Q2: -A meter stick in the x'y' plane makes angles of 45° with the x' and y' axes. O' and the meter stick move away from O in the x direction. According to O, what is the angle that the meter stick makes with the x axis.

Q: Find the length of the segment of the curve y = (1/2) cosh 2x from x = 0 to x = In v5. Simplify your…

A: The length of the curve fx from x=a to x=b is defined by L=∫ab1+f'x2dx. Given fx=y=12cosh2x from x=0…

Q: The distance from (6,-5, 1) to yZ-plane is OA 6 /26 OC 1 O D. 62 OE 5 В.

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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: How to use the trapezoidal rule to approximate distance travel?(with a t of 1min)

A: The trapezoidal rule is used to estimate the area under a curve. The expression for the trapezoidal…

Q: Use the model for projectile motion, assuming there is no air resistance and  g = 32 feet per second…

A: Given Data: The gravitational acceleration is: g = 32 ft/s2 The initial height is: hi = 6 ft The…

Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

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Q: he transformation from Cartesian to plane coordinates in x-direction is given by x=rsine x=rcos20…

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Q: nissile is propelled from the origin of a coordinate system with the x units

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Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

Q: Find the acute angle of intersection of the planes x = 0 and 6x – y+z – 9 = 0 to the nearest degree.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 3. Light of wavelength 575 nm falls on a double-slit and the third order bright fringe is seen at an…

A: Please see the attachment According to the guidelines we are supposed to do one problem

Q: an airplane is moving horizontally at 150 mph over an observer at a height of 4000ft.how fast is the…

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Q: First try was incorrect Find the distance between points X and U. U +++ + -0.5 -0.3 0.5 -0.1 0.1 0.3…

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Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: #4 Find y! of 3-y3+y2+5y-x²=D0.use it to find the eguation of the line that is perpendicular to the…

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Q: 4. y = x2--Inx x = 1 ve x = e

A: Topic- application of derivatives to find angle between curves

Q: distance

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Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: 01: Find the angle () between the tangents lines of the 3 sec 0 and the cardioid r 4(1+ cos 0) at…

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Q: Find the distance between the points (2, -- and (F,5 Distance- Preview(Round your answer to two…

A: Formula for calculating the distance between two points (x1,y1) and (x2,y2) is the squareroot of…

Q: 2. Find the angle of intersection between the following pairs of curve. Express your answers in…

A: We know that; The expression for the angle of the intersection between the two curves is:…

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: A ski run follows the curve of y = 0.01x - 0.6x + 9 from x = 0 m to x = 30 m What is the angle…

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Q: Q2: A-The Trapezoidal rule for roodx 5 and Midpoint rule /)dx=4 What value does . Simpsons rule give…

A: 1st we will find relation between trapizoidal , mid point and simpson rule . Then will use this…

Q: I. Determine la ecuación del plano tangente a la superficie dada en el punto especificado 1. z = 4x2…

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Q: Find the acute angle between the planes x = 7 and x + y + sqrt(2)z =-3.

A: We know that cosine of angle between plane a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 is given by

Q: y = VT, y = 2 - x and r O about the x-axis?

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Q: The temperature at the point (x, y) on a metal plate is x² + y? " Find the direction of greatest…

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Q: 2) Find the length of the spiral: r = 0² from 0 = 0 to 0 = V5?

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Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

Q: Find the acute angle between the planes x = 7 and x + y + √2z = -3.

A: Acute angle between two planes a1x+b1y+c1z+d1=0 and a2x+b2y+c2z+d2=0 is,…

Q: The force on a particle is described by 6x3 + 1 at a point x along the r-axis. What is the work done…

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Q: c. Based on the orientation of your rectangle would we integrate with respect to x or y? С.

A: Follow the procedure given below.

Q: a quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25. the height…

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Q: Find the tangent plane to the equation z - 3x? – – 108) 4y? + y at the point (5, 3, z =

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Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

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Q: Find the distance from the point (0,8,9) to the plane – 2y + 3z = 11.

A: In this question, we will find the distance from the given point to the given plane.

Q: An automobile, traveling at a constant rate, starts at home at ime t = 0 and ends up 10 hours later…

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Q: Symmetric with respect to the y-axis yA 1 1+ x?

A: Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the…

Q: Two planes left the Washington Dulles Airport at the same time. Plane A travels at 570 mph at a…

A: Here we solve the given problem of trigonometry.

Q: New Challenger. 8T Find the angle coterminal to. if you travel around the xy-axis in the negative…

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Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: A roller-coaster car moves 200ft horizontally and then rises 135ft at ang angle of 30° sbove the…

A: Draw he graph according to given information, which is given below. Draw it out on a coordinate…

Q: oves from origin at the curved Path -³x) m

A: Concept used: Velocity is the derivative of position with respect to time. Acceleration is…

Q: The Strawhat pirates were running simultaneously at a constant speed of 30km/hr due north of their…

A: The rate of change of value can be calculated using the derivatives. The change in the value of x is…

Q: 23/ Find the angle between two curves: 3 y = 2 - x² , y = x²

A: The angle between two curves is given by the formula tan θ=f2'x0-f1'x01+f1'x0f2'x0 Given,…

Q: .Angles measured counterclockwise from the positive x-axis are assigned positive measures.True or…

A: Angles measured counterclockwise from the positive x-axis are assigned positive measures. True or…

Q: What is XY for triangle XYZ ?

A: Solution:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.