Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in terms of the unit vectors i and j. Provide your answer below:

Q: How much would you need to deposit in an account now in order to have $5000 in the account in 10…

A: The Compound Interest Formula: A = P 1+rnn·t where A = Accrued amount P = Principal amount r = Rate…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J sin (2x) 6 + cos²(x) dx

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Q: dy + p(x) y = g(x) dx y=e³¹f {g(x)e¹} dx+Ce¹ I= [p(x) dx

A: Given:dydx+p(x)y=g(x)

Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: How many 4 card hands are possible with a 26-ċard deck?

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Q: A curve is given parametrically as x = secht, y = cosecht + 2 of the curve is ...? X ○a) y = √²² +2…

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: 1 N 3 2 1 Where: a = 1 2 3 To find the blue shaded area above, we would calculate b [' a f(x) dx…

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Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

Q: t OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: Given rate of net sales = n( t ) n( t ) = 198 + t2 − 0.14t5

Q: otal daily cost (in dollars) of producing a mountain bikes is given by C(x) = 1,095 + 6 x+ 0.08 x².…

A: To solve the following problem

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: Use integration by parts to evaluate the integral. √xe4x dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method

Q: 9. Passes through P = (0, 1, 2) and orthogonal to both d₁ = (2,-1,7) and d₂ (7,1,3).

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Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: stitution to carry out the following integration: nt of integration, enter it as c. 8 (x³ + 2)° ite…

A: The given integral is (x5+2)85x4

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: The temperature of a room, in degrees Fahrenheit, on a certain day is modeled by the function f…

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Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

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Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 11. Let f be the function defined by f(x) = [x – 2] for all x. Which…

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Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: 5. 6. 7. dx x² + t√t2² + x² dt tx dy de dx dy 0sec(y/0) + y Ꮎ 4y - 3x 2x - y

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Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

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Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: (D3-2D2-5D + 6)y = e³x, Find Yp O a. 1 O b. O C. O d. 10 e xe 1 xe 3x 10 3.x 10 10 O e. e. none ∙e…

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Q: Express the limit as a definite integral on the given interval. 4 lim [3 - 4(x,*)² + 6(x;*)³] Ax,…

A: Given:- limn→∞∑i=1n3-4xi*2+6xi*3∆x Interval 0,4

Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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Q: 6.2 7.2 6.8 5.6 5.0 4.8 4.8

A: Given pool, The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter…

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The given curves are: y=16-x2, x-axis or y=0, and the lines x=-4 and x=4   So, the bounded region is…

Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

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Q: Question The region D bounded by y = e, z = 0, and y=z³ is shown in the following figure. Is this…

A: The given shaded region is of type II If we will find the area of the shaded region then firstly we…

Q: For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select…

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Q: x²-x+6 lim x⇒-2 (x + 2)²

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Q: 3. (y² - xy)dx + x²dy = 0

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Q: 120 2 A sides of lengths 6,10 and 7. Find the mesure of it's largest angle to the nearest degree…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 4 + √9-x²) dx

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Q: 5. dy 0sec(y/0) + y de Ө

A: 6. dydθ = θsec( yθ ) + yθ

Q: Give a rational function that has the given graph. [You may leave the function in factored form.] 10…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A: A pair of dice is rolled.