Find the exact length of the curve y=ln⁡(sec⁡x ), 3≤x≤

Q: The slope of the line that passing through the points P(1,6) and Q(7,9) is O -2 2

A: the line passes through P(1,6) and Q(7,9).

Q: Find the length of the curve. x = y^2/3, 1 … y … 8

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Q: Which 2 points are on the line (x.y) = (-1,4) + k(7,1). kER Select one: O -1,4), (7, 1) O (-8, 3),…

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Q: What is the length of the line segment? A(-3,4) -5 4 -3 -2 -1 2 3 4 5 -2 -3 B(2,-3) O 5 O V74 O 7 O…

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Q: Find the midpoint of the line segment joining the points P1 and P2.   P1=(d,n) P2=(0,0)…

A: Given:- points are P1 =(d,n) P2 =(0,0)  To find:- Mid point of line segment joining by points P1 and…

Q: The isocost line of the smallest value is the line (1,3) 3, 3) (5,0) 이 (1.0, -2 O 15 O-3 0 3

A: To find the is cost line of the smallest value is the line with z:

Q: Find the length of the path over the given interval. (3 + 2t, 8 + 8t), 1st< 10

A: Given data: Let,

Q: Given the trapezoid with a median drawn. 12 4x Find x. 8 21 X =

A: We will use property of median to find the value of x.

Q: What is the length of the line with slope 4/3, from the point (5,4) to the y- axis? O 24/3 O 23/3 O…

A: The slope of the line is given by m = 43 The coordinate of a point on the curve is x2, y2 = 5, 4 To…

Q: The midpoint of the line segment from P1 to P2 is (−1,2). If P1=(−7,9)​, what is P2?

A:

Q: Suppose the professor wants the scores to be curved in a way that results in the following: Top 10%…

A: Given: Top 10% of scores receive an A Bottom 10% of scores receive an F Scores between the 70th and…

Q: The midpoint of the line segment from P1to P2is (5.-4) .If P2=(7,-2)what is P1.

A: Explanation: Given that,Midpoint (5,-4)One of the endpoint P2(7,-2)     Formula Used: Midpoint…

Q: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and…

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Q: Find the length of the curve y=x^5/6+1/10x^3, 2<x<4

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Q: Is there a straight line that passes through the points? P; (2,0,1), P2(3,–2,0), P3(1,2,2)

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Q: Find the midpoint of the segment PQ. (а) Р(3, 7), Q(5, 13) (b) Р(-2, 3), Q(8, —7)

A:

Q: What is 8,9 reflected over y-axis

A: The point (8,9) is shown in the graph,

Q: Find the value of a  the line through (-2,3) and (8,5) is perpendicular to y=ax+2

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Q: Find the length of the curve: r = 4cos³(0/3),0 < 0 < ? 2

A:

Q: points

A: Please refer to the image below

Q: The midpoint of the line segment from P, to P2 is (-5,9). If P, = (-7,9), what i= P2 =(Type an…

A: Given query is to find the indicated pint p2 .

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? OA ya-s 3 y =…

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Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

A:

Q: what the points) the tonget line is Perpendicubr to X +y=5 -1 to the grephy=tonc4x

A:

Q: 4. A (-3, 1) 5. P(4,-3) and М(2, 2) Q(-1,4) and

A: The points are:4) A-3, 1 and M2, 25) P4, -3 and Q-1, 4To find the distance between them.

Q: b. For the points C (x – 3,5 – Z)and D (4 – x, -8), find the midpoint if Z is the last digit in your…

A:

Q: Find the shortest distance from the point P = (-5, -2, –3) to a point on the line given by l : (x,…

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Q: Find the length of the median of each trapezoid.

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

Q: If the linear relationship between Y and X is positive (as X increases Y also increases), then there…

A:

Q: Find the distance dP1, P2 between the given points P1 and P2.   P1=(6,3) P2=(−2,4)

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Q: Find the point of inflection of the curve x3 – 6x2 + 2x + 14.   a. (-1,-4) b. (2,2) c. (1,4) d.…

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Q: Find the equation of the straight line passing through the points Q (4, 3) and R (5, 8)

A: Given : the points Q (4, 3) and R (5, 8)To find : the equation of the straight line passing…

Q: Locate the point on the line segment between A(3,-5) and B( 13,-15) given that the point is 4/5 of…

A: This problem is based on the Section formula which is explained in step 2.

Q: Determine the coordinates of the point on the line = (1,-1,2) + s(1, 3, –1) that pro- duces the…

A: To determine the shortest distance and the coordinates of the point on the below line that is…

Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: The slope of the line that passing th the points P(1,6) and Q(7,9) is 1 2 -2

A: Solution of the problem as follows

Q: Use the point on the line and the slope of the line to find three additional polnts that the Iine…

A:

Q: Find the values of y if x=5 and some se of points are (1,4) and (6,9)

A: The value of table for x and y x 1 6 y 4 9

Q: (2) Is there a straight line that passes through the points, if any? * P(1,3,0), P2(0,2, – 1),…

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Q: Find a point which is equidistant from the points A (-5, 4) and B (-1, 6).how many such points are…

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Q: Find a point on the line 3? − ? = 4 that is closest to the point (–2, 3)

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Q: Find the length of the curve x = et - t, y = 4et/2, -8 ≤ t ≤ 3.

A: Consider the following: Given parametric equations are: x=et−ty=4et2−8≤t≤3

Q: Find the midpoint between two points (2,4) and (8,12) a. 2,4           b. 7,3…

A: GIVEN: Two points are given (2, 4) and (8, 12)

Q: What type of lines you have in each triangle and EXPLAIN! how do you know? What is the name of the…

A:

Q: Determine the coordinates of the point on the line 7 = (1, –1,2) + s(1,3, –1) that pro- duces the…

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Q: 4. Which of the points below is the midpoint of the given line segment? (-3, 6) (3, -2) O (0, 2) O…

A: Use the formula for the mid point of a line segment.

Q: Which point is further from point P( 4, 5):     K( -3, 1)  or  N( 8, 7) ?

A: Given pointsP(4,5)K(-3,1)N(8,7)

Q: 3 2 from Find the length of the curve a = 24 19 , 4) the point (, 2) to the point

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.