The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i and j. Initial Point Terminal Point (3, 6) (-2, -8)

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

A: The given curves are: y=x2+2        ....1y=34-x2      .....2  To find the volume of the solid obtain...

Q: 82z 82z 8. If z = x + y Inxy, show that x- 8x? δχδν

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Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: (axy-ay) dx +( 3x'y - 4x) dy = 0

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Q: Find the total mass of a 5-m rod whose linear density function is p(x) = 3 + cos (Tx) kg/m for 0 < x...

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Q: -83° sin (2x) cot (x) dx 370 csc (x)

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Q: A. Find the standard (slope-intercept form) equation of the tangent line to the following: f (x) = x...

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Find the value of a . lim,2 sin a(x-2) 3 2-2

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: 1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg ...

A: Given:  The half‐life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0....

Q: 5e*dx V9-12e3* +4e6x

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: Solve the following Integral Equation: |frkt = xkfr =sin(t)- cos(1)+ 1(7),

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Q: Find the volume of the solid generated by revolving about the line y=-1 the region bounded by the li...

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: Eliminate The Abritrary Constant

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Q: Given: cos 0 e is in QI. What is the value of cos 260? 4 6. o 1 3 O 4 6. 6.

A: We have to find value of cos(2theta).  

Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...

Q: Find the average value of f(x) = x² /57 + x³ 3 on the interval [0,4]. favg %3D Report answers accura...

A: Follow the procedure given below. 

Q: Derive the function Cos

A: Given that: cos(x2-y2)=x

Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: Let ​f(x)=6x−2​, ​g(x)=x2+2​, and ​h(x)=x+26. Evaluate the expression ​(f◦g◦​h)(4​).

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Q: 4 7 7x+25 - Error Analysis. A classmate said that the sum of r²-9 and x+3 is -9 -

A: Given,            The sum of 4x2-9 and 7x+3 is 7x+25x2-9.To find : What mistake did your classmate m...

Q: Find the particular solution for the differential equation: y' + xe = -2x %3D for the boundary condi...

A: Topic = Differential equation

Q: Question 7 The average change of a function f over an interval (x1, x2] is f(#2)-f(21) First find th...

A: First we find out the average rate of change of f(x) over the interval according to given formula th...

Q: A function F is an antiderivative of the function f if F'(x) = %3D for all x in the domain of f.

A: We have to solve given Questions.

Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: Evaluate Ln(-5.3- j2.4) O 4.3143+ j1.0541 O 1.7610 – j2.7164 O -1.2232+j1.9883 O -2.6170 - j3.5246

A: First express the given rectangular point into polar form then using following identities find the U...

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

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Q: Give an example of a definite integral which has value 2022. Only answer is required.

A: Example of a definite integral has value 2022.

Q: Find the horizontal asymptote(s) of the function p(z) f (x) Va(z) where p (x) = 3x? – æ – 2 and q (x...

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Q: If cos 0 > 0 and csc 0 < 0, in what quadrant should A lie? O QIV QII QI

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Q: 2. Find the equation of the tangent line to the parabola y = x² – 8x+9 at the point (3, –6)

A: Given y=x2-8x+9 Formula: dydx(xn)=nxn-1 dydx(k)=0, where k is a constant Consider y=x2-8x+9 Differen...

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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Q: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

A: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

Q: find the centroid of the solid formed by revolving about the x-axis the solid formed by the curve x=...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: Which of the following sequences are convergent sequences? Select all that apply. 7" O an n7 1 O an ...

A: sequences are given, we have to find the convergent sequence

Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on [0,6...

A: Here we have to find the arc length of the given curves.

Q: first

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Q: Evaluate (2 sin? x cos3 x dx 0.

A: The given integral,     ∫0π2sin2x cos3x dx

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

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Q: Let RR be the first quadrant region bounded on the left by the yy-axis and between the graphs of f(x...

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Q: find a standard equation of the line perpendicular to the line ax+by=c that passes throughpoint(xo,y...

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Q: 2. In problems 1-5 verify that the indicated function y = Ø(x) is an explicit solution of the given ...

A: As per company guidelines we can solve first three parts. I hope that the given solution will help y...

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: sin 6xcos 3x dx

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