Calculus
5th Edition
ISBN: 9781429241861
Author: Laura Taalman, Peter Kohn
Publisher: W. H. Freeman
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Evaluate the following integral over the Region R.
(Answer accurate to 2 decimal places).
√ √2(x+y) dA
R
R = {(x, y) | 4 < x² + y² < 25,0 < x}
Hint: The integral and Region is defined in rectangular coordinates.
HW: The frame shown in the figure is pinned at A and
C. Use moment distribution method, with and without
modifications, to draw NFD, SFD, and BMD.
B
I
I
40 kN/m
A
3 m
4 m
Let the region R be the area enclosed by the function f(x)= = 3x² and g(x) = 4x. If the region R is the
base of a solid such that each cross section perpendicular to the x-axis is an isosceles right triangle with a
leg in the region R, find the volume of the solid. You may use a calculator and round to the nearest
thousandth.
y
11
10
9
00
8
7
9
5
4
3
2
1
-1
-1
x
1
2
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- Let the region R be the area enclosed by the function f(x) = ex — 1, the horizontal line y = -4 and the vertical lines x = 0 and x = 3. Find the volume of the solid generated when the region R is revolved about the line y = -4. You may use a calculator and round to the nearest thousandth. 20 15 10 5 y I I I | I + -1.5 -1 -0.5 0.5 1 1.5 2 2.5 3 -5 I -10 -15 I + I I T I I + -20 I + -25 I I I -30 I 3.5 4 xarrow_forwardplease show all the workarrow_forwardplease show all the workarrow_forward
- Pls help ASAParrow_forwardPls help ASAParrow_forward9. a) Determie values of a and b so that the function is continuous. ax - 2b f(x) 2 x≤-2 -2x+a, x ≥2 \-ax² - bx + 1, −2 < x < 2) 9b) Consider f(x): = 2x²+x-3 x-b and determine all the values of b such that f(x) does not have a vertical asymptote. Show work.arrow_forward
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