Write a vector of magnitude 5, parallel to the plane 3x + 4y + 5z = 10 and perpendicular to the vector i+ 2j + 2k.

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one variab...

Q: X -2 =7

A: Given equation is x-2=7. We have to find the value of x. Add 2 both sides and further simplify it x-...

Q: 00 Given the improper integral 1 dr- x+x2 Which of the following statements is TRUE? 1 O A. The inte...

A: Introduction: An improper integral can either converge or diverge. When the value of the improper in...

Q: A jar contains 4 white marbles, 6 orange marbles, 3 yellow marbles, and 2 black marbles. If a marble...

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Q: The right-hand side of P(K) is k. 2" +2 [The inductive hypothesis states that the two sides of P(k) ...

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Q: product of it's prime factors and fin

A: Introduction: A prime factor is a factor of a given number that is also a prime number. Variables ar...

Q: Q4) By using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z. Ma...

A: Introduction: The graphical method is a basic method to solve a linear programming problem. When the...

Q: Determine the quadature rule of the form | f(r) dr = Aof(ro) + A1f(£1) + - *·+ Anf(Tn) a. when the i...

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Q: Suppose that f(x, y) is a differentiable function, and that (P] g(u, v) = f(e" + sin v, e“ + cos v)....

A: Given that gu,v=feu+sinv,eu+cosv

Q: Its truth table given is constructed as follow. Find the entries in each empty column to arrived on ...

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Q: Compute the determinant using a cofactor expansion across the first row. Also compute the determinan...

A: We have to find the correct option from the given multiple options.

Q: Derive a power series expansion of the function e2x+1 by expanding in a Taylor series about a = 0.

A: We have to find the Taylor series for the given function at a=0

Q: A businessman is considering opening a small specialized trucking firm. To make the firm profitable,...

A: We will use basic concept of LPP here

Q: If T : R* → R³ is a linear transformation such that T T 3 T 4 -3 then T

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Q: 20. Given the figure at the right, what is the value of x? Bx-4 3x+1 4

A: We want to find the value of x.

Q: Consider sequences (– 1)"n (i) Зп — 1 (1) cos T- (ii) n2+ 3n (iii) Зп2+ 5 n Which of the following s...

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Q: 4. More weak induction Use weak induction on n to prove the following claim: n! 1

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Q: Consider the statements: (1) (i) All the sequences are function but converse not true All the functi...

A: Definition:  Let xn be a sequence of the set X. The sequence can be defined as function f:ℕ→X, where...

Q: The values of a, A, B, C for which the quadrature formula Ca-x)f(x)dx = Af(-a) + Bf(0) + Cf(a) %3D i...

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: Determine (dy/dx+1)/1=x^2, y(0)=1 by Tylor’s series method and compute y(0.3

A: Given that dydx+11=x2, y0=1

Q: Q 2 Solve x2-11x + 28 0, by using the quadratic formula

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Q: 1-1

A: If we subtract 1 from 1, then it will be 0. i.e. 1-1=0

Q: Problem 6 Let C(0, 1) be the set of contimuous functions on (0, 1] with the uniform metric induced b...

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Q: Give a power series Cnx" such that it is =1 convergent if |x| l of x = -1.

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Q: Find te goneral solution: (x e - ) dy

A: We have to find the general solution of the differential equation ey-yexdx+xey-exdy=0 .

Q: Write the First Order Logic (FOL) of the following sentences: 1) All students have studied mathemati...

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Q: Determine if the function satisfy the Cauchy-Riemann equations. f(z) = z²

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Q: 2 – 1 Find the values of a for which the matrix A = 2– 2 1 is invertible. 2

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Q: Simplify each expressic 6(a +8)

A: Solution

Q: . A possible initial strip (xo, Yos Zo, Po 90) for the Cauchy problem pq = 1 %3D dz p = -, q = dz an...

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Q: separation axiom

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Q: For getting upvote please send complete handwritten solution for Q2 Only handwrtten accepted

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Q: 47.1f it is false that if Bob is a doctor then he is an astronaut, then he is a logician. (DAL) 48. ...

A: As per norms, we will be answering only the first three questions of the asked numbers that is 47, 4...

Q: 5. Find the solution u(x, t) of uzz conditions uz (0, t) = uz(1, t) = 0 and the initial condition u(...

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Q: 4. More weak induction Use weak induction on n to prove the following claim: n! 1

A: Q4 asked and answered.

Q: Blody Cape E ukich number is counter example of the following statement:al Tunbers that ar divisibk ...

A: 8. If a number is divisible by 2 it will not necessary be divisible by 4.

Q: Find the value of f(x)= |3x| -2 at x =5

A: Given function is fx=3x-2. We have to find the value of fx at x=5. Substitute x=5 in fx=3x-2 and fur...

Q: (b) Use L'Hospital's rule to determine the following limits: 3sin5x (i) limy--o' logz X (ii) limx-» ...

A: Q4 (b) asked and answered.

Q: (3-i)

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy problems....

Q: a? +2 The sequence (a defined by a, =1 and .for n2 1. 2a a If it is given that sequence fa converges...

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Q: If a <b <c If lim a =L and lim c, =L+7 then which of these is TRUE? - 00 n- 00 A. can either converg...

A: Given an &lt; bn &lt; cn

Q: Consider the function f(r, y, 2) = ry + y² + z². (a) What is the gradient grad f of f, and what is i...

A: Given: f(x,y,z)=xy+y2+z2a) To find, grad f and its value at point 2,1,1

Q: what is the slope of the linear function 2x-9y=19?

A: Definition: The slope-intercept form of a line is y=mx+c, where m is the slope of the line and c is ...

Q: Which operation below does not change the value of any nonze ro num A. Adding by One B. Dividing by ...

A: Let x be any non-zero number. To find the operation that does not change the value of x let's inspec...

Q: t is given that g = 0.15 when h = 8 . Express g in terms fo h if g varies inversely as h

A: Introduction: There are two types of proportional relationships. One is direct proportion and anothe...

Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas irration...

Q: A particle moves in the x – y plane with velocity v = = (1-t)î + (4 – 21 + t² )i 4. where t is the t...

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Q: Let (bk-1 · bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (br-1...

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Q: Given the system of non-linear equation below 2+y-1 y-x--1 Using Newton's method for non-linear syst...

A: Given system of non-linear equations are x3+y=1 and y3-x=-1. Let f(x,y)=x3+y-1=0 and g(x,y)=y3-x+1=0...