Σ 21.35 =73.74° 1/2=36 87° 36.87° LC R=215m

Q: Classify the following DE as Linear or Non-linear. d²y + 5 dx2 1. dy + бу 3D 0 || dx 2. d*y + x2 d³y…

A: To classify the given differential equations (DE) as Linear or Non-Linear.   Given: 1.…

Q: Q1/ Find the slope of the line : 3x + 4y = 12. x+3= the slope is y=- m=--

A: Given: The equation of line is, 3x+4y=12 The slope of the line is to be determined.

Q: AB and CB are tangents. If y 137.20 mm and ZABC 67.0°, find: a) 21 -y 21 b) x C

A: Step 1

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A:

Q: Consider the line y 6. = -- r Find the equation of the line that is parallel to this line and passes…

A: Slopes of parallel line are equal. The product of Slopes of perpendicular lines are equal to "-1"

Q: Let f(x, y) = x3 + y3 – 9xy + 27 , then (3,3) is saddle point. True False

A: We have, f(x,y)=x3+y3-9xy+27

Q: Express the force F shown  as a Cartesian vector.

A: Consider the free body diagram shown below. The given data is, Consider the triangle shown below.…

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Q: Exercise 1 A simple contour that is not closed can cross itself , O False O True

A: Contour: It is the line joining points of equal elevation on the surface of earth. characteristics…

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Q: A line passes through the point (-10, 1) and has a slope of 21 Write an equation in slope-intercept…

A: Given:- point is (-10,1) and slope is 1/2

Q: A line passes through the point (9,-9) and has a slope of 3. Write an equation in slope-intercept…

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Q: The coefficient of uniformity and coefficient of curvature resepectively are: Given D60 = 0.22 mm,…

A:

Q: Q5: Find the area of region enclosed by the polar function r = 4 – 4 cos 0

A: Given:- The polar function is given with equation  'r = 4 - 4 cos θ To determine:- The area of the…

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A: Parellel axis theoremThe parallel axis theorem relates the moment of inertia of a rigid body about…

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A:

Q: In prismoidal rule, it is necessary to have odd number cross sections. * True False

A: Given that: Prismoidal rule

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A: Given data in question  Beam Point load Internal hinge To find out  Draw deflection curve.

Q: Find the centroid of the region bounded by the curve y? 12x and the line x = 5.

A:

Q: Find the distance d between the points (1,3) and (5,6).

A: A line is a linear geometry connecting any two points x and y.  The distance point between any two…

Q: Find the centroidal coordinates of an area bounded by the following curves: y = 4 x = 20 y² = 4x

A: solution of above problem is below:

Q: 5 B) Find y" for the function y =x + Vx at p(1,3)

A:

Q: x² + y2 + z? = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the…

A:

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A: e q. 1 y = - 3x + 1 and eq. 2 y= -1/3x + 1 slope of equation 1 = m1 = -3 slope of equation 2 = m2 =…

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A:

Q: Figure, Y-axis 1cm Icm R=2cin C.9 X-axis

A:

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A:

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A:

Q: 3 A line passes through the point (-4, – 2) and has a slope of 2 Write an equation in…

A:

Q: Determine the area enclosed by y = 3x - 2, the x-axis and ordinates x=2 and x=4

A: y= 3*2-2= 4 y= 3*4-2= 10 x= 2  x=4 Area enclosed by the graph = (4-2)*(10-4)= 12 sq units

Q: Find the moment of inertia with respect to the line x=2a the area bounded  by (see image

A: To find moment of inertia about x axis

Q: Find the centroidal coordinates of an area bounded by the following curves: y = 4 X = 20 y² = 4x

A: solution of above problem is below:

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A:

Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x

A: Given:- y=c1e-x+c2ex+4x

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A:

Q: What is the slope of the curve y = ((1-2x)^2)/x at (1,-1). * O -2 -3 3

A: To find:-  the slope of the curve y = ((1-2x)^2)/x

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A: Given that: