For 16 years-old young
1st Bimester - TRIGONOMETRY AND PROGRESSIONS
- Let be sinx=3/7, x�R, p/2�x<p, achieve cosx, secx, cscx and tanx.
- Achieve tan2x, 0�x<p/2, having sinx=�2/3.
- Let be the function f(x)=2sin(3x/2). Obtain the period p, the domain D and the image-set Im.
- Achieve the sum of the first 12 terms of the Arithmetic Progression (99, 95, 91, ...).
- Knowing the Geometric Progression (36, 12, 4, ...), obtain the eighth term and the sum of the infinite terms.
- How many numbers can be represented into a byte? (a byte is compounded by 8 positions, each one containing the values 0 or 1.)
- In a race 7 horses are running. How many are the possibilities for the classified in the three first position?
- Solve the equation: C20,2x+3=C20,x+5.
- Develop the expression: (2x-3)6.
- Into an urn there are five blue and four red balls. One draws two balls without reposition. Compute the probability for the first one is blue and the second is red.
- Obtain the array A3x2 of elements aij=i2-j.
- Consider the following array A. Calcul the products A2 and AxAt (At: transposed of A).
- Solve the unequality:
- Find two distinct solutions for the lineal equation 3x-2y+z = 4.
- Solve the following system of lineal equations:
- A convex polyhedron has 16 faces and 28 edges. How many vertexes has this polyhedron?
- Calculate the sum of all the angles in the faces of the Plato's hexahedron (cube).
- Achieve the diagonal and the total area of the right-rectangle prisma with dimensions 8 cm, 9 cm and 10 cm.
- Compute the volume and the lateral area of the right cilinder and cone with circular base of ray 12 cm and height 20 cm.
- Obtain the area and the volume of the sphere which has ray 18 cm.
