QI Let A = 2 233 4 475 %3D (4) Find all salutions to Ax=0. Put your answer in Vector Parametric form. -> (b) Find all 5= () Jour answer in vector Parametriz form. for which Ax =b is consistant.Put %3D %3D

Q: Define Orthogonality Relations sine-sine?

A: We have to Define the Orthogonality relations for sine.

Q: (3+j5)^4/ (2+j6)^3 answer in polar form

A: first we need to obtain the standard cartesian form z = a+jb of given complex number then we will…

Q: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

Q: flxy)=e* fleyl-e siny = é^ Find the directional derivofive in the direction of the vector that +60°…

A:

Q: Rectangular and Polar Form of e(5-j5)^(12.44-j8.39)

A: Given expression is: e(5-j5)(12.44-j8.39)  We have to find its rectangular and polar Form.

Q: whats a parametric test?

A: Parameter test: Parameter test is used when the data follows normal distribution. Also when the data…

Q: A bullet fired from a gun follows the trajectory x = at, y = bt – 16t2 (a, b > 0) Show that the…

A:

Q: sin30dß-4cos2ßde = 0

A: Using separation of variables, we solve                             sin(3θ)dβ-4cos(2β)dθ=0

Q: Why is the Chi-square test considered both a parametric as well a non-parametric test?

A: Solution-: Why is the Chi-square test considered both a parametric as well a non-parametric test?

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at point (2,…

A: y=x2 at point (2,4) We need to find the unit vectors that are parallel to the tangent line to the…

Q: integsate Sinedx

A: We use the expansion formula of sinx then integrate as in next step.

Q: The displacement of an object is given by the parametic equations:  x=0.2t^2+2t and y= -0.4t^3…

A: The displacement of object is given as, x = 0.2 t2+2t   andy = -0.4 t3   we need to find the…

Q: Use the Quadrature Rule Calculate I = S e2x dx using the 3-point Gaussian Quadrature method.

A: Given integral is I=∫03e2xdx

Q: show its 3d version using geogebra

A: We have the unit vector asa^=2299152, -9, -72The 3D figure of the unit vector in Geogebra is as…

Q: Evaluate tanh^2 (4-4i) sech (2+2i). Express your answer in rectangular form in 4 decimal places.

A:

Q: Write cartesian equation x^2-y^2=1 in polar form

A: Given,

Q: Find the parametric equation to describe the following curve: b) the part of x = 2y^2 - 1 from…

A:

Q: he equation of a clove ret :0 a given sustem of axes is 3X^2+2xy+3y^2=10 ind its equation if the…

A: With the given notation , we have    x=x'cos45-y'sin45=x'-y'2and  y=x'sin45+y'cos45=x'+y'2

Q: 9.) The x and Coordinates ofa moving Perticde are gluen by the Parametric equations below. find the…

A:

Q: How might the parametrized curve differ from the graph of its Cartesian equation?

A: Graph: In Cartesian equation you represent curve as a direct relationship between x, y coordinates.…

Q: fox)%= draw its cuve of function. by examíning the change sinx Secon

A: When the denominator is 0, the value of function approaches to infinity. Therefore, for the very low…

Q: Find the length of the curve whose parametric equations are x = 3t^2 and 3t^3, from t = 0 andt = y =…

A:

Q: Transform axis inclined 30° to the original axis, the equation is x^2+2√3 xy-y^2=2a^2

A: The given equation is: x2+23xy-y2=2a2                      (1)

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.