Find two unit vectors orthogonal to a = (-2, 1,2) and b = (-2, 0, 1) %3D Enter your answer so that the first vector has a positive first coordinate First Vector: ( 스 Second Vector: (

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: Find the derivative of each function defined as follows: 1. m(t) -6t(5t* – 1)* 2. y = (x³ + 2)(x² –…

A: As you have asked for question numbers 4 and 5 only, so I am solving those only. Thank you.   We…

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Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

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Q: cot'x csc'xdx 4.

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Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: f(x) = x-1(x² + 1)vx %3D

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Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards Let A = [ the card is a black…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: dx J (x² + 2x – 10)²

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms…

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: USE NEWTONS METHOD.  Find the 3rd estimate of the root of f(x)=x2-sin2x-1. . Use X0=0.5.

A: We know Newton's method iteration formula. xi+1=xi-fxif'xi ; where i=0,1,2,3.....    Given:…

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: 4 csc" xdx 2.

A: We have to find out integral

Q: 3 (e) lim (1 x2

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Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: Find the exact length of the curve. x = 2/3t3,  y = t2 − 2,  0 ≤ t ≤ 2

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Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: dx 4. S x²+4x+13

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: For a vector v with magnitude M in the direction of θ.The Horizontal comonent is given by…

Q: |cos'xsinxdx 2.

A: Solve :∫cos3x sinxdx

Q: 1,0 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite…

A: According to the policy, I am providing the answer of first three subparts. Explanation of the…

Q: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Find the radius of convergence and interval of convergencE of the power series. (x 25. E 2)" n=1 n"

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Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

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Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

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Q: *) = (" ; ') - Show that :

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Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A: Given: Biologists stocked a lake with 240 fish. The carrying capacity (the maximal population for…

Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: dx is x V16x2-25 3.

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Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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