prove the following claims: suppose that ƒ is a convex differentiable function, then for any x, ye R the following inequality holds:) f(y)≥ f(x)+(Vf(x), y-x).

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Q: 3. Solve the following differential equations using Laplace transforms: d³x d²x dx + + dx d²x b. +x=…

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A: Given z=ex2+y2, x2+y2=1, x2+y2=9, z=0

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Q: ferential e

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

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Q: y = 53452634Xexp(0.0518X(x-1975)) x= years   deep analysis why expoetinal model would be more…

A: Introduction: From the given question we are going to use the time series approach as well as…

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A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: 14. If the standard quota of State X is 35.41, then which of the following apportionments to State X…

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Q: Attachments (n-1)! 69.70.71.....(68+n) If Σ Find the value of x+y.. X y

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Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

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Q: 4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation…

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Q: Which of the following is not an asymptote of * 4x² y = x²-9 Ox=3 O y = -4 Oy=4 O X=-3 ?

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: Find May of the volume, if the solid of density & (x,y,z) = Z and the lower parabola is (Z₁ = x² +…

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Q: H.W: Estimate the root of the equation for the following equation usind Newton- Raphson method: 11…

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

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Q: Paper sheets are required to make a stack of 8cm height. Each paper is 2.5x10-4. How many are…

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Q: Evaluate the geometric series and compute the sum if convergent. 5 −5+ _5+3/2 4 - +

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Q: e vertex angle of a right circular cone changing when the radius is 3 if the altitude is increasing…

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Reparametrize C: R(1) = (¹-²³, Vēts, ²+1) using the arc length is measured from the point P (3, -,0)…

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Q: . Let P(r) = 5x³ – 3rª + 3x³ − 9r + 5. Give a step-by-step € – 8 proof that - - lim P(x) = P(1). I→1

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Q: 1. State the equation you are trying to find a root of, which is f(x) = 0, where you define what…

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Q: Q-5: Let A = a) b) 0 -1] -1 1 -1 0-3 Show that A has eigenvalues λ = 0,-1,-2. Find an eigenvector…

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Q: The Laplace transform of the function u: [0, ∞) → R [(t-2)² + (t-2) sin(5(t-2)), for t > 2, =…

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Q: Find S Ĵ 5+1 5³ +95³²+265 +24

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Q: using excel, find the approximation to y(3)= using Euler's method 1st order with h = 0.025, y(2) =…

A: Euler's method uses the formula: y1=y0+hf(x0,y0) to perform the iterations and to approximate the…

Q: The cryptogram below was encoded with a 2 x 2 matrix. The last word of the message is RON_. What is…

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Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Discreet Mathematics Given F (A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F (A, B,…

A: Given:  F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD To find: Minterm list form

Q: 1. Let g: DR be a function on D and (c, ∞o) C D for ome ce R. Then lim g(x) = 1 (1 € R) if and only…

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Q: Evaluate [²²* 0 3 y² sin z6 dx dy dz

A: Consider: ∫01∫0z2∫03 y2 sinz6 dx dy dz So, evaluating this we get: ∫01∫0z2∫03 y2 sinz6 dx dy…

Q: 6) FIND THE INVERSE USING GAUSS-JORDAN REDUCTION METHOD (NOT-SINE) www. 2 0 3 0 2 0 - 4 A = 1 1 3 0…

A: The given matrix is               A=203020-411-11-302-28 To find: the inverse of A.

Q: Find an equation for the plane that is tangent to the surface z= In (x²+y^) at the point P(0,1,0).…

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ − sin 2x + 1,…

A: To find: Work which is required to be done when force F is applied to move the box from x=1 to x=3.…

Q: use Newton’s Method to find all the roots of the given equation accurate to six decimal places.

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Q: 1. Give one example of coherent logical argument, its premises and conclusion.

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

Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

A: According to the guidelines, we will solve first question only.

Q: 1. Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 1 3.5 2 0 4 -j3 -3² E=…

A: Solution: Given matrics L=3-510.513.5204E=-j3-32j3ln-j35+j3j123sinj0.2-j0.5jX=133j-72-j5.5-14jj-1159

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim x?cosx sin²¹x 2 x-o

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Q: 3. (a) Let n and k be non-negative integers. Explain what the function p/(n) counts. (b) Find the…

A: The detailed solution typed in LaTEX is given in the next step. Both these problems follow by using…

Q: 3- the value of * O -15\8 O 15 VT 8 O 15\8 r 7|2

A: