Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the first non-zero coordinate of the first vector is positive. First Vector: ( Second Vector:

Q: Determine if the equation is separable. If so, solve the initial value problem. " e'y'(t) = t (In…

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Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x <…

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Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: a. Draw the funclion y=a/ %3D

A: Find your answer below

Q: Evaluate the integral. .V3/2 35x2 dx V1- x2

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Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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Q: DO NOT include spaces in between characters. * Find the value of at the point (0,1) given the curve…

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Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

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Q: Consider the functions f(x) = -2r + 15 g(x) = x² h(r) 16 A graph of the three functions is provided…

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Q: Evaluate the following limit using Taylor series. lim 2x X00 ... Rewrite the given limit using a…

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Q: Consider the discrete time dynamical system 5x1 . This DTDS has 3 fixed points. Choose the correct…

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Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: In x2/25+ x² dx , we let x= 5sine. T True F False

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Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: uestion 9 Saved t is possible for y = f(x) to have an inflection point at X = A even if f (a) is not…

A: Given query is to find that statement is true or false.

Q: Evaluate the following limits: V10 + 6х — 2 (a) lim x→-1 x2 – 2x – 3 1 – sin(x) (b) lim x→5 (2x –…

A: Use l hospital rule for finding the limit.

Q: Find the absolute extrema of the function f(x) =(x+1)* in [-2,1], if there is any.

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Q: 5xy = 4x?z – 3yz?; yx and yz. -

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: We can find the answers as below.

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: Determine whether Rolle's Theorem can be applied to f on the dosed interval [a, b]. (Select all that…

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Q: Q38: If y = e2x sin 5x, then which of the following is true? (a) y" – 4y' + 30y = 0 (b) y" – 4y' +…

A: Given,            y=e2xsin5x

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: dy Find given x' +y =8y. dx

A: Given  x3 + y3 = 8xy

Q: 5 – 2x dx V5 + 4x – x² Hint: 1+4 = 5

A: To integrate the given function.

Q: What is wrong with this calculation? 1 dx = In 1- In 1 = 0 %3D Choose the correct answer below. 1. O…

A: Given expression is                                         ∫-11 dxx = ln x-11 = ln 1 -ln 1 =0    We…

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

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Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is V4- x²…

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Q: 20 Q41. Term independent of x in expansion of is? бх3

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Q: Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

A: To determine whether the given series is convergent .

Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: 5. S csc* dx *csc4 x²

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Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

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Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

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Q: Qel Fnd the lais Llim hth Cosh んう0 Sinshe-Cosl 2lim メa00 2x2_8

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Q: In XVX2-625 dx , if we let x-25sece, then dx = 25secede. A True B) False

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Q: 8:44 C ing e Determine whether the series is convergent or divergent. 00 1 n = 1 The series is a…

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Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i +4 sin(t)j+tk; t= NG) - ||

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Q: Graphing a region and finding its area. 1. Sketch the region and find the area of the region bounded…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: V9 – 4x2 -dx Evaluate: x2 6/ 4x2 + 2x sin A f (x) +C 4x² + 2 sin () + C -1 V9 f (x) = B 3 None of…

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Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: Work Problem 1 [With integrity statement] (! Let R be the region bounded by y=x+ 2, y 0, and x=2.…

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Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

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Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

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Q: Write T if the statement is true, or F if it is false. W. 1. -dx x' +C 3 %3D 45x=-5x +C 9. 2. %3D 4…

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