Find the angle between two lines having slopes of 1, and 1/2 respectively. (A) sin (B cos (c) sec D tan

Q: r=1-2 sin(50) -1 V

A: (1) Consider a given polar equation: r=1-2sin5θ we need to find slope and angle of inclination at a…

Q: 3. For each of the following find Equation of the line tangent of y at the vlaue x. Then sketch the…

A: Topic: Function and trigonometry

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A: Given,         The curve is y=4sinxcosx ; x=π2

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A: Consider the given equation of graph.

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A: Given xy=-4 and y2=2x

Q: The point P(1, 0) lies on the curve y = sin 14m (a) If Q is the point (x, sin). find the slope of…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: Find the slope of the tangent line for the curve r= 9 + 8costheta when theta=pi/4

A: Consider the curve. r=9+8cosθ Find the derivative of the curve with respect to theta. drdθ=−8sinθ…

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Q: The slope of the given curve at B = 60 degrees x = tan B, y = sin B

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Q: b) For the curve r = 2(1 - sin 8) i) Sketch the curve ii) Find the horizontal tangents to the curve

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Q: 10.4-#50

A: To find: the exact length of the curve of equation given below. In the below figure of polar curve…

Q: Identify and graph the following curves. a) r = 3 sin(4θ) b) r = 5 sin θ

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Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A: Differentiate at given point and for and slope then use equation of tangent line

Q: 1. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

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Q: The angle from l1 to l2 is Arctan 1/7. If the slope of l1 is 2, what is the slope of l2?

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 8…

A: Given equation of curve is: x=8sint;y=cost Differentiating with respect to t we get,…

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Q: Q2:Is the point lies on the curve? x* cos y- sin y= 0, (0, 7) if so, find the equations of lines…

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Q: Let r = 2sin(3*theta). a. Find the equations of the tangent and normal lines for the given value of…

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Q: (a) If Q is the point (x, sin 16)), find the slope of the secant line PQ (correct to four decimal…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t I = 4…

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Q: Find equations for the tan-gent and normal lines to the curve y = 1 + cos x at the point (pai/2, 1).…

A: Given curve is,

Q: 1 Find an equation for the line tangent to the graph of y =- tan at the point (3,t/ 12). What is the…

A: Proceed as shown below...

Q: The point P(1, 0) lies on the curve y = sin 16 (a) If Q is the point (x, sin 16 find the slope of…

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Q: t the given point, find the slope of the curve or the line that is tangent to the curve, as…

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Q: Write the equation r²+r(10 sin 0-8 cos 0) = 0 in Cartesian coordinates and identify the…

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Q: at this point. Find an equation for the line tangent to the curve at the point defined by the given…

A: Given data is: x=sint , y=csct  and t=-π6

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 <0 <…

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Q: Find the exact length of the curve. Use a graph to determine the parameter interval. r = cos?(0/2)

A: (1).  The given polar curve is: r=cos2θ2

Q: Consider the curves D1: s = 2 - sin Θ and D2: s = 3sinΘ. What is the slope of the tangent line of C1…

A: The solution are next step

Q: The range R of a projectile fired from the origin over horizontal ground is the distance from the…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Given, x=sec t         ......1y= tan t         ......2

Q: If y=4 cosx + sin 2x, what is the slope of the curve when x=2 radians? * O - 2.21 - 4.94 O - 3.25 O…

A: -4.94

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t=pi/6.…

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Q: Find an equation for the line tangent to the graph of y = tan at the point (4,1/12). What is the…

A: The given graph and the point is

Q: (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve…

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Q: Find the slope of the curve below at the given points. Sketch the curve along with its tangents at…

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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…

A: Solution: Consider the given polar curve : r = -6 + 6 cos θ Differentiating with respect to θ drdθ =…

Q: Q2:Is the point lies on the curve? x² cos² y – sin y = 0, (0, ) if so, find the equations of lines…

A: given curve is                                                  x2cos2y-siny=0,   (0, π) we have to…

Q: 4. Consider the curve defined by 2x2 - cot(y) = 5. Which of the following is an expression for the…

A: 2x2-coty=5 2x2-coty-5=0 to find the slope, we need to take the derivative ddx2x2-coty-5=0

Q: the amplitude, period, and horizontal shift of the function. y = = sin((x + 1))

A: This question can be solved using the concept of general equation of sine function.

Q: What is the equation of the curve whose slope at any point is equal to y cotx + tan?x and which…

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Q: Find the equation of the line tangent to the graph of y = sin r at the following values of x. NOTE:…

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