calculus
posted by gen .
if y1=x^2+3x1 and y2=x5,
find: a. y1+y2
b. y1y2
c. y1(y2)

y1 = x^2 + 3x  1
y2 = x  5
for y1  y2, combine similar terms,, for terms with same variables, add their numerical coefficients (number before the variable) and copy the variable:
x^2 + 3x  1 (x  5)
x^2 + 3x  1  x + 5
x^2 + 3x  x  1 + 5 *i just rearrange the terms*
x^2 + 2x + 4
for y1(y2), distribute each term:
(x^2 + 3x  1)(x  5)
to distribute, multiply x^2 by x plus x^2 times 5, plus 3x times x plus 3x times 5, and so on:
(x^2)*x + (5)x^2 + 3x^2  15x  x + 5
now simplify this by combining similar terms. 
Alright. a. y1+y2 should be set up as follows:
(x^2+3x1)+(x5), which equates to
x^2+4x6
You just combine the like terms.
b. (x^2+3x1)(x5)
For this one you need to distribute the negative, to get x^2+3x1x+5, then combine like terms.
c. (x5)(x^2+3x1)= x^3+3x^2x5x^215x+5. Combine like terms.
Respond to this Question
Similar Questions

PreCalculus/Calculus
I am too embarassed to ask this Calculus (really precalculus) question in tutoring, because I know I should know. Is the inverse of f(x)=3x1 actually f(x)=1/3x+1? 
Math:Calculus
Use the Fundamental Theorem of Calculus to find the derivative of g(x)=1/(1+t^5)dt in the interval 1 to x. 
COLLEGE CALCULUS. HELP!
the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 + 2x^3/3 + 2x it said its wrong. 
Calculus
The area is bounded by y= x^3, x= 2 is rotated around the xaxis. Find the volume using calculus. 
math, calculus 2
Use part 1 of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u1))du 
Calculus Help
Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ? 
Calculus
A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the yaxis. You must use calculus and clearly show your … 
Finite Math
Fifty percent of students enrolled in calculus class have previously taken precalculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. … 
calculus
Use the Fundamental Theorem of Calculus to find G'(x) if: G(x)=∫ up(x²) bottom(1) cost dt 
Calculus
Use the second fundamental theorem of calculus to find F'(x) F(x)=The integral from 0 > x^2 (Sin(x)^2)dx