45) An airplane at T(80, 20) needs to fly to both U(20,60) and V(110, 85). What is the shortest possible distance it can fly to reach both destinations? (Hint: should you fly to U or V first?)

Q: In trapezoid ABCD (not shown), mZA = * + 50, and mZC = + 10, + 50. Find all possible mZB values of…

A:

Q: 5A. In quadrilateral ABCD, ∠B=∠D, ∠B= (2x+5)°, ∠A=3x and x=35°, prove that ABCD is a parallelogram.

A: We need to prove that ABCD is parallelogram.

Q: Find the length of the path over the given interval.(1 + 2t, 2 + 4t), 1 ≤ t ≤ 4

A: The given curve is rt=1+2t, 2+4t,   1≤t≤4. It derivative is r't=2, 4. It is known that the length of…

Q: In rhombus R S T V RSTV, R S = 4 x − 2 RS=4x−2 and S T = 3 x + 3 ST=3x+3. Find the length of T V ‾…

A: The given dimensions of rhombus  RS=4x−2 ST=3x+3

Q: Answer the following muitiple-charce algebora awestion below if A is a 3x3 triangular matrx with…

A: Let the matrix be A= 2ab03c004 where a ,b, c are any real numbers.…

Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

A:

Q: 3 Determine what kind of quadrilaterál I formed by the following points: S MI-2,-1), L(1,3), T(5,0)…

A: Given

Q: 4. 3 2. 54 3-2 -1 1 2 4. -2 -3 -4 -5 -61 3.

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y? = 16. Vertical cross sections…

A: Given  x2+y2=16y2=16-x2y=16-x2

Q: Calculate the length of the path over the given interval. (4t2, 8t² – 1), 0 <t<4

A:

Q: 2. If AQRS = AXYZ then. QR= RS= LXZY=, State if the trionel

A:

Q: Ć be the Shortest Path that connects t to TTL and I - Je Casah z 4) dZz. Fhen I-o?

A:

Q: What is the length of the graph of y = In(x<+1) - x from x = 0 to x = 3?

A: Given  The graph equation is y=lnx2+1-x  from  x=0 to x= 3 .   Formula :- Arc length of curve…

Q: 1. Given: Quadrilateral WISH is a parallelogram. a. If mzW = x + 15 and mzS = 2x + 5, what is mzW?…

A:

Q: Is it true that if you stretch a rubber band by moving one end to the right and the other to the…

A: Note:  The question can be interpreted by many ways. It can be seen from physics point of view by…

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: 29. In right AABC with right 2C, AB = 17 and BC = Find the length of MN if M and N are the midpoints…

A:

Q: A man in a rowboat at P in Fig. 14-3, 5 mi from the nearest point A on a straight shore, wishes to…

A: Assume x be the distance between the shore and the point at which the man lands. So, to reach point…

Q: 7. Which characteristics will NOT prove that quadrilateral PQRS, drawn in a coordinate plane, is a…

A: Given, Parallelogram PQRS Solution :D  In option D we have given the only  length are equal which…

Q: A man in a rowboat at P.5 miles from the nearest point A on a straight shore. wishes to reach to a…

A: This problem is based on maxima minima function. After getting minima function we got the value of x…

Q: 1. Will the taxicab distance between two points ever be equal to the Euclidean distance between…

A: Taxicab distance between two points ever be equal to the Euclidean distance between them

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: Calculate the length of the path over the given interval. (4t², 8t² – 1), 0 <t< 4 |

A:

Q: In order to complete the square for z 13z, you would add After you add this, the perfect square…

A: A perfect square is of the form x2-2ax+a2 i.e. x-a2

Q: In ABCD, BD is extended through point D to point E, m/BCD = (2r - 1), mZCDE = (7x - 19)°, and MZDBC…

A:

Q: Drive the frenet frame ,curvature and torsion of binomial indicatrix of hypocycloid

A: We need to Derive the frenet frame, curvature and torsion of binomial indicatrix of hypocycloid

Q: Find the orthogonal traiectories ofthe one-narameter fomilyy2 - v2

A:

Q: Use the side-splitter theorem to solve for a in the triangle below. 2 22

A: Given triangle is : To find the value of x

Q: a. A wheelchair ramp with a length of 122 inches has a horizontal distance of120 inches. What is the…

A: Consider x is the vertical distance, and horizontal distance is given 120 inches. and the ramp with…

Q: 13. XPOQY and AOB are straight lines. PO =0Q and 21 = L2. Prove that ZA = ZB. B. A

A: That's easy. Have a great day!!!

Q: A farmer wants to increase the triangular area he has fenced off for his cattle to graze into a…

A:

Q: In AVWX, VX is extended through point X to point Y, mZXVW = (3x + 13)°, mZW XY = (9x – 14)°, and…

A:

Q: (1) If O is not in Quadraut I and Sec e = V2 , find degres.

A:

Q: Use the side-splitter theorem to solve for a in the triangle below. 8 6.

A:

Q: In AQRS, QS is extended through point S to point T, m/QRS = (x + 8)°, mZRST = (4x + 11)°, and mZSQR…

A:

Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: Find a formula for the shortest distance from a point (a,b,c) to the y-axis.

A: We will find the formula as following.

Q: - Make Sense and Persevere Suppose M is a point in the interior of JKL. If mzMKL = 42 and mzJKL =…

A: Here, M is a point interior of ∠JKL. So, m∠JKL=m∠JKM+m∠MKL...(1)

Q: Sketch the solid described by the given inequalities. Oses n/2, r szs4

A: We have given that 0≤θ≤π2 &amp; r≤z≤4

Q: 4. x = In rhombus ABCD, mZA= (2x + 15)° & mZD= (3x – 5)°. Blanks with this answer: T HINT: Draw it…

A: Solve for the value of x

Q: Show that LM = 2AB.

A:

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A:

Q: DETERMINE THE SHORTEST DISTAtNCE FROM THE POINT -1,2) 5x-12y=10, TO THE EQUATION %3D

A:

Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: To Determine: The diagonals of parallelogram WXYZ intersect at D.Which statements must be true?…

Q: The diagonals of square DEFG intersect at point H. What is the measure of ZGHF?

A: The diagonals of a square are perpendicular bisectors of each other. That means, they intersect each…

Q: If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that +…

A:

Q: 23. Find the shortest distance between the following lines. 9 y – 9 - l1 : -14 -1 3 4 y +2 l2: 8. z…

A: Given: The lines are: l1: x-9-14=y-9-1=z3    -1l2: x-48=y+24=z-10  -2 Let P and Q be two points on…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.