for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u? -(2udu) 4 – u² Option 1 Option 2 - 6 – 4u² -(2udu) 4 – u² Option 3 NONE OF THE CHOICES

Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

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

A: Question 1,Given,           limx→0sinlnx5lnx

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A: topic - application of derivatives

Q: 1 Evaluate J (37 + x°) dx

A: On solving this integration we will get

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

A:

Q: DO NOT include spaces in between characters. * 1 Find f' (-) if f(x) 2 Your answer

A: Solution ) f(x)=1/x2 f(x)=x-2 Differentiate with respect to x  f'(x)=-2x-2-1 [d/dx(xn)=nxn-1 ] f'(x)...

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Q: tude of 76. t shershec imber.

A: answer of given question is in step 2

Q: Find

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

Q: Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 14z ...

A:

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A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: 3.Determine the equation of an ellipse that satisfies the following properties: - the center point a...

A:

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A:

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation....

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

A:

Q: 8 x2 = 4y and y %3D x2+4

A: We have to find the area bounded by the curves.

Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration

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

A:

Q: Prove that lim (9x* - 25) = -9

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: lim(32x-3 + 5) X4

A: The given limit,        limx→432x-3+5

Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

A:

Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits th...

A: Let's find. 

Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the...

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit ...

A:

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

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Q: Use the limit definition in finding/showing what is asked. 1. Find an equation of the line tangent t...

A:

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find. 

Q: Angle A has a measure of 11 Gips. Since an angle making a full rotation measures 15 Gips and Angle ...

A:

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution )a)  S = P e0.12n S' (n) = P (d/dn) e0.12n S'(n) = P × 0.12×e0.12n [ (d/dx)e nx = nenx  ] S...

Q: DO NOT include spaces in between characters. * Find f' (-;) if f(x)= 3. Your answer

A: The objective is to find the derivative  of f at (-2/3).

Q: Q3/B/ Find the value of unknown in the following 1 -2 7 1 -2 7 ? -2 7 19 5+4 ? 1-5 16 6 ? 3 6 -3 3 6...

A: 1-271956c3 + 1-274b16-33 =a-275166-33First row and third row:There are no additions being done on th...

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 ...

A:

Q: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.  

Q: 1 1 The sequence that begins . could be 3 4 5 6' ... a Fibonacci sequence. an alternating sequence. ...

A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: QUN Fiad devalerf (m) that make the ange betueen te ne veopal

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Q: cos v2x be a solution of the differential equation y" + ay'+ by = 0, where a and b are constants. Fi...

A:

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: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

A:

Q: rtoo Е. re dx स०२२

A:

Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x ...

A: We will find the derivatives and value at a point. 

Q: 3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at t...

A: dTdt=-k(T-T0)∫ dT(T-T0)=∫-k dtln(T-T0) =-kt+ln CT=T0 +C e-ktat t=0;T(0)=21°CT0 =-6°C21=-6+CC=27T=T0 ...