Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii. f-g iii. ff iv. gf

Q: Find the vector component of v = 2i – j + 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 21 j=3

A: Use the formula for the sum of n natural numbers.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Given :a) Oppositely directed to v=3,-12 and half the length of v.To find : w=(?, ?)b) Length 2 and…

Q: Verify that y = cos x and y = sin x are solutions of the DE y” + y = 0. Are any of the following…

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Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

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Q: Find an equation of the plane through (-3, 8, – 7) that is perpendicular to the planes 6x – y +z = 4…

A: We need to find equation of plane.

Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: х — 2 g(x) x + 3

A: Maclaurin series of the function g(x) is                 g(x) ≈ g(0)+g'(0)x + g''(0)…

Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: = [] Given: h (t) Find h'(t). t² +2

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: Determine the folowing integrais: 32+8 1.1 4x+6 1.2 +3r-10 1.3 se (sin Sx)cos Sx dr

A: In this question we have to find the Integration. Note: As per our policy we are suppose to do only…

Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. Let f(x)=xDefinition of derivativesf'(x)=limh→0f(x+h)-f(x)hf(x+h)=x+hf'(x)=limh→0x+h-xh=limh→0hh∴…

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: 39+ 5 dy (5y~7)2

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Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 22 — 0. - NOTE:…

A: Find the distance between the parallel planes.

Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

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Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: We have to determine if the given statements are true or false.

Q: A projectile is shot from a cannon. The fixed parameters are the acceleratilon of gravity, g=…

A: We need to find time and approximation.

Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: Find constants a and b so that the minimum for the parabola f(x) = x2 + ax + b Occurs at the point…

A: The given parabola is : f(x)=x2+ax+b We need to find the values of a and b so that the minimum for…

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: Given the function f(x) = () a) Find a power series representation for f(z). п(п + 1) (n + 2):…

A: Let's find.

Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

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Q: Find the distance between the parallel planes – 2z + y + : = 0 and 10z – 5y – 52 – 36 = 0. NOTE:…

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Q: -4 X+

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Q: n=5 Task 2: Find the point on the curve y = x² closest to the point (0, m + n), %3D where m is the…

A: m+n=8+5=13The point (0, 13)let the point on the curve be(h, k)y=x2k=h2distance between two points(h,…

Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: 1. IF A FORCE OF 80LB STRETCHES A 12FT SPRING BY ONE FOOT. FIND THE WORK DONE IN STRETCHING IT A.)…

A: Work done= Imposed force × displacement

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: First we find partial derivative with respect to x and y.

Q: Given: y = sinh(ln(cos a)); Find y'. O (E) None of these O tan(x) sinh(In(cos x)) O sinh(ln(cos r))…

A: Given y=sinhlncosx To find y':

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (2, 3)…

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Q: 2. The projected rate of increase in enrollment in a new college is estimated by the expression dE =…

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L1:x = 2 + 8t,…

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Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: 20x at P(4,0) in the x + y Find the directional derivative of f(x,y) direction of Q(2, –1). NOTE:…

A: The expression for the directional derivative of the function f in the direction of u is:…