A: We will solve the integration. 

Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

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Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt

Q: a. Use integrals to show that the circumference of the circle z2 + y? = a² is 27a. %3D b. Find the l...

A: Given that equation of circle x2+y2=a2center of circle 0,0  and radius =aSolution :x2+y2=a2y=±a2-x2o...

Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v a...

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Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: - Trigonometric Integrals S cos 3x cos 5x dx

A: Solved below

Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

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Q: x + y = 5,y = 0,x = 0; about y =

A: Topic = Volume