Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. Round your coefficients to three decimal places. IvI = 9, theta = 10-degrees

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

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Q: Choose the point which shows the correct location for the polar coordinate (-3, 315). 90 2 WIN 135…

A: The given polar coordinate -3, 315°

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: Use the graphing utility to plot the graph of y = tan on the interval [1, 50]. y = 2-8 y 2:45 2-1…

A: Let's find.

Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: Solve the differential equation. dy 9xy dx %3D for y + 0

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Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

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Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: Drection: Evalate /(2) fr the gien functons. a. -2 b. -6 d. 2 4 f)=P-4 a. 3 b. 6 c. 12 d. 2

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Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: 4. Sx 2* dx

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

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Q: Evaluate the following integrals: 3 tan°x dx 1.

A: We have to evaluate the integral ∫tan3x dx.

Q: dx 4. x²+4x+13

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Q: Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period=…

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Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: Evaluate the integral using the following values. 9. x3 dx = 320, 9. dx = 4 dx = 16, %3D - 10x + 3)…

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: dy у — х dx Y + x

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Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: Sx² e**dx 1.

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Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y'…

A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

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Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: 14.A girl walks 2 km due east from a fixed point O to A, and then 3 km due south from A to B. Find…

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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: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i + 2 sin(t)j + tk; t = 2 T -25 i + 15 k NE) =…

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Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

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Q: 15 -8 -3

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Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Find the volume of the solid that results when the region enclosed by 7x 0, х — 8, and Y : 0 is…

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Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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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,…

A: Given problem:- D(x) is the price, in dollars per unit, that consumers are willing to pay for x…

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: Verify that the vectors a = (2, 5, –1) and b = (3, –1, 1) perpendicular. а. are

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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