Evaluate the given expression. Compare the result to the 5th row of Pascal's triangle. (a) = (b) (1)-0 0 4 ((:)-- (A) = (e) 3 || ~(:)-0 (c) =

Q: Which number is equal to e-i2m3n/32 (n) ei273n/32 (U) ei2n29n/32 (A) ei2m6n/32 (1) ei2726n/32

A:

Q: don't understand why the -x disappears for the left side of the product rule procedure for the…

A: f(x) = xlnx -x Here the product rule applied on the term (x lnx) only. f'(x) = d/dx (xlnx) + d/dx…

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: xả 5x = 24 x²5x24 = 0 a = 1 b = -5 c = -24 -5+ √(-5)² - 4(1)(-24) 2(1) -5 + √25 +96 2 −5+√121 2…

A: Solution is given below:

Q: (*+)(LX +ン 2" (2n +1)

A:

Q: 3{2x-2[x-5(x+4)]}

A: We have to start from inside we first distribute -5.

Q: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: (b) Simplify the following equation using positive indices only 8(3x+2)27(2x+0.5) 18 * 81(x)32(x+1)

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: 67. (x + 1)(x + 1)(x - 1)(x - 1)

A: Rearrange (x+1)(x+1)(x-1)(x-1) as (x+1)(x-1)(x+1)(x-1) and then use the algebraic formula,…

Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: if f(x)=x2-4  f(square root of x+4)

A:

Q: not handwritten (2y^(2)z^(10))^(5) Which of the following expressions is equivalent to the given…

A: Given: (2y^(2)z^(10))^5 To find: equivalent expression

Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

A:

Q: 3 [(18 – 22) - (22)] dr -3

A: definite integration

Q: 1. Can you reduce this expression?  (x2 + 3x)/ (2x - 1) 2. Aren't there math symbols available on…

A:

Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

A:

Q: If (A) -71,then (A)] = ...

A: I have appended the formula used in the solution part.

Q: show that the difference quotient of f(x)=square root of x can be written as 1/the square root of…

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

A:

Q: 3) ATB, f) BTA. ΤΑ.

A: We have used the basic multiplication rules of matrices.

Q: * (51) + (1- 31) (Ada) (5-si) (-1+si) (multi ply) (multiply)

A:

Q: 1. Simplify the following fully (use only positive exponents). Then evaluate fully (NO DECIMAL…

A: According to Bartleby guidelines we can solve only three subpart of a question. Solve the given…

Q: The United States' national debt is estimated at1.4 × 10² dollars. A very wealthy American has…

A:

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: 3 dx-6x

A: