naractel istic Formula? ︼ther Prove informally That the area of a parallelogram is A = bh....
15. The area of a parallelogram is given by the formula A = bh. The area of the parallelogram on the right is 66 sq. units. Find its base and height. 2x+1 The base of the parallelogram is units. (Type an integer or a simplified fraction.) The height of the parallelogram is units. (Type an integer or a simplified fraction.)
5. Use the approach of Cavalieri to prove the formula of Archimedes for the volume of the sphere: show that the area of the section of the sphere 2,2 +y2 +za_ r2 by the plane y = c,-1 c 1, is equal to the area of the section of the cylinder 22 outside of the cone2+222 and use the formula for the volume of the cone.
Find the area of the parallelogram with vertices at A=(4,1, -1), B = (5, -6, -3), C = (-1, 2, –5), and D= (0, -5, -7). a) "V971 ob) 27/563 V 1595 od) " 3/59 e) <> 4V131
The area of the parallelogram determined by u= –2i – 3k and v = -2; + 3k is Select one: A. 788 2 B. 88 O C. -61 + 6j + 4k O D. None of these answers E. 4.
Prove that the surface area of a sphere is V = 4*pi*a^2 using parametric equations. Then re-prove it using polar equations. Only use one integral for polar please.
1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D), in u and v. Find the area of T(D) and (Area of D (Area of T(D)). Also find the Jacobian of the transformation. e) Evaluate JI (4x -3y)sec (4x +3y)dA 1. a) Find the area of the region D which is the parallelogram with vertices 00), 0, 2.2) b) Transform D to a rectangle, T(D),...
a. Solve for t in the formula s-1/2 (v,+v )t. b. Solve for V f in the formula s = 1 /2 (y, + v C. The formula for the area of a triangle is A- 1/2 bh. If b-3.12 m and A 82.6 m find h. d. A cone has a volume of 315 cm and a radius of 7.50 cm. What is its height?
Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8,-8,5), C(10, -5, -2), D(3, 4, -4)
Question 2 Find the area of the parallelogram formed by the vectors: U<-44-2> and v<6,7,-2> Round your answer to 2 decimal places and do not type the unit. Question 3 x = - +1 Find the intersection point of the line ( y = 4t - 3 and the plane 4x + y = Z + 2 = 0. z=t-1 The value of t that corresponds to the intersection point is: ti The intersection point is Al
Find the area of the parallelogram with vertices A(-3, 3), B(-1, If a = (2, -1, 4) and b = (7, 2, 1), find the following. a xb = b x a = Find the cross product a x b. a = i+ 2j - 4k, b = -i + 5k