# MATH 178 Grossmont College Price Demand Equation Solved Practice

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QUESTION 1 . 1 POINT
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Consider the price-demand equation given by
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6,000 – 2
p=
1,200
Which of the following gives E(p), the elasticity of demand?
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E(P) = 20–2
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E(p) = 5
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Which of the following gives E(p), the elasticity of demand?
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E(p) = 20-4
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E(P) = 5-2
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E(P) = 10-2
O
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E(P) = 15-2
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QUESTION 2 . 1 POINT
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Find the following antiderivative:
| 28°/-24
2x² (–23 + 3)” dx
Do not include the constant “+C” in your answer. For example, if you found the antiderivative was 2x + C, you would
enter 2x.
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QUESTION 3.1 POINT
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Let h(x) = f(x)g(x). If f(x) = ln(3×2 – 2x – 4) and g(x) = 3x – 1, what is h’ (x)?
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h’ (2)
=
18.:2-121+2
+ 3 ln(3×2 – 2x – 4)
3.-2-22-4
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h’ (2)
1822-12x+2
3-2-22-4
3 ln(3×2 – 2x – 4)
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h’ (2)
1812 +12x-2
3.2-2.0-4
+3(3×2 + 2x – 4)
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h’ (2)
= (18×2 – 12x + 2)(3.×2 – 2x – 4) + 3 ln(3×2 – 23 – 4)
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h’ (2)
=
1822-12x+2
+ 3 ln(3.×2 – 2x – 4)
3.2-22-4
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h’ (2)
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=
1822-120+2
3_2-2.0-4
3 In (3×2 – 2x – 4)
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h’ (2)
1822 +120-2
+3(3×2 + 2x – 4)
3.2-2.1-4
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h’ (2) = (18,2 – 12x + 2)(3×2 – 2x – 4) + 3 ln(3,2 – 2x – 4)
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h’ (2)
=
12.:2-181+2
+ 3 In(4.×2 – 2x – 3
4.-2-22-3
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QUESTION 4 . 1 POINT
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Find the area, in square units, bounded above by f(x) = 4x² + 9x – 24 and below by g(x)
=
5×2 + 21x + 3.
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QUESTION 5.1 POINT
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Is the graph of r(2)
4×3
– 2.×2 + 9x – 2 concave up or down at the point with X-coordinate -1?
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Concave down
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Concave up
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QUESTION 6.1 POINT
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Evaluate the following indefinite integral. Do not include +C in your answer.
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(2×6 + x2 – X – 2)dx
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QUESTION 7 .1 POINT
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For the function below, find the local extrema by using the First Derivative Test.
5
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f(x)
5.×2 – 75% +9

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There is a local maximum at x = -3 and a local minimum at x = 5.
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There is a local minimum at x = -3 and a local minimum at x = 5.
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There is a local minimum at x = -3 and a local maximum at x = 5.
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There is a local maximum at x = -3 and a local minimum at x = 5.
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There is a local minimum at x = -3 and a local minimum at x = 5.
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There is a local minimum at r= -3 and a local maximum at x = 5.
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There is a local minimum at x = -3.
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There is a local maximum at x = -3 and a local maximum at x = 5.
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QUESTION 8.1 POINT
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Find which function below is the antiderivative of 84xe6z? by taking the derivative of each answer choice.
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7xe6z? +
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14e6z? +
O
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7e6z? +0
O
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7e3622 +0
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QUESTION 9.1 POINT
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Given the graph of the function f(x) below, use a left Riemann sum with 4 rectangles to approximate the integral
5. f(x) dx.
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1
2
3
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Ол
6
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2
3
4
5
6
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QUESTION 10.1 POINT
y
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10
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8-
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7-
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6-
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5
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4-
3
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2
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1
C
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10-9
-8
– 7-6
-4 -3
2
3
4
5
6
7
9 10
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C
-7 -6 -6 -4
9 10
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5
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-7
-8
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-9
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-10
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Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.)
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2+1+
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QUESTION 11 . 1 POINT
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QUESTION 11 . 1 POINT
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Given a cost function C(x) as
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C(x) = 5,000 + 20x –
4
܂
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which of the following represents the marginal average cost function?
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C’ave
5,000
4
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5,000
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C’ave
4
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5,000
C’ave
+20 – 12.
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C(x) = 5,000 + 20x
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which of the following represents the marginal average cost function?
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5,000
C’ave
4
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5,000
O
C’ave
4
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O
5,000
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C’ave
+20 – 17.
Tutoring
O
None of the above
=
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QUESTION 12 . 1 POINT
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A cereal company has a cost function of C(x) = -x2 + 12x + 100 for producing x boxes of cereal. What is the
1
= —
4
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QUESTION 13 · 1 POINT
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Given a price demand function
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P(x) = 100 – 15%,
calculate the average revenue when x = 5. Do not include the dollar symbol in your answer.
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QUESTION 14.1 POINT
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Evaluate
(425
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Final Exam
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QUESTION 15.1 POINT
Syllabus
Evaluate the following limit.
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-5×2 – 5x + 7
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27-00 – 6×3 – 4×2 + 6x – 7
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^ a 12 (ENG
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Final Exam
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gcccd.instructure.com/courses/35962/assignments/840262
:
Final Exam
Spring 2021
Account
Home
Attempts 0
Allowed Attempts 3
Dashboard
Due Monday by 1:45pm Points 100 Submitting an external tool
Available Jun 7 at 11:45am – Jun 7 at 3pm about 3 hours
Announcements
Assignments
Courses
You have 2 hours and 3 attempts for each question for he exam.
Discussions
33
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Good Luck everyone! You can do this!
Chris
People
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0/15
4
Files
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Syllabus
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6
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9
o 11 °C ENG
11:54 AM
6/7/2021
99+