Algebra question and answers for October 16, 2023
- Q Find the exact value of each of the following using the special triangles, the unit circle, or both. In each case, state the reference angle and the quadrant in which...
- Q Simplify the following;15-(12-2*5)+9
- Q 5. Find the distance between Las Vegas (36 N, 115 W) and Paris, France (49 N, 2 E). Use R 6366 km.=
- Q Use the table to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation.35x-47x +13x-1=0X...
- Q An investor wants to analyze the earnings of a mutual fund account. Seven years ago, the value of the account was $22,000 and it is now worth $27,500 (no additional...
- Q Suppose that A, B, and C are 5 x 5, 5 x 4, and 4x 6 matrices, respectively.Determine which of the following products are defined.(a) BA. Answer: ________(b) BC...
- Q Given p= < 7,2> and < 8, 9>, find p v|and|p |v|p-v|=___p|-|v|=___
- Q Simplify the following expression. (4+2i)/(1+i)
- Q Simplify the following expression. (1-3?-4) (2+??9)
- Q Solve the equation by completing the square.2a +24a= -78a= ________(Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma...
- Q Evaluate the line integral ?c F.dr. where F(x, y, z) = sin zi + 2 cos yj + 4zzk and C is given by the vector function r(t) = t?i-t?j+tk....
- Q Simplify. (b.b?/ c.c)?
- Q A plane is defined by the equation x = 0.a. What is a normal vector to this plane?b. Explain how you know that this plane passes through the origin.c. Write...
- Q Find the exact value.# 44 cos (165)a) Write the given angle 165 as a sum of two special angles that are less than ?Enter the combination with the smallest angle...
- Q NOTE: The picture is NOT drawn to scale.Ancient alien theorists manning two radar stations located b = 71 km apart both detect a UFO located between them. The angle of...
- Q I= ?? In(Inx)/1+2xcos?+xdx Malmsten IntegralThis might be one of the coolest integrals in calculus, it shows the beauty ofmathematicsI= ?? In(Inx)/1+2xcos?+xdx where-?<?<n
- Q Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed by the hyperboloid z = ?1+x/2+y/2 and under the plane z = 5.
- Q Find the standard matrix for the linear transformation T: R->R that rotates points about the origin ?/6 by radians and then dilates points horizontally by a factor of 25/22.
- Q Perform the operation. Write your answer in terms of i. (7+2i) -(6-i)-(3-4i)Provide your answer below:
- Q Determine the surface area of the portion of 4x+3y + 5z = 8 that is inside the cylinder x + y = 49.
- Q Aidan received a 70-day promissory note with a simple interest rate at 4.0 % per annum and a maturity value of RM17,670. After he kept the note for 40 days,...
- Q Find the least squares best fit quadratic function y = f(x) = ax+bx+c to match the given 4 data points:(x, y) ? {(0,0), (0, 1), (1, 1), (-1, 2)}
- Q What is the sum of the coordinates of the point obtained by first reflection (8,8) over the line x = 3, and then reflecting that point over the line y...
- Q Determine the surface area of the portion of the sphere of radius 4 that is inside the cylinder x+y=3.
- Q Suppose that an instructor uses four grades to determine a student's course average: a quiz ,an assignment, a mid-trim exam and a final exam. These are weighted as 5%, 15%,...
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