Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°, 1).

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Q: 4. State the domain and the range of the cosine function.

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Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

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Q: The graph of y = sin (Bx + C) will have a horizontal shift of _________.

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Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

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Q: (D) A butterfly is to fly from a rose at the origin in the direction of other rose locate at point (…

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Q: Find the slope of the curver=-6+6 cos 0 at the points 0= + Sketch the curve along with the tangents…

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Q: Find the period of the sinusoidal function. fx 4 -3T -2T 2T -1 -2 -3

A: given,

Q: Could you please help me find the equation for this sine graph? Thank you

A: Maximum value= 4, minimum value =-2  So amplitude =(max-min)/2= (4-(-2))/2=6/2=3

Q: How can I get the result? Which is the result?

A: The function is given by,

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Q: find an equation or the curve that passes througn point (0.1) and whose siope at (X,) Ts XY the

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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.