22 23 24 25 26 3 2.32 - 3.33 4.34 5.35 .. 6.36

Q: The maximum directional derivative of f (x, y, z) =r sin(zy)-yz + 10 %3D at (1, -1, 0) is O v3 O 2 V...

A: For the scalar function f(x,y,z), gradient is the maximum rate of change.  So, first we will find gr...

Q: s - 3s2 – 2 S .3 s° + s

A: It is known that:  L-1as2+a2=sinat L-1ss2+a2=cosat L-11s=1

Q: 2n2 Using the mean-value theorems, show that in sin z w/6

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Q: Write an equation for the line through center a circle (x² + y² + 4x+6y = 3) which make an angle) wi...

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Q: For a difference equation rn+1 = %3D 1. Find the fixed points and determine the stability 2. Sketch ...

A: ANSWER OF 1ST SUBPART: The given difference equation is                                             ...

Q: Prove that there is only one polynomial P3(x) among all polynomials of degree < 3 that satisfy the i...

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Q: The curve C is the circle of radius 5 contained in the plane z 5 and centered around the z-axis, ori...

A: Solution:-

Q: solve this non-homogenous differential equation- y" + 2y' + y = x sinx e^x hint: y=e^mx be the trial...

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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: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.r) b) Fin...

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Q: cos? x sin x | cos“ x dr 3 + 4 COs x sin x 1 COS4 + 4 + c 2

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Q: Match the vocab work with the correct definition Line Choices a line that extends indefinitely in on...

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Q: dx V2x – x2 arcsin(x – 1) + c -

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Q: (AUBUC) (A UB)nC (A - B)n (A - C) (B – A) (C -Ā)UB

A: Solution:

Q: You want to invest $2500 in an account to save for college. Account 1 pays 6% annual interest compou...

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Q: Find the function f(x) = Ca whose graph is given. f(x) = (x, Y) = (-3, ) 40 %! 27 (x, y) (0, 5) y 10...

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Q: 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A = b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 ...

A: The given problem is to solve the system of linear equations using cholesky's decomposition method.

Q: Give a Taylor series expansion of f(x) = In(x) and use its first 5 terms to approximate In(7). Also,...

A: This is a problem of Taylor expansion.

Q: Suppose you have just finished approximating f (x) = x3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) = 2...

A: Given suppose you have just finished approximation f(x) =x3 for 0≤x≤α and ended up with φ^ α, x= 25x...

Q: . f (t) = 2 cosh 3t

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Q: 3. f(t) = 2e3t sin 2t – 3e3t cos 2t -

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Q: 3. f(t) = 2e3t sin 2t %3D 3e3t Cos 2t -

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Q: For the following primitives, identify the number of essential constants.(x and y are the variables)...

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Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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

Q: Verify that the series E satisfies the conditions of the Integral Test, then use 4 п +1 n=1 the Inte...

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Q: Solve oodinary Diffedential Equation + qy 6 Cos(3t) %3D y(0) = 0 y'co) = 0

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Q: f(t) = (1 + tet)*

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Q: 15. Find a polynomial P(x) of degree < 3 for which P(1) = y2 P'(1) = y2 P(0) = y1, P'(0) = y, with y...

A: cubic polynomial is of form y=ax³+bx²+cx+d 

Q: Problem 1. Give an example of a normed space E and a convex function p:E -R such that o is not lower...

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Q: Laplace Transformation

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Q: How many tangent planes to the hyperboloid r-y?-2 1 are parallel to the plane z= r +y? %3D

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Q: Given: C(h)=5h+0.02 and its table of values: -10 -5 5 10 15 20 25 30 f(x) 49.980 -24.980 0.020 25.02...

A: Any point in the Cartesian coordinate system is represented by the ordered pair: x, y. Start from th...

Q: If f(x) = log2(x) , then lim f(x) – f(1) - x- 1 (A) me (B) In(2) (C) 0 (D) 2 (E) 1 8:23 PM

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Q: Find the minimum distance from the point P with coordinates (1. 2. 1) to the line r = a+Ab, where a ...

A: The minimum distance from the point P(1,2,1) to the line r is the perpendicular distance between P a...

Q: 4-a2-y? 1 x2 + y? + z2 dzdrdy 0,

A: The given problem is to evaluate the given triple integral with given limits. We can convert the Car...

Q: Evaluate dx

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

Q: H has been conicctured that there are indefinitely many primes of the form na 2. Ex hibit five sUch ...

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Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify. 2z2+z1-5-j2z1-z2+3-...

Q: Find the polynomial f(x) for which x.f(x -1) = (x - 3).f(x) for all values of x in Real numbers

A: Consider the equation: x×f(x-1)=(x-3)×f(x) To find the polynomial f(x) satisfying the equation x×f(x...

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

A: Solution:-

Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the poi...

A: if  f is  function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to...

Q: y = c1z + c2e - 22 - z - 1 isa general solution of the differential equation Select one: O a (z – 1)...

A: Let us consider a differential equation f(x,y,y',y'',......)=Q(x) The equation y=f(x) is the general...

Q: a b c d е f g h e 8 8. 7 7 6. 4 4 金曲 3 1 a b c d е f g 土 2.

A: how white can escape from the check .Don’t forget:move ,block or capture

Q: 1. f (t) = t² - 3t + 5

A: Laplace transform of the function by using definition

Q: Simplify: 1 2. 3 4 3

A: Given expression is 212 - 25 + 34 ÷ 58 × 23

Q: +oo 1 (2n)! ( a) Σ ( c) Σ-1)" 4n2 – 8n + 3 n=1 2" n=1 +00 In n (b) Σ-1)" n2 n=2

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Q: e ie te Q. Find the Fourier Series od d (x) = X -즉 <x<플

A: we have to find the Fourier series of given function

Q: If f(x) = tan (3x), then f'(x) = %3D (A) 12 tan (3x) sec2(3x) (B) 4 tan (3æ) sec?(3x) (C) 12 tan (3x...

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Q: Ísin^5 (2x) cos (2x) dx, for the indicated integral, what would the first step be? * Use u = sin 2x ...

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Q: What would you do in order to solve the following equation 4b=20

A: Given equation is 4b=20. We have to solve the given equation. Divide both sides by 4 and further sim...