Consider the vectors. (-6, 2), (8, 1) (a) Find the dot product of the two vectors. -46 (b) Find the angle between the two vectors. (Round your answer to the nearest minute.) I 59 °31 X

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 2. Use the graph below of y = f(x) to answer the following question. point 8 4. point 1 point 2 3 2.…

A: To answer the given function using the given graph.

Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

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Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: 3. An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a…

A:

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the x- coordinate of all critical points, b) the open intervals…

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Q: lim * 0 sin5x'

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Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: Current Attempt in Progress Describe the graph of the equation. 14 sin 9t i + 14 cos 9t j r = It is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

A:

Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

A: This question can be solved using the concept of combination.

Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

A:

Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: -1

A:

Q: Evaluate the integra 4 X - 5 /1

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Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: 2 Compute limx→14-x2 1 + X-1

A:

Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: n k=1 Note: Your answer should be in terms of n.

A:

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Find the Taylor series for f (x) centered at the given value of a. f (x) = cosh x , a = 1.

A: The Taylor series for f(x) centered at a is given by f(x) = f(a) + f'(a)1!x-a + f''(a)2!x-a2 +…

Q: Find the exact length of the polar curve. r = e4?,    0 ≤ ? ≤ 2?

A:

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

A:

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

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Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

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Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden…

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

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Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: x³Væ² + 1 dx

A: Solve the integration

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

A: Given problem:- In a trend that scientists attribute, at least in part, to global warming, a certain…

Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

A: