Use the formula for nPr to solve:A corporation has ten members on its board of directors.In how many different ways can it elect a president, vice president, secretary, and treasurer?

Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Solution

Q: If bn = determine whether this sequence converges or 271 Convergent, give the limit of this…

A: we know that sequence is defined as the set of natural numbers N and X any set, then a function…

Q: Evaluate the following integral. S= 2 x³√x² - 1 dx =

A:

Q: ntegrate the following. I 8x 12e dx - =

A: Given query is to find the integral.

Q: 3. m 1 773 7/2 The graph of the function f(x) = cotxe is given above for the interval x = [0, 2π]…

A: The graph of the function fx is To evaluate: The values of limx→π-fx,  limx→0+fx

Q: Homework 3.3 For #1-8, differentiate 1. f(x) = x² cos x

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Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

A:

Q: Suppose that F(x) = √ (t +)dt where x < 0. Using the Fundamental Theorems of -4 Calculus, find the…

A: Given ; F(x)= integration of (t+1/t), t from -1/x to x2.

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

A:

Q: -6 (-3,1) -5 86°F Sunny I 1 -4/ -3 -2 1 / -1 4 3 2 - 0 -1 -2 -3 -4 -5 -6 2 W Use the graph to…

A: Given query is to find the slope of the tangent line.

Q: Elimination of Arbitrary Contants 1. y = peax cosbx + yeax sin bx 2. y = c₁x + c₂ex ; a and b are…

A: we need to eliminate the arbitrary constants C1 and C2

Q: Evaluate the following integrals: 8 3 S(4 + 3√x) (2x + √x ³) "dx

A: SOLUTION-

Q: Use the formula for nCr to solve:An election ballot asks voters to select three city commissioners…

A: Given: n = 6 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A:

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A:

Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

A:

Q: A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the…

A: Given :- dNdt=-0.069N

Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

A: We need to find partial derivative. NOTE - As per Bartleby guidelines we can solve one question.…

Q: Use the Fundamental Counting Principle to solve:A restaurant offers the following lunch menu. Main…

A: Given data:- A restaurant offers the following lunch menu:- Main Course      Vegetables…

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire…

A: Binomial expansion is to expand and write the terms which are equal to the natural number exponent…

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1

A:

Q: Given the differential equation: (4xy + 3y² - x) dx + x(x + 2y)dy = 0 The solution to the…

A:

Q: Find the general form of f if f'(x) = 5f(x) f(x) =

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

Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

A:

Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D.4 O E. None of the Choices alt + dx…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A:

Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Order: The highest order derivative of dependent variable present in the differential equation is…

Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

A:

Q: Differentiate: e6x² A) 6e6x²-1 D) 12xe*-1 B) e 6x² E) 12xe6x² C) 2ex-1 F) 12xe*

A:

Q: State in interval notation where the graph is differentiable. A) (-∞, -1) U (-1,3) U (3,00) B)(− ∞,…

A:

Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: 10. Determine the convergence of the following series using the root test. If the root test is…

A: Given data:- The given equation, ∑n=1∞n+1n+2n

Q: Use the Fundamental Counting Principle to solve:You are taking a multiple-choice test that has five…

A: Given data:- n = number of questions = 5 Number of choices for each question = 3 We have to find a…

Q: 1. y' + ytanx = COSX; y(x) = (x + c)cosx; y(π) = 0

A: y'+ytanx=cosxy(π)=0proove that  solution isy(x)=(x+c)cosx

Q: Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² ‡ (wo)². NOTE: Use…

A: Solution: Given data, y"+(w0)2y=cos(wt) Lets compose the auxiliary equation m2 + w02  =0 m1 = iw0 m2…

Q: Graph the function y = sqrt(|x|)

A: Given data:- The given function y= sqrt(|x|)

Q: Solve by the method of your choice:From a club of 20 people, in how many ways can a group of three…

A: Given data, n=20 r=3

Q: Find the interval of convergence of the following series Σ(-1)₂(x - 2)n n5n n=1

A:

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: 5x2+x+4 2 (x² + 2)(x − 6) – dx =

A:

Q: Consider the integral given by Using the following definition of the integral Ax n 4 [ (x² + 2x - 5)…

A: Solution

Q: Find the particular solution of each of the following. (4+sine)y'=e*(6soc² e* - ycose); y(ln x) =…

A:

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: Filling a Conical Tank Water is poured into a containerin the shape of a right circular cone with…

A: Volume of the cone=13πr2hGiven:-Radius of the base of cone=4 feetheight of the cone=16 feet.and…

Q: Find the exact length of the curve. y=ex, 0≤x≤ 3

A: Length of curve =∫ab1+dydx2dx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.