Let F=c [o,i] |||= |} g(x) = xsh(x)=x², Is H. strictly conuex? Explan y our answer.

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: Please see the attachment

Q: Solve xy' (2y - 1) = y (1 - x)

A: Solve xy' (2y - 1) = y (1 - x)

Q: 1 dæ = -2 In |1 – Væ| +c I Tæ(1– væ) -

A: Note: It is assumed that the question is asking to test the validity of the given equation.   We kno...

Q: The system of linear equations: X1 + x2 + x3 = 6 1 – x2 – X3 = 3 is: Select one: О а. a 2 x 3 system...

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Q: 2. Find the inverse of the following matrices using both Cofactor and GJE Methods 3416 14 -3| -5 -3 ...

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Q: 1. Let f(x, y) = x³ – 3.xy + y3. Find all critical points of f and at each critical point, use the S...

A: We have to find the saddle point, relative maxima or minima of f(x,y).

Q: Evaluate dx

A: To find- Evaluate ∫01x2 ln1x3dx      Formula Used-  ∫ u v dx = u ∫v dx - ∫ddxu ∫v dxdx

Q: Prore the only prime of the form n°-4 is 5.

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Q: Consider the following linear program: max x1 + 2x2 s.t. x1 +x2 ≤6 x1 −x2 ≤0 −x1 + x2 ≤3 x1, x2, ≥0...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: The path of a particle's motion is defined by y = x2 + 3x, where the dimensions are measured in cm. ...

A: The radius of curvature of the curve y=f(x) is expressed as ROC=1+dydx232d2ydx2 Differentiate both s...

Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...

Q: - frele thab G=xK is abelian ifP both of HiK are abelian -Does Z12 Hxk where, H-Só, ū 83

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Q: 4. Recursively defined sets Give a recursive definition of the set below. The set of positive intege...

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Q: 2- Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

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Q: dx V2x – x2 arcsin(x – 1) + c -

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Q: Find the Laplace transform of each of the following functions: 1. f (t) = t2 – 3t + 5 || -

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 7. Which of the following statements are tautologies? (Select all the choic that apply) (а) Р —Q (b)...

A: Introduction: When the truth value of a statement is always true, it is referred to as tautology. Wh...

Q: 1. Fibonacci Numbers Recall that the Fibonacci numbers f(n) can be be defined recursively by letting...

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Q: 5. f (t) sinh 3t + cosh 3t – 2t3

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Q: Consider the system Sr = 2x2 | = -2x1 Subject to the initial conditions r1 (0) = 3, x2(0) = 4. (a) T...

A: Introduction: A system of a differential equation can be converted into a single differential equati...

Q: The sequence n0.1 converges if

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Q: Prove the following statement: For any function f : R" - R and any function g : R" R, let h: R" R be...

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Q: Prove 8^ +l is composic for any poSitive integer n.

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Q: . Integrating factors found by inspection 1. y(y – x)dx + x(y³ + x)dy = 0 when y(1) = 0 2. (x³y³ + 1...

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Q: 4. f(t) = (1 + te-t)* %3D

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Q: Obtain the differential equation of the family of plane curves and kindly described and sketch sever...

A: Introduction: Every differential equation dydx=fx,y represents a family of curves. The family of cur...

Q: The improper integral 1 -dr 2+2r+2

A: The indefinite integral: ∫f(x)dx is same as the improper integral: ∫-∞∞f(x)dx. It is known that: ∫1u...

Q: 1. Find the extreme value of the following function and check whether the extreme value is a maximum...

A: The stationary points are calculated by solving the equations: fx=0 , fy=0 together. The discriminan...

Q: 3. True or false: a. Collinearity implies coplanarity. b. Any three points are coplanar. c. Any thre...

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Q: Select an Answer 1. -3 3 -12 -1 ,U2 = ,V3 = 1 ,V4 = -4 3 -3 12 Select an Answer 2. 1 -7 15 1 ,U2 = -...

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Q: 1 dx 7х — 2 1 In(7a — 2) + с 7 -

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Q: 1). .reliable transport between sending and receiving process (TCP, UDP) 2) does not provide flow co...

A: TCP is a connection-oriented protocol, whereas UDP is a connectionless protocol

Q: Given that f(z) = ž where does f'(z) exist

A: It is given that fz=z. We have to find all the points where the given complex function fz is differe...

Q: Find the rectangular form of 3/2 et* i.e. the a + bi form.

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Q: Solve for w where u = (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u - 4v W =

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Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water lev...

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Q: Obtain the values of the following integrals. sin?nz+cos²nz A) dz on the contour |z – il = 3 (z-1)(z...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 5 sin 3 (t ), t > 4 6. If f(t) = 0, t <

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Q: Which of the fo A O Diagram O Diagram

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Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: 5х — 3 dx = 2 ln |æ + 1| + 3 ln |x – 3| + c J (x + 1)(x – 3) -

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Q: - Problem 1 Prove that induction proofs actually works. Mathematically, |(P(0) ^ (P(k) = P(k+ 1))) »...

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Q: Let D be the solid which is obtained by rotating the region bounded by the curve y = r+x-2 and y = 0...

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Q: State A and state B are each candidates for an extra congressional representative. The relative unfa...

A: Relative unfairness = absolute unfairnesssmaller average constituency  

Q: The spherical coordinates of a point P are given by (2, coordinates of the point P are -). The recta...

A: The relationship between the rectangular co-ordinate  (x,y,z) of the point P and its spherical coord...

Q: 8) Find the parametricequation of the Line passes through p(2, 13to 3x+y-22 =5 and perpendicularof 4...

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Q: The arc length re-parameterization of the line l: F(t) = (1,1, 1) + t(1,2, 3) with 0 <t < 1 is given...

A: This is a problem of curve parametrization.

Q: list down 10 examples each for inductive and deductive reasoning

A: Inductive reasoning:--- 1. The cost of goods was $1.00. The cost of labor to manufacture the item wa...