Find the slope of the line that is tangent to the graph of f(x) = x° + 2 x³ – x² + 2 at x = 1. а) О 12 b) O 13 с) 0 10 d) 09 O 14

Q: Construct a line perpendicular to the line below through point W. W

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Q: 2. Assume the lines that appear to be tangent are tangent. Find ZW. Y 12 X 20 ZW =

A: Theorem  The tangent at any point of a circle is perpendicular to the radius through the point of…

Q: ind the point P on the line y = 5x that is closest to the point (78,0). What is the least distance…

A: This question is related to straight line. we will solve it using the condition of shortest distance…

Q: Consider the line y=x. Where is it concave up? Where is it concave down? Does it have any inflection…

A: Given line y = x.

Q: O Evaluate )ds where c is the line segment from (-2,0) to 0,2).

A: We will parameterize C and solve.

Q: Evaluate (x+ y)ds where C is the straight-line segment x = t, y= (4- t), z=0 from (0,4,0) to…

A: Given that x=t,y=4-t,z=0 from (0,4,0) to (4,0,0) evaluate ∫cx+yds

Q: The equation of the tangent line to the curke x? + y = 36, at (6,-16) is %3D y = (x+6) + 16 16 16 16…

A: we have to find the equation of the tangent line to the given curve at (6, -16)

Q: 5) Is the line tangent? 4 В 3 A O NO O No 35=16 No 20=9 O yes 25=25

A: Use pythogorous theorem.

Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

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Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

Q: Construct a line perpendicular to the line given through the point P at the right.

A: To plot the line perpendicular to the given line through the point P

Q: Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 3…

A: Given : a=3, b=4  and c=7 Let BP=x . So , PA= 4-x

Q: Determine if the AB is a tangent line or not. 8/3 cm B 8 сcm F Yes or No Yes O No

A: the solution is given below

Q: 2.) What is line QP called? * U R. V S T Secant Tangent O Slicer Chord

A: In circle, all the point are at the same distance from the center.

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

Q: Evaluate the line integral 2ydx + 5xdy where C is the straight line path from (1, 2) to (6, 5). Г…

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Q: Assume that lines which appear to be tangent are tangent. Solve for the unknown side. 10. 11. 12 16…

A: We have to find the missing length of triangle.

Q: Demonstrate that the circles (x – 2)? + y² = 2 and x? + (y – 2)2 = 2 share tangent at point (1, 1),…

A: Here we will apply the concept of finding the equation of tangent to the two circles at point (1,1).

Q: Find the path of the sloping path y = x² + c such that θ = π / 4 is the angle between the tangents…

A: Slope = 1  Point are (a,b) So equation of tangent      Y-b = 1.(x-a)

Q: 1. (x² +y² +z?) ds , where Cis straight line from (1,2,3) to (4,1,4).

A:

Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

Q: Determine if line AB is tangent to the circle. 16 12 Tangent O Not Tangent

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Q: B. Find the line through the point p(1,4) with an inclination V3

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Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5

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Q: Find the acute angles between the intersecting lines x = t, y = 2t, z = -t and x = 1 - t, y = 5 + t,…

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Q: 9) 8. 17 Find the measure of the line tangent.

A: Given figure is intersecting secant.

Q: Suppose the angle formed by the line y = 4x and the positive x-axis is 0. Find the tangent of 0. %3D…

A: The objective of the question is to find the tangent of angle that is formed by the line y=4x and x…

Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: 14. Determine y = 3x EDI DITED Ee, if any, the tangent line t EDBYS BY JO JOHN OHN GI) = 2x³ – NGIL…

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle ?? (Assume a = 2…

A: Let the distance of point P from point A on line segment AB be x and let the angle opposite side a…

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e2z dz =

A: we have to find integration

Q: Suppose the angle formed by the line y = 8x and the positive x-axis is 0. Find the tangent of 0. >…

A:

Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

Q: is the condition such that the straight lines joining the origin to the other two points of…

A: Given: Curves equation   ax2+2hxy+by2+2gx=0a'x2+2h'xy+b'y2+2g'x=0

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

Q: Find the segment length indicated. Assume that lines that appear to be tangent are tangent. ? 11.2…

A: We solve this question using basic geometry. Analyze what is given and what has to be found. We will…

Q: 4. Assume the lines that appear to be tangent are tangent. If m/P=14°, find the value of x. P

A: Tangent line makes right angle

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

Q: (is)Find the eguakion af the line tangent to y=ro* át (!,10')

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Q: What is the sum of the abscissas of the points where the tangents of the y=(1/3) x^3-(3/2) x^2 – 2x…

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Q: What is the measure of BCD AB is tangent to C at point B AD is tangent to C at point D

A: Find angle BCD=?

Q: Find a distance from the point S(1,1,5) to the line x=1+t, y=3-t,and z= 2t

A: We need to find the distance of the point (1,1,5) and the given line.

Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

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Q: In the diagram below, XY is tangent to OCat point P. What is m2CPX? Explain.

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Q: 1, Tell whether AB is tangent to arcie C. 20 16 8.

A: We have the given circle C. The length of AB=16 units. The length of AC=8 units. The length of BC=20…

Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

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Q: 17. The tangent of the acute angle between the lines y = 4x – 3 and y = x – 2,is D

A: