2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

Q: MY NOTES ASK YOUR TEACHER The rate of change of the function f(x) = sin(x) + csc(x) is given by the…

A: Verify the identity

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A:

Q: [(4x³ +2x)³(12x³ +1)dx . Your work must include the use of substitution and the antiderivative. -1…

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Q: Describe the surface. x² + z² = 1 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: (McQuarrie F-7) Find the three roots of the determinantal equation, 1-A 1 0 1 1-A 1 0 1 1 - A

A:

Q: Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3…

A: Let "θ" be a central angle in a circle of radius "r". Let "s" be the length of the arc cut off by…

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

A:

Q: The interval of convergence of the following Power Series +∞ Σ nxn 4¹ (n + 1) n=1 ]-4,4] [-4,4]…

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Q: Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the triangular…

A: I am attaching image so that you understand each and every step.

Q: y" + y = sec x tan x

A:

Q: Verify that * ox af dy 2+ ?х ду ду дх ах 22+ 21 ?х ду ду дж 11 olems) for f(x, y)=5x®y -7xy5.

A: Here is the solution of the given problem.  Partial Derivatives.

Q: Write the given statement into the integral format. Find the total distance if the velocity v of an…

A: The velocity of an object v=t2-3t+2 m/sec. over the time period 0≤t≤2

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -HAXNO f(x) = 0…

A: Here, the given piecewise function is: f(x)=0; -π<x<0x; 0<x<π and the period L=2π

Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: topic- application of derivatives

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vf|(1,2,2) = Oi+Dj+Ok (Type integers or simplified…

A: ∇f(x,y,z) = ∂∂xi+∂∂yj+∂∂zkf(x,y,z)

Q: 2. If y=x³e²x find y(n) and hence y(3). (v)

A: I am attaching image so that you understand each and every step.

Q: 4- XLnx dy dx +y=zLnx

A:

Q: Use a horizontal element to determine the area bounded by y=x² + 1, y=x, x=0 and x = 1. Which of the…

A: Given: y=x2+1, y=x, x=0 and x=1   Now find the point of intersection between the curve y=x2+1 and…

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

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Q: Find the parallel projection of the vector v = onto the vector w=.

A: Given problem:- Find the parallel projection of the vector v=<4, -5, 7> onto the vector…

Q: You are babysitting when the screaming child throws her pacifier out the window. The baby has some…

A: Please see the below picture for detailed solution.

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (2,-2).…

A:

Q: Write an equation for the transformed logarithm shown below 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 5 f(x) = N…

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Q: Evaluate z² 3 y² sin z6 dx dy dz

A: Given: ∫01∫0z2∫03y2sinz6dxdydz

Q: 9. Show that if n is a positive integer then n Σ k² ( x ) = n(n + 1)2²−² k k=0

A: Concept: Mathematical induction: Mathematical induction is a technique for proving that a statement,…

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A:

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: 6e at x-b First find where the two curves meet. y = 5e" meets y = 6e where b Then Area = - f(x) dx…

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Q: ∞ The polar curves r = 1 cos and r = 1 + cos are shown in the figure above. Which of the following…

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Q: 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y+ 25 = 0

A: Solution is here

Q: Evaluate the given quantity without using a calculator or tables. cos [sin-¹(3)]

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Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

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Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

A:

Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z) = xy + yz+zx,…

A: Given query is to find direction derivative.

Q: Q1. Evaluate the integral S dx (x + 1)(x² + 1)

A: We need to evaluate the following integral ∫01dxx+1x2+1

Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

A:

Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Here, the work done is given by: W=∫018f(x) dx

Q: A(3) = A(8) =

A:

Q: arbor during a certain 24-hr period is approximated by the function 2]. + 7.9 (0 ≤ t ≤ 24) esponds…

A: The rare of change of a function f(x) at x=c is f'(c)

Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: Find Hence evaluate d dr 1 Š S ₁ (1 +2²2)³/26 0 -1 1+x², dx.

A:

Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: We have to solve above question and the find the two number

Q: Calculate the integral approximations Tg and Mg for (lnx)-¹1 dx. Your answers must be accurate to 8…

A: Given problem:-

Q: Set up the definite integral required to find the area of the region between the graph of y = 12-2²…

A: we have to find out area