U(9) has how many elements?

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: 13 fx. Sfr Vx? +ydydx 0 0

A: Integration

Q: 1. Show that 12r2 24.x 'ear dr = ea a a² a³

A: To solve the integral, the formula of the "by parts of integration" will be used, that is,∫u v dx =…

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: Solve for a in

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A:

Q: How many elements are in Z5[i]/<1 + i>?

A: Given Data The expression is Z5[i]/<1+i>.   Consider the Z5[i]/<1+i> in the form of…

Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: ZA is complementary to ZB and ZB is 8. Suppose

A: If two angles are complementary then they makes to 90°. If two angles are supplementary then they…

Q: flt) = Ualt) U, It) (t -3)2 + o uslt) sinzlt-s)

A:

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

A:

Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A:

Q: If the coefficient of determination between two independent variables is 0.14​, what is the​ VIF?

A:

Q: Compute the quantity. 5 (ww) w, using w= -2 W W -6

A: Given: w=5-2-6 To find: 1w·ww   Dot product of two vectors u=u1,u2,u3 and v=v1,v2,v3 is given by…

Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: re 'C' is z-

A:

Q: Suppose z 2- 3i and w = - 5i. Find: W-Z ?

A:

Q: Suppose z = 5 + -2i and w -5+ -4i. Then Im(zw) =?

A:

Q: If X is a positive number such that : X² – 10X = 9VX Then X – VX = ?

A: given:x2-10x=9xsquaring both the sides:x4-20x3+100x2=81xwe get x=0, x=1, x=19±372.but for the…

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

A:

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

A:

Q: (-1+ jv3 )i

A: We will solve this using Polar form, De Moivre's theorem and n th root of complex number

Q: C) = ("; ')-(,",) n Q1. Show that : r

A: R.H.S;=n+1r-nr-1=(n+1)!r! (n+1-r)!-n!(r-1)! (n-r+1)!=1 (n+1-r)!(n+1) n!r(r-1)!-n!(r-1)!=n!…

Q: v at a = -11 since,

A: We have to choose the correct option according to the given condition

Q: Compute: (i-2) (i+2) Answer: 2.

A: Solution: The objective is to compute the given equation

Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: What is the coefficient of x^12.y^13 in expansion (x+yY 25

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: If the coefficient of determination between two independent variables is 0.23​, what is the​ VIF?

A:

Q: in tions Practice - Add Su 3. 3D 5.

A:

Q: Compute ƒx and ƒy for ƒ(x, y) = 2xy.

A: the given function is: fx,y=2xy we have to find the value of fx and fy

Q: dx Evaluate S o 9x2+4

A: Solution is given below:

Q: Show that if A? = I, then |A| = ±1

A:

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: A = p + prt for r ( banking)

A:

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: How do you prove this?

A: Solution is in step 2

Q: 9. If VW = 9x- 11 and SU 16x - 12, find WT. S. 人

A: We are solving the first question and for the next question post the questioon again and alsomention…

Q: 9(x, у) %3D In(x3 + y) a²g дх ду

A:

Q: 1. аєL; VxeL xb,ха,bx€L 5. ає L; VxєL xb,ах,bx€L 5. ає L; Wx€L xb,xbaєL

A:

Q: D. Let Find 2,-

A: We will find out the required value.

Q: The number of units in Z29[x] is

A: Solution by using definition of unit elements

Q: Express 3x, xπ, and xsin x using the base e.

A: Our Aim is to express the following function using the base e given below:-(i) 3x(ii) xπ(iii) xsin x

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A:

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.