Find the points on the curve x = £² – 4t − 6, y = t² + 10€ that have: : A. a horizontal tangent line B. a vertical tangent line

Q: Find the distance of the point P = (4,8) from the line l: y 1 ==x+2.

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Q: 11) through: (4, –3), parallel to y =-r-5

A: The explanation of solution as follows:

Q: Find Which the the Vectos value of h or nearly are dependent 3. - 1 3.

A: To Determine: find the value of h for which the vectors are linearly dependent  Given: we have three…

Q: 14) through: (1, 3), perp. to y = x + 4

A: see 2nd step for complete answer.

Q: Consider the function y=x6−2. Do the following steps: 1) Find the tangent line at x=1 2) Find the…

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Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: What is the slope of the line tangent to the curve x² + y2 = 1 and parallel to the line y = - 2 ?…

A: Given query is to find the slope of the tangent line.

Q: A. Find the shortest distance between the point A (3, 10) and the line y=x+1.

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Q: Find the distance between the lines: r = + t r; = + s

A: Given: r1→=1,1,0+t1,6,2 and r2→=1,5,-2+s2,15,6 where a1=1,1,0 , a2=1,5,-2,b1=1,6,2, and b2=2,15,6 To…

Q: Solve the problem. Find an equation of the tangent to the curve f(x) = x + 10 that has slope Select…

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Q: Calculate the distance between the following lines.

A: Arrange the given lines in standard Cartesian form.

Q: What is the slope of the line tangent to the graph of y = B 11 4 13 دن در 4 12 x+3 at x = 1 ?

A: The slope of a tangent line to the curve y=f(x) at x=a is given bym=f'(a)

Q: A. Find the shortest distance between the point A (3, 10) and the line y = x +1.

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Q: 8c. Graph the line y = x +3 for -8 < x < 6 and then use geometry to calculate + 3) dr.

A: Answer is 35. Solution is given below....

Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

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Q: Find the distance from point A = (4, 7, 9) to the following line:

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: where the slopes of H the curve re2+1 are h

A: Introduction: Let us suppose that y=f(x) is a curve, then the points where the slope of the tangent…

Q: 5. Show that the sum of the intercepts of the tangent to the parabola (Art. 129), x+y=a¹, is equal…

A: We need to prove given theorem.

Q: Is the line y = −4x + 4/5 parallel to the line y = 4x + 5 ?

A: We compare y = −4x + 4/5 with y=mx+bSo, m= -4