Assume that is a continuous real function on (a, b) such that 1 1 o ( x + ³) ≤ ²}/20 (x) + = 0 ( for all x and ye (a, b). Prove that is convex. Φ

Q: Solve the diffusion-convection problem Uzz + Uz = 0, x e R, t > 0| u(x, 0) = f(x) lim u(x, t) = 0…

A: To find- Solve the diffusion-convection problem ut - uxx + ux = 0, x ∈ ℝ, t > 0ux, 0 =…

Q: prs is Linearly independent. please prove it. z set A is orthogonal if Por every Xy>X_eA, we have 2.

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Q: O Consider a) p → -q, ~p →q pq. Show it is sound. conclusion must also be true. Need truth-tables to…

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Q: y" - 3y' = e3x – 12x %3D

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Q: 6. What are the partial derivatives of f(xy) at P if its two directional derivatives are given by…

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Q: y" +2p(x)y + q(x)y=0 to u" +f(x)u= 0"

A: This is the question from the Differential equation.

Q: What is the domain of the function f(x,y) =Vy-x ? Select one: All points lying on or in the left of…

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Q: For the functions f(x) = 3x – 4 and g(x) = x + 2, find the following and determine %3D the domain in…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A: See the attachment

Q: Variability in cooking time using microwave ovens is of concern to food processors. The Oppenlicht…

A: Sample standard deviation, s=∑fi(xi-x¯)2n-1where x¯=sample mean=∑fixin             n=sample size=∑fi…

Q: 11. What is the symmetric equation of the normal line to the ellipsoid x? + 2y? + 32 = 6 at P(1,1,…

A: solution:  Given  ellipsoid⇒x2+2y2+3z2=6at point(1,1,1)let f(x,y,z)=x2+2y2+3z2-6

Q: Use Frobenius method to find two independent solutions for the flowing equation around x=0. Find the…

A: answer

Q: h 4 (b) Lim h-0 V5h + 4 - 2

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Q: Frequency A frequency distribution for the class level of students in an introductory statistics…

A: Solution

Q: 1. Find the point of intersection of the plane 3x+4y-2z=13 and the line given by parametric…

A: Given :  The equation of plane is 3x + 4y - 2z = 13. Parametric equation of the line is x = 1 +…

Q: Given the initial value problem 2 y": y' + 0, y(0) = 19, y'(0) = b, - 9 81 Find the solution as a…

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Q: 12. Evaluate the curl of the following vector field at the point (0,1,2): F = (x + y + z, x? + y? +…

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Q: The value of (1+i)², -is 5+4i O 5i O 1 O 1+2i

A: Topic:- simplification of complex number

Q: Suppose P(X|Y)=.P(Y)- Then the value of P(XOY)is 1 (a) 12 (b) 23 (c) 24 (d) 24 Answer C

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Q: For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Note: Since, you haven't mentioned which question you would like to get answered. Here, we are…

Q: The dynamics of the variable y with respect to variable x is described by the following ODE: dy –x²y…

A: Runga-Kutta Method of order 4:

Q: Q3. Expand and simplify (1) (2k – 3)(k - 2)

A: Given :                      (2k - 3)(k - 2)           Now we try to expand (2k - 3)(k -…

Q: 5. Find the area of the portion in the first octant of the plane 2x+5y+3z=30. 15/38 O 15/39 O 16/39…

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Q: a Q5 Make Q the subject of P= Q² +b

A: we have to make Q the subject of P=aQ2+b that implies we have to solve it for Q.

Q: Use integration by parts to evaluate the integral. 8x e (X dx 8x e TX dx = (Use C as the arbitrary…

A: