The points A(3, 0, 1), B(2, 0, 2) and C(3, 1, k) form a triang area Determine the value(s) of k for which this is true 2

Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

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Q: 2 problem: it | b₂ b3 2 LG C₂ Cz 201-2 b b 2 46 40 2 5 - 203 bz 3 403

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Q: [ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1

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Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and = . The volume of the solid formed…

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Q: 2- Evaluate the integrals in Exercises 7- 8- 9- In 9 Son 24/2 In 4 S dr [ 21 e ² dt ex/2 dx

A: To evaluate the given integrals.

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, cos x = 0, y() = 0…

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Q: 4.) Find an equation for the plane tangent to the surface 9x² +4y² +9z² = 34 at the point (1,2,-1).

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Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: 3. State the slope of the tangent to y = ln (2x + 1) at x = 1 a) = b) = - In3 d) In3

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Q: Find the derivative of_h(x)= (3x+4)³ (-3x-2)

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the quotient rule…

Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By the 2010, the population had…

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Q: find differential equation of the following equation 3) dy +xsin(2y) = x cos² (y)

A: Given

Q: How much did Speedy Movers borrow for a debt that accumulated to $51,034.26 in four years? The…

A: Given, Amount(A)= $ 51034.26 t= 4 years r= 3.25%= 0.0325 n= 2(semi-anually)

Q: Determine the number/s at which the function F(x)=√√4x² is continuous.

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the intervals where…

Q: Let the vector v have an initial point at (2, −8) and a terminal point at (−1, −8). Determine the…

A: Let the vector v have an initial point at 2, -8 and a terminal point at -1, -8.To determine the…

Q: find Sexcos'x dx by using integral by Parts.

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Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

Q: Let C be the circle with radius 3 centered at the origin, oriented counterclockwise. Define a vector…

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Q: Use polar coordinates to find the volume of the given solid: Insider the sphere x² + y² + z² = 16…

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Q: 3x52x³ +5x² - 2 2³ +1 4. ·[3.25 da

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: Complete the table after finding a simplified form of the difference quotient. 5) For the function…

A: f'(x) ={ f(x+h)-f(x)}/h

Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

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Q: QUESTION: 2. Sketch the graph and solve for the volume of the solid generated by revolving along the…

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Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: Q3. Evaluate the following integrals 1) cothx.csch²x. dx (50-3x - W√x++) de

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Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: min

A: Please refer to the image below

Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4-2² and y = 0.…

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Q: Use the following information to answer the next question the graph shown below is obtained by…

A: Please refer to the image below

Q: Which of the following accurately described the parametrized surface below? O paraboloid O cone O…

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Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: Calculate the area and show the graph of the curves:

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Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

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Q: On the coordinate plane below, sketch the position vector (0, 3). PENCIL THIN BLACK

A: solution:-sketch the position vector 0, 3

Q: Given f(x) = sech (x) and below is the graph. Determine the domain and range for f(x). f -1 ii)…

A: Pu

Q: Find ď²y dx² x = 3 sin t in the parametric equation y = 3 cost 0≤t≤ 2π.

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Q: Solve the problem. The velocity of water ft/s at the point of discharge is given by v- 12.80/P,…

A: Given; v=12.8√p, pressure=20.00 lb/in^2