Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B. ū = -3 V26 V26 V26 -3 3 -2 C. ū = 22 22 22 -3 3 -2 D. V 26 26 26

Q: (x² + y²)dx + 3xydy = 0

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Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: Solve the differential equation: Finalize answer free of logarithms and radicals, Express final a...

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Q: Find the general solution of the following differential equations (1) y' = x- 2y cot 2x dx (2) = cos...

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Q: Sketch the region that corresponds to the given inequalities. x + y 2 4 ys 1 x2 0, y 20 y y 20 20 20...

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Q: dy The equation dæ 1+In(xy) is fırts-order linear exact Bernoulli's equation O homogeneous coefficie...

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Q: Which Riemann sum represents the illustration shown? AY 4 3 3 o 12 x .2 i=0 3. o 1 E x; i=0 i=0 3 O ...

A: The given line is: y=x2

Q: Find f'(a). f(x) : Vx + 9 f'(a)

A:

Q: V150 =O (Type an exact answer, using radicals as needed.) Simplify by factoring. %3D V150

A: As we know that; The radical rule: (1). a2=a ; a≥0 (2). ab=ab ; a≥0, b≥0 Given: 150

Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28 ...

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring ...

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount o...

A: Let X0 be the initial amount of material when t =0            After time t the amount which is left ...

Q: y(8y² –5)dy 4y* –5y² +5 *(0–4)de (0+5) (x+e*)dx 1. 3. v tan v*dv 4. 5+31ncosv* 2.

A: To evaluate the given integrals.2 ∫θ-4 dθθ+523 ∫x-1+exex-ln1x dx

Q: For the following differential equation, (3D - 3D2 - 3D+ 6) y= 0. how many arbitrary constants are e...

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Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

A:

Q: The differential equation y" – 4y = e2t has a particular solution of the form yp = uje + uze2t. dui ...

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Q: Find the curvilinear asymptote. x4 - x² – 5 (x) x² - 3 y =

A: We will find the curvilinear asymptote of the given function.Below find the solution in the image.

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

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Q: Find f'(a). 2t + 12 (t) t + 9 f'(a):

A: Given that: f(t)=2t+12t+9

Q: A. Find the first derivative of the given function/s. 1. у %3D a-w, B. Find the second derivative of...

A:

Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: x-3(x-1 + x)²dx

A: Given, ∫x-3x-1+x2dx We have to evaluate the integral.  

Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b) Re...

A: The solution of two parts are given in the next steps.

Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as P(x)=(x+a...

A: Given query is to find the value of c.

Q: dx -x - e

A:

Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

Q: at is AY 10 8- 4 2 4 O Area = 10 O Area = 12 O Area = 14 O Area = 16 3 2. 2.

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Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

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Q: 3. Solve the inequality 12 + 4x-x² > 4 using the graph. Express your answer two ways; on the number ...

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Q: Apple pies are often served with ice cream on top. If the pie is too hot, the ice cream will melt to...

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Q: dy A possible solution to the differential equation t dt (2) + 2y = 4t + 1 would be: y = # + 4t 1 3 ...

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Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

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Q: Three times a number is two or more than twice the other. If the sum of the numbers is nineteen, wha...

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Q: sec(ln r) tan(In r)dr 7. J4r? -r sec(ln r) .2 1/

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

Q: A cable that weighs 8 Ib/ft is used to lift 700 lb of coal up a mine shaft 400 ft deep. Find the wor...

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Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: (2) A study indicates that spending money on pollution control is effective up to a point but eventu...

A: The percent of pollution removal when x million dollars are spent is given by  as below: a. We need...

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = f'(x) =

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Q: 8. Formulate the Law of Sines given a triangle with angles A, B, C, and sin A sin B sin C a C sin A ...

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Q: 0st <4 f (t) = | 2 ,t24 O A.) f (t) = t -tu (t - 4) – 2u (t – 4) B.) f (t) = t +tu (t – 4) – 2u (t –...

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Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: follow the procedure given below.

Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

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Q: Find an equation of the tangent ine to the function y 4at the point P1, 4) Solution We will be able ...

A: We will use point - slope form to find equation of tangent line to curve through given point

Q: If   f(x) = 8x2 arctan (9x2),  find f’(x)

A: Explanation of the solution is given below...

Q: JESTIUN 8 Use generating functions to find the number of ways to get a sum of 25 when 10 distinct 6-...

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Q: (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x) = (at the point (1, ...

A: Part a,             y=8+5x2-2x3 and x=a

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

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Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A: Here is the solution

Q: 15. A father is 27 years older than his son. Ten years from now, he will be twice as old as his son....

A: We are authorized to solve only one question, please repost remaining questions Age problem