Find the area of the finite part of the paraboloid y = x² + z? cut off by the plane y = 16. [Hint: Project the surface onto the xz-plane.]

Q: J4 YR , k and i+j respectively, Ieal humbers. Find vector equations for the lines AB and CD. Whelt P...

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Q: Consider the series E (In(2n + 1) – In(2n – 1)). n=1 (a) Let an = In(2n + 1) – In(2n – 1). Does {an}...

A: We have to check the given sequence and series is convergent or divergent.

Q: 3. The fractal C is constructed as follows. (i) Begin with the line segment Io = [0, 1]. (ii) Remove...

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Q: To evaluate the exact value of f(x) = (4x47 + 7x - 9)(x4 - 3)³) , what %3D order of the Taylor serie...

A: Clearly f(x) is a polynomials so we need to find its maximum degree to get appropriate order od tayl...

Q: Consider the graph with adjacency matrix 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 A...

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Q: d/dt ŷ = [3 1] ŷ, ý(0) = [8] [-2 1] | [6]

A: Given that dy^dt=31-21y^ with initial condition y^(0)=86 Let A=31-21 and eigenvalue of A is λ. Then ...

Q: 2. 2y + 4z = 6 4x + y - 3z = 1 3x – 8y + 2z = 2 13

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Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top....

A: step by step clear explanation is given .Have a look 

Q: An advertising company offer three types of mediums: television, newspaper and radio. The cost for e...

A: As you mention in question that you want only final answer so, i provided the same as you want. kind...

Q: Determine whether the members of the given set of vectors are linearly independent for -o < t < o. I...

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Q: Find the general solution to the following differential equations. 1. y"-8y'+16y=0 2. y"+y'=0 3. ...

A: As per our company guidelines we are supposed to answer only the first three questions. Kindly re Po...

Q: v, w : 3x1 vector R: rotation matrix R(Vxw) = (R)x (RW) show me that there is the expression

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Q: Solve the differential equation

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Q: Exe use ing di fferent orders of in tegration, write six integral of SIC dv , where E is the solid s...

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Q: The sum of nine times a number and 2 more than the number is the same as the difference between - 10...

A: Suppose that the number is x,  Now sum of 9 times that number and 2 more that number = 9x+x+2 Again ...

Q: 9. Let F : R" → R". Prove that for each a the mapping h→ dF[a; h] is linear on R".

A: Given: F:ℝn→ℝm   To prove: For each a, the mapping h↦dFa;h is linear on ℝn  

Q: 18.13. Let f(z) be an entire function such that f'(z)| S/z|. Show that f(z) = a + bz2 with some cons...

A: Given that f(z) is an entire function such that f'z=z

Q: Correct

A: We find the required equation of line.

Q: IV. Evaluate these complex fractions 6/30° + j5 – 3 (a) -1+j+2ej45° (15 – j7)(3+ j2)* (b) | (4 + j6)...

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Q: 1. Fill in the table. Exponential Form Logarithmic Form 2401 74 a = log,c

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Q: a. The value of an investment account has a doubling time of 13 years and $35,000 was originally dep...

A: (a) We can use this formula to compute the deposit after t years, P = P0×2tD, where P0 is the initia...

Q: is given in the picture b. Find the vector from C to the point that lies​ two-thirds of the way from...

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Q: 1. (a) Plot the first four terms of the sequence 00 3n2 - 3n +2 n=1 (b) (i) Write in bracket notatio...

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Q: Let the region R be the area enclosed by the function f(x) = eª – 2, thel

A: Given, the function                     f(x)=ex-2 The horizontal line  y=-4, and the vertical lines ...

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: Here is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focus...

A: Introduction: A parabola is a conic section. It is symmetric either about the x-axis or about the y-...

Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

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Q: On January 1, 2018, Kline Inc. borrowed P9,000 from Harvard Co., and on January 1, 2020, it borrowed...

A: Introduction: When a financial institution gives money as a lender, it charges interest. The amount ...

Q: dH RH² /1 + R² dR In H

A: The given problem is to solve the given differential equation. We can solve by using separation of v...

Q: Determine whether the system is consistent. x1 - x2 + 3x3 = -11 -4x1 + 4x2 - 12x3 = -2 x1 + 3x2 + x...

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Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y, z) = 2x²yi – y³z²j – 2z²...

A: Introduction: The divergence and curl of a vector are two very important operations in vector calcul...

Q: A certain pine tree maintains the shape of a cone. When the base of the tree is 28 ft in diameter, t...

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Q: ) Let t > 0 and set tS = {tx : x E S}. Show that sup(tS) = tsup S. %3D %3D

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Q: H.W: Solve the following linear systems using Gauss and Gauss-Jordan Methods 1. 2. 5x + 6y - 3z = 66...

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

Q: Given the following multiplication problem Equation 1: - 4V, = - 2V2 -4 2 gives us equations V. Equa...

A: Introduction: Every square matrix has eigenvalues and corresponding eigenvectors. The eigenvalue of ...

Q: Consider the following Linear Programming Function maximization Z = 3x1 + 2x2 with structure constra...

A: The given LPP is  Maximize = 3x1+2x2subject to x1≤12x1+3x2≤452x1+x2≤30x1,x2≥0 plot the first inequal...

Q: 4. Let a1 = 1 and an+1 = (an +1) for n> 1. %3D (а) Find az, аз and a4.

A: (a). Given a1 = 1   and   an+1 = 13(an+1)

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x

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Q: O Lulion laflace Luma fanm of LiS Con t dt G(4) = If L[fla)] = F(S) thin L[ fl4] = (1," " a (tive in...

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Q: Give the Taylor series expansion of f(x) = e^−3x^2+2 about a = 1. Approximate e^2 using the first 5 ...

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Q: Use Laplace Transform and Theorem Table

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Q: Can someone explain how to complete this type of Question in detail ? Give a big-O estimate for the...

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Q: (1) E(-1)n+1 (3n)! 3n+1 n=1

A: (f). Given series is ∑n=1+∞(-1)n+1(3n)!3n+1

Q: 4. Let a1 = 1 and an+1 = (an +1) for n> 1. (a) Find a2, az and a4. (b) Use induction to show that an...

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Q: Vs are in R' and v3 = 0,

A: Given,  if  v1, v2, v3, v4, v5 are in ℝ5, and v3=0.

Q: Let A be the set of irrational numbers in [0, 1] and let B be the set of ratinal numbers in [0, 1]. ...

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Q: _2 _8 .8 00

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Q: 5. Evaluate the following using a method of your choice. a. log,729 = b. log 7776– log,36

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Q: Is the series convergent or divergent? Explain in minimum of two sentences. +oo Σ n2 – 1 Un | n=1 n2...

A: The main objective is to test the given series is convergent or divergent.  We can examine the conve...

Q: Find the general solution of the differential x-y+3 equation y' I-y

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