Harold uses the binomial theorem to expand the binomial 3x³ (2³). 1 —— 23 (a) What is the sum in summation notation that he uses to express the expansion? (b) Write the simplified terms of the expansion.

Q: Find f[g(x)] and g[f(x)]. X f(x) = +7, g(x) = 4x-5 10 f[g(x)] = g[f(x)] =

A:

Q: . Evaluate lim √²-9. X-5

A: Since you have asked multiple questions, we will solve the first questionfor you. If you want any…

Q: a) r = 2cos50 Name of the graph: Table of r = 2cos50

A:

Q: Use the following nonlinear demand curve QCP)=9801098010 p-2 pa to calculate price elasticity at p=…

A: Given demand function Q( p ) = 98010p2at p = 9 , Q = 9801081 = 1210at p = 11 , Q = 98010121 = 810

Q: b) r = 1- cose Name of the graph Table of r = 1- cose er

A: Given polar curve is  r=1-cos(theta)

Q: Find the equation of a line passing through the point (1,2, −1) parallel to the line x = 3t, y = 1,…

A: Given query is find the equation of the line.

Q: Find the following limit (a) by investigating values of the function near the x-value where the…

A:

Q: 10. sin Y y 8

A: Given query is to find the derivative.

Q: Solve the equation for 0 ≤ 0 < 2π. 5 cos² = 1- cos 0+3 cos²0 O { , } O {5} 3 0 {3,4} O{, T, 5} 3

A:

Q: Find the general solution of the differential equation: y'+2y = xyz. Use lower case c for the…

A: Given differential equation y' + 2y = xy52

Q: In this problem, x = c₁ cost + c₂ sint is a two-parameter family of solutions of the second-order DE…

A:

Q: 1 containing a salt concentration of + 3. A tank contains 100 gal of water and 50 oz of salt. Water…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 18dx 18 + ex

A: To evaluate the following integral. ∫18 dx18+ex

Q: What is the limit of the function based on the given information: f(x)-10 and O DNE O 10 09 O 19

A:

Q: Evaluate the integral. 64 S 64 log 4(x + 64) X + 64 dx log 4(x + 64) x + 64 (Type an exact answer.)…

A: Given query is to fins indicated integral.

Q: Suppose that f(4) = 4,ƒ'(4) = −4, g(4) = 4, and gʻ(4) = 2. If F(x) = (fog)(x) and G(x) = (g • ƒ)(x),…

A:

Q: The position of a particle at time t is given by P(t) = (2+t², t, t²). a) Determine the point at…

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Given data: How do you use the method of cylindrical shells to find the volume,  the x-axis (x=3+…

Q: Use the table of values for the functions f(x) and g(x) below to complete the tables for the…

A:

Q: Use the following: a = 23i +2j -k , b =i -2j Quoted:

A: Component vector of a on b is [(a.b)×b]/|b|.

Q: What is the 5th term in the expansion of (4x³y² — 1⁄y)³? Drag a value into each box to correctly…

A: INTRODUCTION   The binomial expansion is a mathematical formula used to expand the power of a…

Q: Evaluate the integral. (Use C for the constant of integration.) J x-1 x² 18x + 82 dx

A:

Q: (a) Find the slope of the tangent line to the graph y = f(x) when a = 1. - (²)) = ( lim h >0 Slope =…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: When the magnitude of vector b was found in the denominator, shouldn't it have been squared…

A: To explain that the magnitude of vector b should be squared or not.

Q: Now, write a piecewise function, state the transition points and tell the type of discontinuity at…

A: Given:

Q: The crown length of first molars in fetuses is related to the postconception age of the tooth and is…

A:

Q: -d 23 X 2 9+хо dx

A: Given integral:- ∫-∞∞23x29+x6dx

Q: 26. y = tan 0, 0 = Ө π 6

A:

Q: How much work is done (in J) when a weight lifter lifts 190 kg from 1.5 m to 2.0 m above the ground?…

A: As given that mass of the object that to be lift is 190kg and the height to lift is from 1.5m to 2.0…

Q: Find the equation of the tangent line to the graph of f(x) = (4x - x²)(4 - x - x²) at x = 1. y =

A: Given equation of curve f( x ) = ( 4x - x2 )( 4 - x - x2 )at x = 1 f( 1 ) = ( 4 - 1 )( 4 - 1 - 1 )…

Q: Determine the domain where the function is continuous: R(t)= 5t √√3t-12 sin(3t), csc(21)

A:

Q: Average velocity The function s1t2 represents the position of an object at time t moving along a…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find a quadratic polynomial such that f(1) = 8, f'(1) = 2, and f"(1) = 4. f(x) =

A:

Q: Evaluate the following integral. 0 S - In 2 cosh 2² (1) 2 dx 0 S |_ coon ² ()ax= cosh |dx - In 2

A:

Q: 2. If f(x) = x² + 4x + 6, which of the following is equal to f(x + h)? (A) x² + 2xh+h² + 4x + 4h + 6…

A:

Q: Does the function have a maximum or a minimum? h(x)= (x+5)^(2)-7

A:

Q: 2. From 2007 to 2014, there was a dramatic increase of smartphone sales. The number of smartphones…

A: Given:- The number of smartphones in millions sold to end users from 2007 to 2014 is modeled by the…

Q: The motion of a short-distance runner is captured using a motion detector and displayed on the graph…

A: The given data is:

Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and t is in…

A:

Q: 13. f(x) = { 3/x² -3x+5 if x < 1 if x ≥ 1

A: Note: Since the student has mentioned to solve only question no. 13, so we are solving according to…

Q: 7. What are the correct steps to transform the augmented matrix of the following system of equations…

A: The given system of equations, -3x-6y=6-2x+5y=4 Using the Gauss Jordan elimination algorithm to find…

Q: 2x(3x + y-ye-x)dx + (x² + e-x + 3y²2)dy = 0, when x = 0, y = 1

A: The given differential equation is;  2x(3x+y-ye-x^2)dx+(x2+e-x+3y2)dy=0.

Q: 6. f(x) = x² cos x

A: Given query is to find the derivative.

Q: What is the difference between the function f(x) = function g(x)= x + 2? Graph fand g. x²-4 x-2 and…

A:

Q: A car company can sell x SUVs at a price of p(x)=−0.05x+120 dollars per SUV. The cost of…

A:

Q: What the percent of 6/5

A: We find the percent of 6/5.

Q: Line 1: x= 1+ 6t, y= -1 -3t, z= 4+ 3t Line 2: x= 4+ s, y = -10 - 8s, z= 3- 5s a) Determine whether…

A:

Q: Find the average rate of change of the function over the given interval y = √√5x + 1; between x = 3…

A: NOTE: Refresh your page if you can't see any equations. . take x=3

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: