Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter I, Problem 6PS
To determine
Find the value of the given determinant.
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24. Find the determinant of the matrix
Q.4
a. Find : S xsec2 (x²)tan2 (x²) dx
dy
b. Find
dx
(y)? = sin (cos³ +3x"))
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c. For what value of c the following determinant equal to 36
2
1
- 2
3 - 1
C
Which of the following equations does not hold for all values of x and y?
cos(r + y) = cos(x) cos(y) – sin(x) sin(y)
sin(2x) = 2 sin(x) cos(x)
sin? æ + cos (x) =1
sin(-a) = - sin(x)
sin(x + y) = sin(x) + sin(y)
Chapter I Solutions
Student's Solution and Survival Manual for Calculus
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- Sparrow_forwardIf find az/au and az/av. ?z/?u Əz/dv = z = sin(x² + y²), x = u cos(v), y = u sin(v), REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and v identically equal to 1, then the expression exp(uv) *exp(-uv) would not be accepted, while the constant 1 would be. HINT. Try to simplify the *function* itself before differentiating it.arrow_forwardQuestion 3. (30 marks) Compute the determinant of 2 -3 -2 -2 -3 B = 1 3. -2 -1 -6 4 2523arrow_forward
- Find the determinant of the matrix | cos A sinA sinB cosB sin A - sin B cos A+ cos B cos A - cos B O sin A + sin Barrow_forwardEvaluate the following determinants and justify your answerarrow_forwardThink Diagonal Usethe ideas of Problem 15 to evaluate the determinants in Problems 16–19. -3 4 0 0 7 6 0 0 5 4 0 -3 0 1 /2| 16. 17. 0 0 6 22' 0 0 -3 -3 4 -1 4. 19. 18. 5 -1 0 0 5 I| 0 -2 2 O 13 0 0 4arrow_forward
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