The position of an object moving in simple harmonic motion along the x-axis is described by the equation X= 35 cos(2 nt - T /4) cm

Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate pla...

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Q: Solve the DE using homogenous equations: Let: x = vy dx = vdy+ydv xy dx - (x2+3y2) dy = 0

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Q: u = (6, -5, 8)

A: We will find two vectors in opposite direction orthogonal to the given vector. 

Q: 6 Convert your original pair of complex numbers to polar form. D =1-j2 A =2+ j3

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Q: If f(x) has an inverse g(x), find g'(a). f(x) = x+3x+2, a =2. O a. 1/3 O b. 1/4 O c. 1/2 O d. None o...

A: This question is based on inverse of function.

Q: Given K= (-2,-1), L=(2,4), M= (-3,-1) and N= (1,4), Prove that KĽ and MN are equivalent by Showing t...

A: Two vectors are Equivalent if they have same magnitude and direction.

Q: For the function g(x) = xv2 - x2 , use Calculus to do each of the following: a) Find the x-values of...

A: Here we have to use the concept of derivatives. according to our guideline we are supposed to answer...

Q: Verify that the function f satisfies the hypotheses of the Mean Value Theorem on the given interval....

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Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A = 2+ j3

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Q: Determine any planes that are parallel or identical. (Select all that apply.) O P;: -60x + 90y + 30z...

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Q: 16. 3x² + 3y? + 3z² = 10 + 6y + 12z

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Q: Determine a, for the periodic function f(t)= 2t, 0<t<2n, f(t+2n)=f(t)

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Q: 3.(x2 + y?)dx – xydy = 0

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Q: If lim f(x) = 9 and lim g(x) = -4, which of the following is true? %3D a. limif(x) + g(x)} = -5 b. l...

A: 1) Given that limit of f(x) at x=2 is 9 and limit of g(x) at x=2 is -4, then we have to find correct...

Q: Identify if the given function is continuous on a given interval. 4. [3,7] 5. (-5,5) with explanatio...

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Q: CHECK

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Q: rert your original pair of complox pu

A: We have to convert in polar form of the given complex number

Q: y'= (6x-2y-3)10 When 9polyg the vavable change u= - 6x-2y-3 the eqn converts 'into? Oa du = (-2u" + ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Given problem:- sets of parametric equations and symmetric equations of the line that passes through...

Q: (8) To verify that (x+1) is a factor of P(x) = x' + 2x-5x-6, which of the following is correct? P: T...

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Q: If we want to evaluate the integral x+18 1= +64 dx, and dx = do and therefore the integral becomes, ...

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Q: Find the magnitude of v. V = 4i %3D ||v|| =

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: Solution is written in below steps.

Q: USing Inverse DiPfecren tial ofera tor to find Particular Solution of 9 -4Y = Cosh (2x -1) + 3 %3D

A: Based on the general formula of particular integral we will solve the question.

Q: Given the lim f(x) = 7 and lim g(x) = 11, what is lim[Ự(*)•g(x}}? %3D г. 28 b. 44 C. 77 If lim f(x) ...

A: we know that limit get multiplied when we apply to limit to multiplication of two functions , theref...

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: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates...

A: answer of given question is in step 2

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

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Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

Q: 5. Solve the following Exact/Inexact Differential Equation. If it is inexact, then dy solve it by fi...

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Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

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Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos ...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Option A

Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

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Q: _Show that the following are metric on R": d,(x,y) max, isn Ixi - vil : d,(x,y) E X-Yil.

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Q: A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base i...

A: This question can be solved using the concept of maxima and minima.

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: xy dx (x² + 3y) dy = 0 -

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: Find your answer below 

Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How ...

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

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Q: dy 3. Find using implicit differentiation given that dx y? seca – log(r? + y²) = e* + cot(ry).

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Q: Determine if the geometric series converges or diverges. If a series converges, find its sum. 3 + .....

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Q: 5. Solve the following Inhomogeneous Differential Equation 1 y" + +y = x² – 2x 4

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Q: Find the unit vector in the direction of v. V = -6.3i + 3.7j u =

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Q: Consider the following. u = (8, 7, 2), v = (-4, 1, -9) (a) Find the projection of u onto v. (b) Find...

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