ss than four times a certain number is 14. Detemine th e gradient of the curve y= x - 6x-7at the points w ve cuts the x- axis? 3. 256 Find the values of mand ? 729 4 Crammer's Rule or any other method for matrix deten 12х-1 2х+1 =0 of xfor which x+1 4x+ 2 athe following parabolic function: 5x - 6x+5=0 ate the following differential and integral function (6x +5x – 2x+10) 4) ate the function [ (7x –12x +15x+10) -2 inia Beach farmer has 480 acres of land on which to

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
1) Express the following statements in an Algebraic expression and solve them
(a)
The sumof two numbers is 21, and one number is twice the other. Find the
numbers?
(b)
Tenless than four times a certain number is 14. Determine the umber?
(c)
Find the gradient of the curve y=x - 6x-7at the points where
the curve cuts the x- axis?
m
256
Find the values of mand ?
729
(d)
If
2) (a)
Using Crammer's Rule or any other method for matrix deteminant find the
|2x-1 2x+1
=0
X+1 4x+ 2
values of xfor which
(b)
Sketch the following parabolic function: 5x - 6x+ 5= 0
(c)
Evaluate the following differential and integral function
dl(=4) (6x +5x - 2x+10)
(d)
Integrate the function [ (7x -12x +15x+10)
A Virginia Beach farmer has 480 acres of land on which to
grow either com or soybeans. He figures he has 800 hours of
labor available during the crucial summer season. The famer
can expect a profit of $40 per acre on com and $30 per acre on
soybeans. He knows that com requires 2 hours per acre to raise,
and soybeans require 1 hour per acre to raise. How many acres
of each should he plant to maximize profit? What is his maximum
profit
3) (a)
X+2
Graph the rational function R(x)
X -4
Use the deteminant or the Gaussian Elimination method to solve
(c)
2x+3y+ z=-1
3x+ 3y+ z=1
2x+4y+ z=-2
Transcribed Image Text:1) Express the following statements in an Algebraic expression and solve them (a) The sumof two numbers is 21, and one number is twice the other. Find the numbers? (b) Tenless than four times a certain number is 14. Determine the umber? (c) Find the gradient of the curve y=x - 6x-7at the points where the curve cuts the x- axis? m 256 Find the values of mand ? 729 (d) If 2) (a) Using Crammer's Rule or any other method for matrix deteminant find the |2x-1 2x+1 =0 X+1 4x+ 2 values of xfor which (b) Sketch the following parabolic function: 5x - 6x+ 5= 0 (c) Evaluate the following differential and integral function dl(=4) (6x +5x - 2x+10) (d) Integrate the function [ (7x -12x +15x+10) A Virginia Beach farmer has 480 acres of land on which to grow either com or soybeans. He figures he has 800 hours of labor available during the crucial summer season. The famer can expect a profit of $40 per acre on com and $30 per acre on soybeans. He knows that com requires 2 hours per acre to raise, and soybeans require 1 hour per acre to raise. How many acres of each should he plant to maximize profit? What is his maximum profit 3) (a) X+2 Graph the rational function R(x) X -4 Use the deteminant or the Gaussian Elimination method to solve (c) 2x+3y+ z=-1 3x+ 3y+ z=1 2x+4y+ z=-2
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