The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 o g' (n) = 27 %3D o g' (n) = 0 o g' (n) = 5 2 o g' (x) = 1

Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

A: Given problem:-

Q: x + px+6, x22 (b) Functions f(x)={ x-2, x<2 (4– 2x, x22 and g(x)={ are 9-x, x<2 continuous at x= 2. ...

A:

Q: 3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

A:

Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1' Pa(x) %3D

A: Maclaurin series is given by f(x)=f(0)+xf'(0)+x22!f''(0)+x33!f'''(0)+x44!fiv(0)+.... Given f(x)=2x-2...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A:

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

A:

Q: A vertical wall makes an angle of radian measure ?n with the ground. A ladder of length 20 ft is lea...

A:

Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

A: derivative

Q: entences. 5k + 7k +1 3k* +8k? +9 -). az

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine if -1 CSC if 0 1 is continuous or not at r = and 1. If it is discontinuous, identify the ...

A:

Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

A: This question can be solved using the concept of integration by substitution.

Q: 4. y dx + (3xy + y – 1) dy = 0 ans. y? (y? + 4xy- 2) = c

A:

Q: (4x + 8x - 9x - 7)dx 2. 2x -1

A:

Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

A:

Q: Using Newton's Method, determine the first approximation to the solution of: e1 x = 2 − 3 x startin...

A:

Q: The following diagram shows a sketch of a curve with equation y = f(x). The points A(-3, 0), B(0, 0)...

A:

Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

A:

Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z9 = 1 k =

A: The given function is 3ln(x);x0=1.

Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

A:

Q: х — 2 1. f(x) (2? — х + 1)2

A:

Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

A:

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

A:

Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: Question 7 dx 7-9e-2x Using u-substitution and transforming the integrand, find du. Given: A 14e2xdx...

A:

Q: 2) A farmer wanted to plant six different crops in a rectangular field. To protect it from animals t...

A:

Q: Find dy/dx for the following function: X+ tan (xy)-0

A:

Q: Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for Sx as an...

A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used: Th...

Q: Evaluate the following limits using L'Hôpital's rule   2. lim x→0+ tanh x/sechx − 1

A:

Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

Q: Determine whether the series converges. k=1

A:

Q: Consider the series >. 1 1 and 1 n312 n=1 n3 + 6n n=1 Write an inequality comparing 1 1 to for n 2 1...

A: We know, n³+6n-1≥n³ for all n≥1    

Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

A:

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y2 = x and y = 2 ...

A:

Q: lim

A: Put x=0 this is not a indeterminate form. 

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A:

Q: Water is running out of a conical tank 3m across the top and 4 m deep at the rate of 2m3/min. Find t...

A: Here, the volume of the conical tank is: V=13πr2h   ...(1) Here, here triangles ABC &amp; DEC are s...

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: Which of the following are the first four non-zero terms of the Maclaurin series for f (x) = sin(x) ...

A: the given function f(x)=sinx2

Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

A:

Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: Evaluate lim (r+ 2) cot(²+5x+ 6). 2+-2+

A:

Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

A:

Q: 7 1 Calculate the following limit. Let an = Vn + In (n) and bn Vn (Give an exact answer. Use symboli...

A: Let's find. 

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

A:

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel. |

A:

Q: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a...

A: topic- application of derivatives