Q1) Graph the parabola (y = X² + 4x +3) and abel the Vertex, axis, and intercepts. Q2) Put the equation (3x² + (y- 2) = 3 ) in standard form and sketch the elipse. Q2) Use the addiion forulas to derive the identity of (cos (x-) = sin x) Q4) Test the continuity of the function fx): F(x) = 3x - 2 - 25x <0 Os X<1 X=1 2x +1 QS) Fnd f y = In(tan-ix) Q6) Find lim Q7) If y = tan t ,x = tan?t at t= = „Find 2 by using Chain Ruke

Q: (8) 3a. Given the functions f(x) and g(x), find: a) domain b) range c) inverse of the function d)…

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Q: Cos Q1:solve lim オ→+0 π

A: Step:1     Solve:limx→∞  cosπxπx

Q: The point P(-1,7) lies on the graph of h(x) = 2x + 9. Determine the y-coordinate of the image point…

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Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: C) Write a function f(x, y) such that the domain of f(x,y) is D = {(z,y) | 2² 29-y²). Also provide a…

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Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: Q1/: a: Using the relation showthat Jv2 (x) =, cos x

A: See the attachment

Q: Consider the function f(x) = 4x − x² and the point P(1, 3) on the graph of f. (a) Graph fand the…

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Q: State the set of zeros of f(x)=2sin(x)cos(x) using set builder notation.

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Q: Exercise #3: Which of the following is a point where; (1) (0,7) (2) (-1,-1) (3) (-2,4) (4) (2,10) 7…

A: Please see the below picture for detailed solution.

Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: 5. Figure Q5 shows the graph y = f(x) on the xy-plane. 54 -5- Figure Q5 (a) Does the graph above…

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Q: Eketch a graph of the function f(x) = 5 sin ( 7x ) 3 6+ 5- 4- 3 -8 -7T -6T -5T -4T -3A -2T ST -2 -3…

A: Given, fx = 5sin13x  We have to sketch the graph of the function

Q: Fra) = Sin (2t) Find the 7h taylor Polynomial of

A: Given function is  Fx=∫1xsin2tdt

Q: Find the equation of the tangent plane to the graph of 7y √x f(x, y) = at the point (9,-1). (Use…

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Q: The point (10, 1) is on y = f(x). Determine the corresponding coordinates of this point on the graph…

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Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

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Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: Sketch the graphs f(t) = 0,73t³ —2t² +0,6-and-g(t) = 0,17² - 0, 5t + 1. 1·¶ T

A: To sketch the graphs for given curves.