Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

Q: Find a function f and a positive number a such that f(x) = 3x a= √√ -6 [² f(t) at t4 a 1+ - dt =…

A: Fundamental Theorem of Calculus Part 1:   If f  is a continuous function on a,b , then the integral…

Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

A:

Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: 3. For each problem, find the area of the surface obtained by rotating the curve about the given…

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Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: What is the area of the region bounded by the curves y = x and y = x³ in the first quadrant ?

A: We are required to find: The area of the region bounded by the curves y=x and y=x3 in the first…

Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Using the same vectors v = (1, 3, 2) and w = (3, 5, 6) and the same point, P = (8, 4,- 2). Find the…

A: We have, vectors v = (1, 3, 2) and w = (3, 5, 6) point,P  = (8, 4,- 2).

Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: To establish a "rainy day" cash reserve account, a certain company deposits $11,000 of its profit at…

A: We have   P = 11000    r = 1.55% = 1.55/100 = 0.0155 Compund quartely: n = 4   t = 4 in first    t =…

Q: Find the 32th derivative of f(x) Enclose arguments of functions in parentheses. For example, sin…

A: The given function is;  f(x)=cos2x Find the 32th derivative.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: Evaluate the improper integral or state that it diverges.

A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

Q: [[[* (x - y) dV, 2. Perform the triple integration: z = 12², and the planes y = 0 and y = 2. where E…

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Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

A:

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

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

Q: For each of the following infinite series, determine whether the series is absolutely convergent,…

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: What is the domain and range of the following function? 34. y

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Q: f f(0) = - = sin(1-0) Sketch the graph of f(0) = -

A:

Q: 7 in X 26°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: Find the general solution of the differential equation y^(4) + y''' + y'' = 0

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Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: 6. y cos5 (sin(2x)), y'=?

A:

Q: 7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy —…

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Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: egral, if it converges. If it diverges, F

A:

Q: 4. Evaluate the upper sum for f(x) = cosx, 0 < x <m,w T,with n=4..

A: f(x)=cos x    , 0≤x≤12π  with n = 4 To evaluate the upper sum for the function f(x) = cos(x) over…

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A:

Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region

Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction &lt;-1,1&gt; Find the gradient…

Q: forin the egral. ayus 4. Perform the line integral for 0 ≤ t ≤ 1. where the cur is the straight me…

A:

Q: Given one form a line, match it with its equivalent equation in another form. x = -t { y = 1 z = 1+…

A: x=-ty=1z=1+t

Q: For an object whose velocity is given by v(t) = 3-t, what is its displacement on the interval t = 0…

A: Given that v(t) = 3-t and interval is t=0 and t=4. We find displacement of this object.

Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: What is the approximate volume of the solid created when the region under the curve y = cos z on the…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: