The x-component of the unit vector in the direction [1, -2, z] is. What is the value of z? O a) 1 Ob) 2 O c) 3 d) 4

Q: are cot y dy y³

A:

Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

A:

Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: solution

Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: 3.1 Let f(x) be a differentiable function with f(4)= e and f'(4)=-e. Determine the linear…

A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

A:

Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

A:

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: Evaluate improper integrals if they converge, or 1/7 a) S. 72 de dx shab diverge

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: XNN y= 2²/2+3

A:

Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

Q: Evaluate O √x(1+x²) dx 2 x1/2 1 2x¹/2 O O 2,2/3 3 O 3x²/3 2 + 2x¹/2 + C x1/2 + +C 2 2x5/2 5 5x5/2 -…

A: Note: Every options given by the question are incorrect. I am 100% sure about it.  The correct…

Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A: We have to prove the given equation of complex number

Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: Q19) The general solution of 2x2y" + 3xy' - 15y = 0, is: a) y(x) = ₂x² + ₂x³ b) y(x) = C₁x + c₂x-3…

A:

Q: 7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular…

A:

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

A:

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

A:

Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

A:

Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

A:

Q: Consider the following initial-value problem. f'(x) = 8ex − 4x; f(0) : = 13 Integrate the function…

A:

Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: 1)y = (8 +7x³)

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

Q: 10. f cos*x sin x dx 11. (sec² 3x) dx / (tan 3x) 12. Setan 2x sec² 2x dx

A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The given function: gx=-4ex.We need to find the slope of the function at the given point.

Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

A:

Q: (2x-1) dx 3 2x²-x²-27x +36 f

A:

Q: S (2y-3) dy 2y ³-y²-27y + 36

A:

Q: f arctan y dy 3 f

A:

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

A:

Q: Consider the function y = (2x+1) e³x. Find the extreme value (or values) of the function (classify…

A: Given problem:- Consider the function y = (2x + 1)e3x Find the extreme value (or values) of the…

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

Q: 7) If f(x) = est cosx find f'(0).

A: Derivative of a product of two function isf(x)=g(x)h(x)then f'(x)=g'(x)h(x)+g(x)h'(x)

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: xample following flow field: Find the acceleration u= 2x² + 3y, v=-2xy + 3y² + 3zy, w= at a point…

A:

Q: X 2 1 a X 2 dx

A:

Q: x5 + x² + 4x³ + 4x² + 4x + 4 dx (x² + 2)³

A:

Q: Find the exact value of each angle given. Cos 105°

A: To be found : Value of cos 105°

Q: uestion 4 (a) Solve the following: 4x*dx (b) Explain with the aid of a sketch how this value can be…

A: A detailed solution is given below.

Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

A:

Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: z, 1 + 9 + 25 + 49 +81 + ... + /2/

A: Topic = Algebra

Q: Q1/ Solve partial differential equations д2u 1- =+2 Әхду Х

A:

Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

A:

Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at…

A:

Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…