Show that h, G) = (x+ n) converges %3D x4り? pointwise fo fa)=1, VXE [I, ) ノ

Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Here we have to find out the solution of the given differential equation

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

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Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

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Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

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Q: 1. Sketch the graph of y=2-x. 2. If fx) =x(*+2)(z-3), use interval notation to give all values of x ...

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Q: This answer is not correct

A: Given that: limt→09t1+t-9t

Q: 3. (х+1)dy %3D (2хе* - ху-2у)dx

A: Given :   (x+1) dy=(2xe-x-xy-2y)dx

Q: Question 2 Consider the region R in the ry-plane bounded by y = e", y = 1 and r = 1. (a) Set up, but...

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Q: 2.x+y=3 3x-y=2 A Give the coordinates of each corner as an ordered pair. Parentheses and comma requi...

A: We can find the coordinates of point A and B as below.

Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54...

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Q: estimate the following limits and the function value. Complete parts (A) through (D). Use the graph ...

A: This question is related to limit. Solve in step 2.

Q: (S'34) 9uq Find vector, parametric, and symmetric equations of the line through (2,3,4) and is perpe...

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Q: 10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observe...

A: From Pythagoras theorem  for a right angle triangle with base a, height b, hypotenuse c we have, a2+...

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 18 sin(x), a = . %3D (...

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Q: Determine if the function is a solution to the given differential equation. y = e7x −  ex 6 solves y...

A: The objective is to determine if the function is a solution to the given differential equation.

Q: Find f'(x) for f(x) = – 3x*. f'(x) =

A: Given query is to find the derivative of the expression.

Q: Where is the graph not differentiable? a. x = -2, -1, 0 b. x = 0 c. x = -2, -1, 0, 1 d. x = -2, -1,...

A: Given query is to find where graph is not differentiable.

Q: the pern P(t) = 6t + 18 dollars per barrel (0 sts 10) in year t, where t = 0 represents 2000. Saudi ...

A: Revenue

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y...

A: Given that: y=8x2+9x-7

Q: dx x² Vx² +9

A: Given that a integration of 1/(x2√x2+9). We know that Integration power rule is given  as - integrat...

Q: find the work done by F over the curve in the direction of increasing t. F = z i + x j + y k r(t) = ...

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Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: x' +2y² Show that does not exist. lim (x.y)-0,0) 2x

A: Along y = x:     limx, y→0, 0x2+2y22x=limx→0x2+2x22x=limx→03x22x=limx→03x2=0

Q: 1. cos'x sin x dy + (y cos³x - 1) dx = 0 2. xy' =2xex - y + 6x2 3. (x+1)dy = (2xe* - xy - 2y)dx 4. y...

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Q: 2. y= cos (x³ + 1)

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Q: QUESTION #3 DRUG DOSAGES Thomas Young has suggested the follow- ing rule for calculating the dosage ...

A: This is a problem related to derivation of the function.  Here we will first differentiate dosage wi...

Q: Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x + 16...

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Q: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in t...

A: To determine the average value of the function y=x sin2x on the interval 0, π2.  

Q: ASK YOUR TEACHER PRA -x²/2 from x = 1 to x = 1.4. (Ro 27

A: Use Simpsons rule with four subdivisions to approximate the area (in units^2) under the probability ...

Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y s 5 x2 0, y 20 The maximum is at (Give this answer as...

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Q: Consider the series. 00 9n Σ 3/5 n=1 (n2 + 1) 9x Let f(x) = Find f' (x). 3/5 (x² + 1) (Express numbe...

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Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: Find the parametric equations for the path of a particle that travels three quarters of the way arou...

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Q: y = 3x - 1 + Ce-3x Find the orthagonal trajectories to the given curve.

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Q: Y(s)=s^2+9s+19/(s+1)(s+2)(s+4) Solve for partial fraction expansion

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Q: Find equations of the tangent lines to the curve 2y² + xy – 3x² 8 at the point or points where x = 0...

A: The curve 2y2+xy-3x2=8 at the point where x=0

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

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Q: its xn-yn instead of xn+yn

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Q: neat and orderly manner. linear equations:

A: Find the general solution  (D4 -2D3+D2)y= 0      

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

A: Given s(t)=3t3+6t+9We know that v(t)=ddt*s(t)We know that ddx(xn)=nxn-1v(t)=ddt(3t3+6t+9)      =9t2+...

Q: d the der

A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h Wh...

Q: y = sin(Ax + B)

A: We will find the Differential equation as following. 

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: A o 5. Find the complementary angle of 26- Ao is 4 The complementary angle of 26= (Simplify your ans...

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Q: region bounded by the parabola y=4x-x^2 and the x-axis is revolved about the x-axis. A second region...

A: This is a question related to volume generated by solid revolution. Based on the plotting of graph w...

Q: sin xcos* xdx х cos

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Q: lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

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Q: f(6 + h) – f(6) Find lim if f(x) = - 9x – 1. h→0 f(6 + h)-f(6) lim (Simplify your answer.) %3D

A: