If “a” to the power of 2/3 equals 6, then “a” to the power of 4/3 equals what?

Q: L{e' cos 3t}

A: Given etcos23t We have to find the Laplace Transform. Formula use1. cos2(x)=12+cos(2x)122. L{a·f(t)+...

Q: For what values of x is the tangent line of the graph of

A: Given  f(x) = 8 x3  - 24 x2 - 2x + 48f'(x) = 24 x2  - 48 x -2now the slope of tangent at any point o...

Q: Find the Fourier series of f(x) = V1- cos x in the interval (0, 2n). Hence, 1 1 deduce that Σ -- 2 n...

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Q: Find the minimum and maximum values of z= 2x + 9y, if possible, for the following set of constraints...

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Q: Question 3. Let b 0 1 0 0 1 a H = c) : a, b, c e Q 1 under matrix multiplication. Notice that H is a...

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Q: Base Вачe 2 11100010100.01101 01111111001.1I110

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Q: Find if 5, 14, and 22 are pairwise relatively prime.

A: The numbers are relatively prime if there is no common factor except 1 The numbers are  5=1×514=1×2×...

Q: A collector of football trading cards paid $6 for a 1984 Dan Marino rookie card several years ago. I...

A: Given a collector of football trading cards paid $6 for a 1984 Dan Marino rookie card several years ...

Q: Find the chiromatic number x and the edge-chromatic number x for this graph. Also decide whether it ...

A: Given: Let's determine the chromatic number x nd the edge chromatic number x for the given graphs

Q: Determine the solution of the initial value problem 1. 5y" + y' = -6x, 2. у" + 4у + 5у %3D 35е*x, y(...

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Q: How many ways can you take (without replacement) 5 cups from 14 different cups? Select one: 40320 O ...

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A witho...

Q: If x is equal to the square root of (-7+ 24i). Solve the principal root of x. C. 3 + 4i A. 3 + 3i B....

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Q: y" +2y' + y = 8(t – 1) + e2t y(0) = 0, y' (0) = 0

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Q: Solve for x that satisfy the equation x2 + 36 = 9 – 2x2 A. +6i В. +3і С. 9i D. -9i

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Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –...

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Q: asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 0, æ3 < ...

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Q: Determine whether the argument is valid or invalid. You may compare the argument to a standard form ...

A: We have , Premises in given argument , p ∨ q  and p. And Conclusion is , ~q. To test the validity of...

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c) Ma...

A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of t...

Q: f(z+h) f(z) Find and simplify if f(x) 4 – 7x

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Q: Σ a? and (Σ) For the table below, find

A: Introduction: A measure of central tendency describes a set of data by identifying the data set's ce...

Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing ...

A: Given fx=xx2-x-10-8=0 and initial guess x0=3.75

Q: dy tan (x+ y) dx dy = 2 + Vy - 2x + 3 dx

A:

Q: S-7t s+t :s, t in R 3t

A: In this question, the concept of basis is applied. Basis A set, B of vectors in a vector space V is ...

Q: Q1. Let U = {x: x e Z, 3 < x < 15} be the universal set, A = {x: x e U and 2 < x – 3 < 6}, %3D %3D B...

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Q: What is the place value of 6 in 304.576

A: Concept: Decimal place values are given by:

Q: Evaluate log(1+i) (1+ v3i) A. 1.442 – 0.246i C. 0.151 + 0.341i - B. 1.198 – 0.215i D. 0.301 + 0.455i

A: Use following formula to find out result  log(z) = log(r) + i θ 

Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

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Q: Find the minimal polynomial of 2 1 0 0 0 0 210 0 0 0 2 00 0 0 0 2 0 0 0 00 1 Find the minimal polyno...

A: We have to find minimal polynomial of given matrices.

Q: 13. If f € R(a) on [a, b] and if S f da = 0 for every f which is monotonic on [a, b ], then a is con...

A: Given f∈Rα on a,b. Given that ∫abfdα=0 for every monotone function f on a,b. Claim: α need not be co...

Q: m 2 and P(D) = 3 Find 10 Events C and D are mutually exclusive such that, P(C) = (a) P(C') (b) P(CUD...

A: Given P(C) = 25  and  P(D) = 310

Q: dt Find the solution and define The interval at which function is dezine

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Q: Lina needs a logic circuit that will implement the function defined by the following truth table. (d...

A: Given truth table, A B C F RESULT 1 1 1 1 ABC 1 1 0 1 ABC 1 0 1 1 ABC 1 0 0 0 AB C 0 1 ...

Q: 4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x +...

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Q: Find (1+ecote) csc² 0 do

A: We have to evaluate the indefinite integral ∫1+ecotθcosec2θdθ. We have to use the integral propertie...

Q: Find the Taylor series of f(z)= Ln(z) with center 2i.

A: We have to find the Taylor's series expansion of the function fz=lnz at z=2ι. We have to use the Tay...

Q: 2ni If A %3D 40е з , В %3D 202- 40°, С %3D 26.46 + 0i, solve for A + B + C. А. 27.7445° В. 35.1245° ...

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Q: (Straightforward) Given that f(y) is as sketched below, find the flow vector u(x, y) and sketch by h...

A: Given that sketched graph of f(y). To find:-The flow vector v→(x,y) and sketch the flow field for th...

Q: (c) Given a rooted tree as below. Lucy Наппа Vanessa Chris Lei Oscar Yolly Lander (i) Find the heigh...

A: The height of a tree is defined as the height of its root node. Note that a simple path is a path wi...

Q: 2. y" + 2y' + y = 8(t – 1) + e2t y(0) = 0, y'(0) = 0

A: Given differential equation is y'' + 2y' + y = δ(t-1) + e2t  with   y0 = 0  and  y'0 = 0

Q: Let U, W c V be vector spaces with V = U W and suppose that T E L(V). Define LE L(U,V) by (u) = u, a...

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Q: Write each of the following complex mumbers in the exponential form. (a) i cos (c) 1-1/3 584

A: We know that,z=rcosθ+isinθAnd, eiθ=cosθ+isinθTherefore, z=reiθ

Q: Let A e Rmxn,x, b € R, Q(x) = || Ax – b||3. (a) Find the gradient of Q(x). (b) When there is a uniqu...

A: Given : A∈ℝm×n , x, b∈ℝ, Qx=Ax-b22 To find : (a) gradient of Qx (b) a unique stationary point for Qx...

Q: he vector v = ai + bj is parallel to the line bx – ay = c. Use this fact to find ector starting at t...

A: Introduction: The formula for the equation of the line passing through a point P(a,b) is given by, (...

Q: Given A (6, - 2) and B (-1,2), enter the equation of the line through point B and perpendicular to A...

A: Given A6, -2 and B-1, 2 We shall find an equation of the line through the point B and perpendicular ...

Q: When the unit price of a designer bag is $700 the quantity demanded is 4500 per month. When there is...

A: Linear function of x can be given by  y= ax +b where a and b are constant 

Q: Simplify 324-4x/2x+18

A: Let us consider the Rational function f(x)g(x) To simplified the function  Taking common factor fro...

Q: 1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x + 7)(...

A: Simplify the equation then find roots.

Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

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Q: メ-しリ ニ X² ty2

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Q: test for the exactness of the differentral dy + Cosx +Sinyfy -0 quation And hence find the Salution ...

A: A differential equation contains independent variables, dependent variables, and the differential co...

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.