Use a reference triangle to find the given angle. cos (お)- -1 cos (Type an exact answer in terms of T.)

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: cor component of v orthogonal tob is ).

A: We will find the vectors. 

Q: Activity 1. Slope of the Tangent The rate of change at any point on a function is the slope of the t...

A: We want to find rate of change of the function at the given point. 

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

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Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, –4) (a) radians ...

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Q: Find u v, u· u, ||v||2, (u · v)v, and u · (3v). = (2, 11), v = (-5, 2) %D (a) A. n (b) u u (c) ||v||...

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Q: How many license plates can be made using either two uppercase English letters followed by four digi...

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: Which of the following is the general solution for the differential equation: y" + y – 6y = 0 where ...

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Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

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Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

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Q: lim an lim 2 ニ2,

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Q: show thad the diff. equ is hamageneaus and Salve it

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: u=4i - 5j + ku=42+(-5)2+12u=42v=i - 4j + kv=12+(-4)2+12u=18Dot product:u·v =uv cosθcosθ=(4, -5, 1)·(...

Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How ...

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u. (The an...

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

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Q: Find the magnitude of v. V = 4i %3D ||v|| =

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 70cm³ /s. How...

A: Volume of the sphere , V =43πr3 ; where , 'r' is the radius of the sphere. Surface Area of the spher...

Q: (b) Sketch the vector with its initial point at the origin. sider the following graph. (4, 4) (4, 4)...

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Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

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Q: Find the unit vector in the direction of v. V = -6.3i + 3.7j u =

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Q: sin (:) tan r 2. Find the derivative of f(r) = using logarithmic %3D differentiation.

A: To find the derivative of fx=sin31x tan x5π-x5e2x using logarithmic differentiation.

Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j – k O p...

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A: To find out the terminal point. 

Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In t...

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

Q: Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

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Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Activity 2. Instantaneous Velocity The velocity of moving object at a point during its motion can be...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j – k v = 4i + j - k O p...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Jse implicit differentiation to find an equation of the tangent line to the curve 3xy³ + 2xy = 35 at...

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Q: 5.(y?dy) = x(xdy – ydx)ey

A: xexy(x dy-ydx)-y2 dy=0x2 exy dy -xy exy dx =y2 dyx2y2exy -xy exy dxdy =1dxdy=x2y2exy -1xyexy x=vydxd...

Q: Consider the following. u = 9i + 4j, v = 8i + 2j (a) Find the projection of u onto v. (b) Find the v...

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Q: m 1: Special Systems 0.5 A = B 1 0.25 0 0.25 1 a all the values for a and B for which,

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Q: Let f(x) = 6 sin- (x³) f' (x):

A: Basic identities of differentiation are used

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: The lengths of u and v and the angles that u and v make with the positive x-axis are given as  : || ...

Q: solve and equation using separation of variables e^y dx - x^2 dy = 0

A: First separate x variable and y variable and then integrate.

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: Find the unit vector in the direction of v v = -6.3i + 3.7j u %3D

A: Let the unit vector in the direction of v be u.

Q: COLUMN A _1. S(G-0) dx =- 4 In|x|+ C ? 8 _2. )dx dx = 6Vx + C ? _3. S(3VE +는) dz=(x+ 3) + C

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Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: trakuak the triple Integral

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Q: _Show that the following are metric on R": d,(x,y) max, isn Ixi - vil : d,(x,y) E X-Yil.

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Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j u =

A: Given the vector is v = -6.3i + 3.7j We have to find the unit vector in the direction of v.

Q: Let a = ci +jand b = 9i + 12j. Find c so that the angle between a and b is- Round your answers to fo...

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