Find the points on the curve of intersection of the ellipsoid x² + 4y² + 4z² = 4 and the plane x – 4y – z = 0 that are closest to the origin, and find the minimum distance.

Q: Find the solution of the following system of equations by inverse using Gauss-Jordan and inverse usi...

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Q: Question 14: Use the Gauss-Jordan process to determine for which value (s) of A will the following s...

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) = 3x + 10, what ...

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Q: Determine the missing number in the sequence. 2, 5, 8, -- 14, 17

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Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

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Q: Q1) Determine the gradient of the following scalar field V = e(2x+3y)cos5z Q2) Given f = x²y + 3z + ...

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

Q: Evaluate | f'(x) sin f() dx. Your answer should not contain f, which is a differentiable function wi...

A: Properties of the integral  If I=∫f'(x) g(f(x)) dx then using the substitution t=f(x) ⇒dt=f'(x) dx ...

Q: Solve: (cos x) · (dy/dx) + y sin x = 2x cos2 x, y(Tt/4) = (-15/2-n2)/32.

A: The given differential equation can be written as :            dydx +ytanx = 2xcosx So, the integrat...

Q: If a and b are complex numbers, prove that |a+b|<\a|+\b| .

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Q: Mark’s age twenty years ago if she will be N years old at 10 years from now? a. 20 - N b. 30 - N c....

A: We want to find Mark's age twenty year ago.

Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection o...

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Q: dx - - In[F(x)]+C. What is f(/5) ir c = 0? For I (x+x³)(x Tan-'x+ 1) A 3 B D + 3

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Q: Find the fourier series expansion of the periodic function f(x) = e², -a < I < 7, (1 + 27) = f(r). H...

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Q: Given Cost and Revenue functions C(q)=q^3−9q^2+56q+5000 and R(q)=−3q^2+2500q​, what costs should the...

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: Find the roots: x3 = 2 - 3i

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Q: To get a feel for higher order ODES, show that the given functions are solutions and form a basis on...

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Q: 7 6. Let D be the cone-shaped region shown. Evaluate: z dV 3. 4. 4 -3.

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Q: dx - = In[F(x)]+C•What is F(3) if C= 0? For (1+*;_u®L x)(g*+ x)

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Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m 1...

A: Clearly, the given figure is a pyramid.And we know that the surface area of a pyramid is: S=B+12P·l ...

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

A: Solution:   

Q: Give

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Q: We now construct a graph G on 8 vertices as follows. Let B = {0000, 0001, …, 1111} be the set of bi...

A: The given set is B=0000, 0001,…,1111 be the set of bit-string of length 4. There are exactly 16 such...

Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

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Q: I Find the second derivativety") of the following functions and simplity the final results. 1. y= x ...

A: The quotient rule of derivative states that d dxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g(x)2. The derivative of...

Q: Find the Laplace Transform 3.f(t)=(t + 2)²et

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Q: Use the method of singular perturbation to understand the qualitative behavior of the following syst...

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Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: Label the special right triangles with the correct "n" rules. 30 45

A: In the first triangle, we haveThe angle, θ=45°And in the second triangle, we haveThe angle, θ=30°And...

Q: (c) Prove that x - 11 |x| + 11 |x² + 36| 36 for all real r.

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Q: a) Pablo stands on a high dive platform for several seconds. Then he dives into the pool and swims a...

A: We are given two situations and 4 choices of graphs each of which represents the situation. We need ...

Q: TASK 2: Awards Dinner Tran is in charge of the school's Awards Dinner She set up the multi-purpose r...

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Q: Convert 527262746715, to X16 О ААВВСССDD О АВВACCDCD АВАВССDDC О ААССВВDDC О AADDCCСВ О АВАСВСDCD

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: Get the interval and radius of convergence of this given power series (х — 3)" n n=1

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Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

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Q: Sketch the graphs of the following functions. 1 (i). f(x) = x 3 (ii) f(x) = x + x? (iii) f(x) x? - 1...

A: We have drawn graph of each functions by hand . 

Q: Suppose that t hours after the injection of x milligrams of adrenalin the response is R units, and R...

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Q: The twice-differentiable functions fand g are defined for all real numbers x. Values of f, f', g, an...

A: The given functions f,g and their derivatives f',g' are defined for all real numbers and their behav...

Q: Let 0 < c < 1. Compute the integral rc+ioo dz Jc-ioo sin nz' where the integration path is the strai...

A: We will use the basic knowledge of complex line integrals to answer this question properly, in detai...

Q: (D³ + 4D² + 9D + 10)y = -24e¯* when x = 0, y = 0,y' = -4, y" = -10 ANSWER: y =e-2* + e-cos (2x) - si...

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Q: 22 23. Find the product. (-3x – 7)(5x + 8) 24. What's the equation of a horizontal line through the ...

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Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

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Q: Question 33 Evaluate (~p q) -→~(rV ~q). O TTFFFFFT TTTEFFTT O TTFFFTTT O TTFFFFTT O TTTFFTTT O TTTTF...

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Q: Using Fourier Transform of derivatives and Table of Fourier Transform in the Appendix A, solve the f...

A: We are given the following differential equation.           y'+9y=δ(x)        -∞&lt;x&lt;∞y(0)=0,y(∞...

Q: 7. Find the Upper Bound (UB) and Lower Bound (LB) for f (x) = x' – 3x + 24. a. Unbounded. b. LB =-3;...

A: It is given that,                      fx = x5-3x3+24 For any real number c ; Consider,   fx = c Tha...

Q: laptace loma farm of L[fa] = FIS) L[ fiw] = t" [ FIS)]

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Q: Given points are CX,,8,).(X,%%),CXo,Y) in the plane, with X, <Xz <Xg. Use det V = (X2-xi) (Xg- X.) (...

A: Given the points x1,y1, x2,y2, x3,y3 in the plane with x1&lt;x2&lt;x3. We need to figure out the 2nd...

Q: dx - = In[F(x)]+C. What is F(3) if C= 0? For %3D (x+x³) (x Tan-!x+1) -1 A +

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