(1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c). (ā-3b-2č)

Q: (b) The graph of y-g(x) is shown. Draw the graph of y=-g(x).

A: we have the graph of F(x) vs x when we put -x in place of x the graph will be mirror across Y- axis…

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A: We have to find derivative

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A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

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Q: 1. S (x¹+3x²+1) dx 2. f(x³ + x² + x−¹)dx p³ +p²+p+1 dp 3. p3 √ 2² (√z + √z-1) dz 8x³+27 -dx 2x+3 5.…

A: The objective of the question is evaluate the anti-derivative.

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Q: √ √3x + 4 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Graph the function. f(x) = √√x+5 Plot four points on the graph of the function: the leftmost point…

A: Given problem:- f(x)=√x + 5

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A: In this question, we want to find the partial derivatives and total derivatives of the given…

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A: Topic = Differential equation

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Q: Which of the following is not a homogeneous function? h(x,y)= xª − 3xy³ + y¹ − x² cos Option 1 b(x,…

A: Let's solve.

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A: Let's find number of groups can be formed.

Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

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Q: 13 Given the matrices A = - B 1 -1 3 4 the matrix X in the equation A (X + 3B) = C. X = 2 and C= -3…

A: A=111-1, B=1334 and C=-3032

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A: Solved below.

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

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Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

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A: a cube is made of 6 squares whose sides are of equal length

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Q: Q1: Solve the following differential equation: 2x² y ; y(1) = 2π y+cos y

A: Explanation of the answer is as follows

Q: Find the value of the Sum Σxi' if x₁ = 8₁ x₂ = −3₁ X3 = 4₁x₁4 = - 1=1

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Q: If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: 3 2 3 0 Given the matrices A = B = 3 -1 5 for the matrix X in the equation XA + 3B = C. and C Го…

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Q: x²-3 (x-1)² Analyze and sketch the curve given by f(x)=- 2(x-3) (x-1)³ · if y'=—- and y"= 4(x-4)…

A: Given