The curves f(x) = x² – 3x − 4 and g(x) = 3x - 9 intersect at the point (1,-6). Find the acute angle of intersection, in radians on the domain 0

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A: A To find; The average cost function. Given information; The company cost function is Cx=7.5x+80.…

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A: The length of the side of a square is increased by 100%. Its perimeter is increased by how much…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: Use arc length

Q: 25 In (x) X dx

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A: According to the question, we can answer only first question and rest can be reposted.

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

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Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

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Q: So dx VL-4X2

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Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

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A: See the details solution in below

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A:

Q: Let C be the curve y = 12 11 10 9 8 6 5 4 15 2 4 1 + for 0.6 ≤ x ≤ 3.7. 3x 25 Find the arc length of…

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Q: Which of the following is a unit vector parallel to the vector?

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Q: can you please write it clearly for a better understanding

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A: We have to draw the graph

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Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞o). Verify that…

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Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

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Q: Sketch the figures and show step by step solutions. Find the area between the curve y = x3 – 6x2 +…

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Q: The inverse of a matrix A is denoted by A-1 such that the following relationship is A A-¹ = A-¹A = I…

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Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

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Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: X-3 (x-2)(x+4) dx

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Q: 1. 11 0 y x²exy dxdy

A: ∫01∫y1x2exydxdy

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Q: 25 5.²5 4 Incx √x dx

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Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Evaluate 3 4 [*√v -√²+ = - = + 1 x x = [ 3 X4 15.125 -15.512 None of them 1.5215 15.215 15.512…

A: Application of integration

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Q: Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition, and…

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Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: 1.) S dr 3 f from 0 to ³

A: We have to find out the solutions

Q: Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

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Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0, 4, — 3), and R= (-6, -1, - 5)

A: