Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: x2 22-23. Find the derivative: y = x-11 22x A) (xー11)? B) (x-11)2 x2-22x C) (xー11)? x²+22x D)…

A:

Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

A:

Q: polar com 2) (3, 240°) 90° 120° 60° 150° 30° 0- 180° 2 3. 330° 210° 300° 240° 270°

A:

Q: The initial population of a city in the year 1998 was 128 000. The rate of change of its population…

A:

Q: x + 4 dx x² + 2x + 5

A: Given ∫x+4x2+2x+5dxTo evaluate the integral:

Q: 1) Find the Taylor series for f(x) = In x centered at 3. Show All Your Work.

A:

Q: .

A: We will find the temperature.

Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

A:

Q: lim X-3 x +3 -3

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

A:

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Test the series for convergence or divergence. Use the Select v and evaluate: lim (Note: Use INF for…

A: To find whether given series is convergent or divergent.

Q: 2. Evaluate: | V12 – x|+x dx

A:

Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Let the width of rectangular region be ' w '

Q: The general solution of y" + y = cos? x

A:

Q: (b) y when y=3 cos t

A:

Q: Vector Magnitude Correct? p= N w =-2i + 6j

A:

Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below

Q: Problems for Accumulation: 2. Accumulate P20,000 for 3 years at 7% simple interest.

A: A detailed solution is given below.

Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

A:

Q: An 1+- n

A:

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

A:

Q: Jy ニ0 (y cosxy +1) dx + z0- (xcosty +2y=3) dy

A:

Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: Find f'(x). Given: f (x) = 5xv3x² – 4

A:

Q: The time t taken for an investment to increase by 40% when the interest rate is 3% is given by t= ln…

A: We have to find the time.

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

A:

Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

A:

Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x²ym) +…

A: To find out the nth derivative of the function.

Q: 6. If y = x In 2x find y(3).

A:

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: 2. Let R be the region in the first quadrant bounded by the graph of y = Vx-2 and the lines x-2 and…

A: Note:  As per our guidelines, we are restricted to solve only one problem. Hope you will understand.…

Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…

Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: find Ahe Longth o fthe cerc 2 froom @aobo @-

A:

Q: of of For the function f(t, æ) = sin (4xt + 9a), find and da of (Type an exact answer in terms of…

A:

Q: For an arithmetic sequence a31=67 . if the common difference is (-4), find a1 and the sum of the…

A:

Q: 4. (a) (i) Calculate (4 + 10i)?. Answer:

A:

Q: f(x) = 2x2 +1

A:

Q: 5. (a) Let z = (a+ ai)(b+ bv3i) where a and b are positive real numbers. Without using a calculator,…

A: See the answer below

Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

A:

Q: Find the constant a such that the function is continuous on the entire real line. Ssin x g(x) = if x…

A:

Q: 4. Find the maximum value of f (x) = In(x – In x) on the interval -sse. e

A:

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

A:

Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x