4. Complete this problem as a write-up. Manipulate ||u – v||² to show that it can be written as ||u||2 + ||v||² – 2u• v.

Q: evaluate the Pirst and second deriugive of f) = 327+5csin 3x• %3D at x= 11 , 2.5 &3.7

A: To evaluate the first and second derivatives of f(x)

Q: |(6t2 – 4t + 3) dt

A:

Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: Reduce to the form x + yi: logsin (-i+2) 2 40eπi

A: We have to reduce logsin-i+240e23πi to the form x+iy

Q: Consider a ruler that takes as input any integer z and outputs. Is r a function? Why?

A: Given that r takes input as integer z and outputs Here the input is different while the output is…

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: Find the values of a such that det (² 3-x 2 3-x 4 1 -1 -1-x = 0.

A: We have to find the value of x such thatWe know that

Q: da Use a trig substitution to evaluate x2 V9- x

A:

Q: St -2* +1) a. 2.x

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: b) (9x²-6x+26) *

A:

Q: Find the singular values 01 202 of 7 A = || 0 -3 |

A: For matrix A, find ATA Next find eigenvalues of matrix ATA  det(ATA)-λ=0 Square root of non-zero…

Q: .4 -1 sec J2 Evaluate x dx

A:

Q: The characteristic of Z6 x Z, is 18.

A:

Q: Find the dim U where -3 4 U = Span 1 -9

A:

Q: 3. a) Describe the transformations on y = 3* to sketch y = −4(3-×-2) + 4.

A: Curve or equation, y=3x

Q: *cost+C_e-2sinx -2x y=c₁₂e-²x +C₁₂e-² Use the editor to format your answer

A:

Q: A = 13 47 AXB = T² 1 1347 e 2 23 AXB ] = 1² mi find b

A:

Q: 1. Given: P={5, 10, 15} {xEQ| x is divisible by 4, 5 2y. Write whether it is a function or not a…

A:

Q: 6. Which expression is the simplest form of V12+ V48

A: Solution

Q: 5. Which function has both domain and range of all real numbers? a. y = x2-5 b. y = (x + 2)3 c. y =…

A: To find  the function having domain =R and range =R.

Q: 1. State the properties of the Bassel function.

A: Here are some properties of Bassels Function

Q: Solve the non-linear Differential Equation y"=-e xy = f(x) by explicitly following these steps:…

A: Use the following formulae, to obtain the solution.

Q: product of y64 · V8 can be expre

A:

Q: Find the term of (a – 2b)3 that has b in it. |

A:

Q: HxER x2- 9х — 36 >0 х>12 or x < —3

A:

Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: 3. npor Find the dot product

A: