Suppose the vector-valued function P(t) setisfies '(t) - <-6t,2t + 1, 8t> and P(0) - (1, 2, 3) Find P(1) (-2, 2, 2) O (-12, 2, 24) O (-1, 4, 5) O None

Q: 2(a) A relation R is defined on the set A={1,2,3,4} from A to A, where R' = {(1,2); (1,3); (1,4);…

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A: Since the question has multiple parts but according to guidelines we will solve the first three sub…

Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

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Q: Find the limits of the following vector functions. 2t³-t² tan (2t)\ 21² (i) (ii) lim In 1-0 5t lim…

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Q: Suppose that f: R² R² is a function such that f (1,2)= the linear approximation. (Use syntax like…

A: We have to estimate f (1.1, 2.01) using the linear approximation.

Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: e*+1 Differentiate the function f(x)= In -3x +1 -3e A) 4e** +1 +1 3e B) e +1 +1 3e C) 3x 1. D) E) +1

A: Topic: differentiation

Q: Consider function f(x,y) for which = 24x2 + 114y and = 114x + 24y². Which of the se ду %3D əx points…

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Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: Determine the interval (s) on which the vector-valued function r(t)=ti+(sqrtt+1j)+(t^2+1)k…

A: The answer is given below:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

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A: Please see the below picture for detailed solution.

Q: What is the point of intersection for f(x) = 2* and g (x) = (÷) ? A (1,0) (2,4) C (1.) (0.1)

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Q: Find the limits of the following vector functions. -2) 21³-t² tan (21) 21²" (i) (ii) lim In 1-0 5t…

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: Let T: R³ R² be defined by T (E) 2x1 -2x2 + x3 Ex: 5 +2₂] -3 ---(~- -[:] ·~ -E] ·~ -E] --²-(~-…

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Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a…

A: For any P,  P v !P = T                    P ^ !P = F Hence, a = {T, F} Again for any R,  R ^ !R = F…

Q: (1)-(9-1²₁.sin(√²²-9)). Find the domain of the vector function, r(t):

A: To find the domain of the given vector function

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Q: Use moment generating functions to show that if X3 = X1 + X2, with X1 X3 - X V3 > vı, and X1 and X2…

A: Solution

Q: Consider the function f(x)=x³-2-x+2 that has exactly one root. Which of the following intervals…

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Q: dependent.

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Q: Funchion figandx are follows f(2)- H-14 +421, g12)= Tio-22 , hca)- 5+x find, Find %3D 2. g (4) = h…

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Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: tput. Demand is p= 650 - 2Q. e profit-maximizing price and output for the monopolist. aximizing…

A: In the given question, the concept of maximization is applied. Maximization The critical points of a…