Replace the polar equation r= - 4 sec 0 with an equivalent Cartesian equation. Then identify the graph. The equivalent Cartesian equation is

Q: Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added…

A: The resultant vector is given by,

Q: In the shown figure, the length of the side of the square is 20, if q=Q is placed at point "1", the…

A:

Q: Make a graph of the following data. Add the best fitting straight line to your graph (the regression…

A: Velocity versus time data is given for an object in motion : t(s) 1.50 2.00 2.50 3.00 3.50 4.00…

Q: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

A:

Q: The curve has an equation of y = √2x. What is the radius of gyration with respect to the y-axis?

A: Given that: y = √2x To determine the radius of gyration with respect to y axis.

Q: Consider the curve described by the parametric equations E = 2 cos t, y = 3 sin t For which value of…

A:

Q: Solve the quadratic equation 5.00t2 − 4.00t − 6.00 = 0 using the quadratic formula, finding both…

A: General form of quadratic equation is,

Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Calculate the angle between the vectors: Ã= 6.11-3.0j-6.8k and B = 8.3i+2.9j-6.7k. %3D

A:

Q: What are the indices of the four directions of the form that lie in the (101) plane of a cubic…

A: Solution:- Given that,  The form of <111> that lies in the plane of a cubic cell so that,  A…

Q: Calculate the areas of the following surfaces using the differential surface area dS p=2,0 ≤z≤ 5,…

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Q: 45° 45°

A:

Q: Write the following x2+y2=16 in polar form.

A: The given expression can be written as below,

Q: 4. (20%, ABET-e). Determine the coordinates of the centroid of the area by direct integration.…

A:

Q: Consider the area of a quadrilateral formed by two vectors C and D. The area A of the parallelogram…

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Q: find the cartesian coordinates corresponding to (r, theta)= (4.00m, 53.0degrees)

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Q: 3 = 37 + 4ĵ +5k and M = 31 +4ĵ +5k js; The angle made by the two vectors

A:

Q: Compute for the y-component of 25.0174-unit vector directed 214.6415 degrees with respect to the…

A: Given  The unit vector is given as r=25.0174 Direction of the vector with respect to positive x axis…

Q: Calculate the fill factor for a stacked hexagon (hcp)

A: In this question we have to calculate the fill factor for a stacked hexagon.

Q: in plane polar 3. The point (1,1) in rectangular coordinates is equivalent to coordinates.…

A:

Q: Given the following integral SV2-25 ox Determine the Trigonometric Substitution formulas that need…

A: The given integral is: I=∫x2-25dx Trigonometric relation used is: tan2x+sec2y=1 The given integral…

Q: The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3.…

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Q: what is the electric charge for +1nC?

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Q: Consider a triangle ABC with sides AB = 14.9 cm and BC = 9.7 cm. Angle ABC is 38.4 degrees. What is…

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Q: Find the simplest SI unit of z, if Z = Fr³r? m³v²

A: Write the given values of this problem.  Let, F=force (kg.m/s2)r=radius mt=time secm=mass…

Q: Compute the components of the centroid of the composite area shown. ẍ = _______ ȳ = _______

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Q: 19. In the diagram the correctly marked angles are Zi and zr Zrand ze a. b. Li and 2 e Zi, zr and 2…

A: Given, Angle i,r, and e in the diagram As we know that all angles measured from the normal line. so,…

Q: A certain comer of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: Estimate the first derivative of 4 3 2 f(x) =-0,1x°-0,2x*-0,3x°-0,25x- 0,5x+1 %3D

A: The first derivative of a dependent function with respect to the dependent variable is given as:…

Q: .Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 3i…

A:

Q: Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as…

A: Centre of mass of a body is defined as a point where the total mass of the body can be considered to…

Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: a) Given data  The coordinates of point A is given as, x1,y1=3.50,-5 m The coordinates of the point…

Q: e matrix equations A 7] -2 tion is:

A:

Q: Draw the s-t and a-t graphs if s =0 when t=0. v (m/s) b = 21 4 (s) 2.

A: The expression for the displacement can be written as Δs=∫vdts-s0=∫vdt…

Q: Solve the quadratic equation  3.00t2 − 4.00t − 6.00 = 0  using the quadratic formula, finding both…

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Q: 15 22 3 36 17 (2) 60 65 ref

A: To find the vertical component of the centroid of the given figure we divide the shape into 3 parts…

Q: If you project a tennis ball at speed v0 on a horizontal surface, what must the angle of the…

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Q: Compute for the y-component of 61.9143-unit vector directed 215.7319 degrees with respect to the…

A:

Q: If the direction E in space 1 is given as shown below and the magnitude E, = 5 volt. Find E, in…

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Q: (a) an axis through O perpendicular to the page and (b) an axis through C perpendicular to the page.

A: we know that torque about a point = r x f  where r = perpendicular distance from line of action of…

Q: Solve this integral for when cis a perfect sphere .Hint : E becomes parallel to ds and you can take…

A: The integral equation of Gauss's law is ε0∫sE ·→ds→=∫vρ dv

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…

Q: In a face centered cubic cell, an atom at the face contributes to the unit cell ----- ---

A: Given that:- Face centred cubic cell is given in the question.

Q: What direction does the vector L point in for a plane rotating?

A: To determine: The direction of the vector angular momentum 'L' that is pointing in a rotating plane

Q: What is the  angle of the 10X force?

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.