The curves 1(t) =(- 4t, tº, 4t“) and 2(t) = (sin(-t), sin(3t), t – T) intersect at the | origin. Find the angle of intersection, in radians on the domain 0

Q: Which of the following expressions produce the largest value at t =-? 2 Select an answer and submit.…

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Q: Question 4 > If 0 then 6 %3D cos(0) = sin(0) : = Give exact values. No decimals allowed!

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Q: aluate 4e3 tan z sec2 x dx.

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Q: Q) Plot, on the same figure, two related functions of y1 = sin? (x) and y2 = cos (2x), in the…

A: The two curves to be plotted are  y1=sin2x and y2=cos2x.

Q: Calculate the period of this function: y = 5 sin(2x + 3)

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Q: If (x, y) = (-3, –3), then find the corresponding values of r > 0 and 0 < 0 < 2n in radians.

A: Explanation of the answer is as follows

Q: Find all of the solutions of the equation on the interval [0, 2n]: tan²xsinx = sinx. O 0, п, 2n

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Q: Using Euler's formula, find | sin(nx) sin(mx) dx where m and n are integer numbers.

A: Here we use Euler's formula to reduce the given Integral part into the separate trigonometric…

Q: V. Inverse Trigonometric Function sec? xdx 1. S V5-sec² x хах 2. S -7-8х-x2

A: Integration by Substitution: The given integral ∫fxdx can be transformed into another form by…

Q: Let f(z) = (1+15r cose + ar sine) +(3+ẞr sin0+6r cose), where z= r eie, be an entire function. Then…

A: Please see the below picture for detailed solution.

Q: Find the amplitude and period of the function.

A: Given, y=32sinπ2x The standard form of the amplitude of the wave is y=AsinBx+C where, y is the…

Q: Find the value of the expression: bain(z)-c.cos(z) fsin(z)-g.cos(z) to three decimal places for b=15…

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.