Subject: precalculusThe topic to be presented is: Introduction to Calculus Question 9OOOOUse the Binomial Theorem to expand and simplify the expression.(2-3x) ³32-27x + 54x - 18x + 8-27x³ + 104x² - 36x + 83-27x + 54x3-27 X +82- 36x + 8 Question 7OOOOHalla Psi Pk +17 +13 + 19 += 7+13 + 19 + ... + [6 ( k − 1) +1] + (6 k + 1):k+ [6 (k-1) + 1] + (6k+1) + (6k + 2)8 +14+20 +...+ [7 (k − 1) + 1] + (7k + 1)7+13 +19+...+ [6 (k − 1) + 1] + (6k + 1) + [6 (k+ 1) + 1]7+13 +19+...+ (6k + 1)

Answered: Use the Binomial Theorem to expand and…

Use the Binomial Theorem to expand and simplify the expression. (2-3x) 3 2 -27x + 54x 18x + 8 -27x³ + 104x² - 36x + 8 3 -27x + 54x 3 -27 X +8 2 36x + 8

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.6: Binomial Theorem

Problem 45SE: In the expansion of (5x+3y)n , each term has the form (nk)ankbk ,where k successively takes on the...

See similar textbooks

Related questions

Q: O Make a graphical tool to approximate the limit of the function. If necessary, round to three…

A: The limit of a function can be found by using the graph or by finding the table of values to the…

Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

Q: Find the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where…

Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula: sin2x=1-cos2x

Q: Given one form a line, match it with its equivalent equation in another form. = 0 { y = 1 Z=t 1. 2.…

A: We are given a line in 3d space x=0 y=1 z=t We are to find the general equation of the given line

Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

Q: Find the distance, d, between the point S(9,3,6) and the plane 1x + 1y+7z= The distance, d, is…

Q: Given below are descriptions of two lines. Line 1: Goes through (-4,10) and (0,4) Line 2: Goes…

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is, as we know,…

Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

Q: 4. y=sin(3x) • cos(2x), y'=?

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

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A: The given surface is:f(x, y, z)=2x2-3y2+2z2-17 The given point is: P=-1, 1, 3

Q: 3 What is f S₂² 1+1/2² dx ?

Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: The Eighth Gate Arriving at the eighth and penultimate gate, you immediately get to work. "Computer,…

Q: A. Use the chain rule to find and as functions of x, y, s and t. Əs Ət əz Əs əz Ət = B. Find the…

A: We have, z=(x^2*sin(y)), x=(5s^2−3t^2), y=(−2s*t)

Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

Q: can you explain how you got (x-2)=(t-3) and can you explain how you got the new limits because the…

A: Given:

Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

Q: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: What is the complex number z = -3 + 3√3i represented in polar form? Enter your answer by filling in…

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines [x, y, z] =[-2,3,-3]+t[1,-1, 2] ----(1) and x=3-t y=-5+ 2t…

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have, 2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Find the local linear approximation of f(a) = 2√ at x = 4. Oy=(x-4) O y-2√x-4 Oy=4 Oy=x+2

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

Q: S sinxdx 7+ cos²x

A: integration ∫sinx7+cos2xdx

Q: Solve the following differential equation y"+y' = sec(x).

A: We have, y'' + y' = sec (x)

Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

Q: The owner of a skating rink rents the rink for parties at $440 if 20 or fewer skaters attend. For…

Q: 38. f(x) ex 1 + et

A: Since you have posted multipart question, i can do first three subparts as per our company…

Q: Subject :- Finance Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: 10

A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: 4 (3x² – √x) dx

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

Q: a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩. Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector…

A: vec a = < 2, - 3 > vec b = <1, 4 > to evaluate and draw vec a + vec b by parallelogram…

Q: 8. A = (1, 1, -2), B = (-2,3,1), what's the angle between A and B?

Q: Use the graph to estimate the limit of the function shown in blue as x→-1. O The limit does not…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 3.5 5.7 7.9 9.11 (Use symbolic notation and…

Q: Consider the lines shown below: 61 5 ++ 3- 27 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 2 3 4 5 6 For each…

Q: Consider the following vector function. r(t) = (3t2, sin(t) - t cos(t), cos(t) + t sin(t)), t> 0

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A line has slope -3 and y-intercept 5. To find the vector equation of the line.

Question

100%

Subject: precalculus
The topic to be presented is: Introduction to Calculus

Question 9
O
O
O
O
Use the Binomial Theorem to expand and simplify the expression.
(2-3x) ³
3
2
-27x + 54x - 18x + 8
-27x³ + 104x² - 36x + 8
3
-27x + 54x
3
-27 X +8
2
- 36x + 8

Question 7
O
O
O
O
Halla P
si P
k +1
7 +13 + 19 +
= 7+13 + 19 + ... + [6 ( k − 1) +1] + (6 k + 1):
k
+ [6 (k-1) + 1] + (6k+1) + (6k + 2)
8 +14+20 +...+ [7 (k − 1) + 1] + (7k + 1)
7+13 +19+...+ [6 (k − 1) + 1] + (6k + 1) + [6 (k+ 1) + 1]
7+13 +19+...+ (6k + 1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Q&A guidelines

VIEW

Step 2: Given

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In the expansion of (5x+3y)n , each term has the form (nk)ankbk ,where k successively takes on the value 0,1,2....,n. If (nk)=(72) what is the corresponding term?
Find the fourth term of (3a22b)11 without fully expanding the binomial.
1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2
only question 12 question about：THE S + N DECOMPOSITION
Find a polynomial of degree n=4 that has the given zero(s) x = −4, −1
What is the coefficient of x^n for the generating function (1)/(1+x)^2?
question 1 how did u get the 1/3 and the 3log ?
Find pmf of X in question 3
The degrees of freedom for an independent samples t-test is calculated by: Group of answer choices taking the sample size of one group and subtracting one. taking the sample size of one group and subtracting the sample size of the second group. adding the size of the two samples and subtracting two. using a complex formula that integrates the sample sizes and sample variances.
If H1: μ1 – μ0 < 0, then zobs = -1 has a lower p-value than zobs =1. True or false?
5. For f(x) = 1 –x2on [−2, 1], do the hypotheses and conclusion of Rolle’s Theorem hold?
Two interacting populations of hares and foxes can be modeled by the recursive equations h(t + 1) = 4h(t) − 2 f (t) f(t+1)=h(t)+ f(t). For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t). a. h(0)= f(0)=100 b. h(0)=200, f(0)=100 c. h(0)=600, f(0)=500