Let f(x) = |x| where xeR. Discuss the continuity and differentiability of f(x) at x = 0

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Q: 6. Find the Inverse Transform of F(s) S-8 3 A f(1) =6+e¬8 – 4e B f(1) =6-e"+ 4e* © s(1) = - 6+ e + 4...

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Q: Complete the table to express the values of each of these Boolean functions. Ax, y, z) = x + yz y x+...

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Q: Using definition of Laplace transform, find F(s) if { 0 4. f(t) = e(1–2t)

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Q: Consider the following. u = (0, -4, -2), v= (5, -1, 1) V (a) Find the projection of u onto v. (b) Fi...

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Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,...

Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and ...

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Q: Find the absolute maximum and minimum values of the following function on the given interval. If the...

A: It is given that ;                  fx = 6x2-13   ;   x ∈ [-1, 2] We have to find the absolute maxim...

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Q: ider the function f(x) = 2x +1 on the interval [0, 2]. %3D Write down the associated Riemann sum SN,...

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Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 0 [5 1 -2 -3 -4 0 -9 3 1...

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Q: 15. How many combinations has a 3-digit lock? A. 27 B. 100 C. 300 D. 1000

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: (y – x)dx + (y + x)dy = 0.

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Q: A Moving to another question will save this response. Quèstion 3 Evaluate : dz where C is the cirlce...

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Q: Σ n2+3n+2 n=1

A: The given series is: ∑n∞1n2+3n+2  We have to find sum of this series.        

Q: Suppose that the marginal propensity to save is ds = 0.3 - dy (in billions of dollars) V 9y + 6 and ...

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Q: 9, dx 3+x4 3C

A:   Evaluation of the definite Integral, by using substitution method

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Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y =f ...

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Q: Cuitakes B-Brownies Brewnies George has $8,000 in his savings account. He plans to use money in his ...

A: To find: how much money will George use to buy a computer from his savings account.

Q: 2. Suppose that the statement "If it snows in March, then no tree will bloom in April" is a true sta...

A: The given statement is "If it snows in March, then no tree will bloom in April" is a true statement ...

Q: find x in degrees Sin x=0,8766 tanx= 3.7834

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Q: (D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0 y = c,e* + (c,+czx)e-+e"(c,cosr +€ sinx) A B © y = c,e+ (c,+czt)...

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Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

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Q: Cookie salon is celebrating their second anniversary. They are offering hair service for only ₱699 f...

A: Discount = 1699 - 699 = 1000.  

Q: x+ 2 2x – 3 x+1 4 If A = is symmetric, then what is x equal to? | 1. 2 2. 3 3. -1 4. 5 Select the co...

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Q: Suppose that 0 <c <n/2. For what value of c is the area of the region enclosed by the curves y=cosx,...

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Q: 3) Show that (a + bi)º = (a – bi). Hint: for any x, y in a field containing Fp, (x+y)º = xº + yP. %3...

A: As per our guidelines, we are supposed to answer only one question if there are multiple questions a...

Q: Given y1 (t) = t and y2(t) = t¯1 satisfy the corresponding homogeneous equation of t²y' – 2y = - 1+ ...

A: Given y1(t)=t2 and y2(t)=t-1 . To find the particular solution .

Q: 1. Testthe convergence of the power series below: (n – 1)2 -(2x + 1)" 3"-2 Calculate the following: ...

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Q: t-2, for oLtとl% ス t 2 for t Z16

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Q: How much is the selling price of a gas stove listed at ₱2,650 if a discount of 15% was given to the ...

A: listed Price(LP) = Php 2650  Discount % = 15%  Discount Price(D)= 2650×15/100 = Php 397.5 Selling Pr...

Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: [1 -1 A = 3 2 and B = 3, find (AB)T -1 5 1. 2. [-2 4] 3. 4. [-2 -4] Select the correct response: 1 4...

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Q: Let S ⊂ R3 be the set consisting of 2 points (1, 2, 2) and (1, 2, 3). Find the annihilator of S. Sho...

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Q: How many iterations is needed in order to solve for one real root of f (2) = 2 + 2 - lusing Fixed-Po...

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Q: 4. Curl of f (x, y, 2) = 2æyi + (x² + z²)j + 2zyk is a) xy? i- 2xyzk & irrotational b) 0 & irrotatio...

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Q: Determine whether each of the following statements is true or false. You do NOT need to explain. Giv...

A: This question related to topic matrix of linear algebra.

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A: Introduction: In three dimensional geometry, a line has three different types of equations. These ar...

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Q: S ⊂ R3 be the set consisting of 2 points (1, 2, 2) and (1, 2, 3). Find the annihilator of S. Show ex...

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