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0-8) If temperature at the sea level is 68 F and temperature decreases at the rate...
Solve the Following
The Scalar field
gives the temperature at a given point.
a.) The temperature at (2,12,-3) is only 5 degrees Celsius. In
what direction should you move to experience the greatest possible
increase in temperature, and what is the rate of change.
b.) At (2,12,-3), what is the rate of change (directional
derivative) if it goes in the direction
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Part E and F is draw shear an moment diagram
< Homework #8 Problem 9.17 Consider the frame shown in (Figure 1). EI is constant. Figure 1 of 1 6 m 18 kN/m 4 m
Q2: Find the complex Fourier series (show your steps) - T < x <07 f(x) 0 < x < Q1: Find the Fourier transform for (show your steps) - 1<x< 0 Otherwise (хе f(x) = { 0,
(4) Let f(x) (0 if x<0 (a) Show that f is differentiable at z (b) Is f'continuous on R? Is f continuous on R? Justify your answer.
f(40)
f(-3/2)
f(-1)
f(0)
f(-3)
Evaluate the piecewise defined function at the indicated values. if xs-1 if -1 <S1 x2 + 2x
0 x/8 x <0 0 11, Find the mean when F(x) = x < 2
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
5. Is f continuous at f(1)? (10 points) [-x2 +1, 4x, f(x) = -5, -1<x<0 0<x<1 x=1 1<x<3 3<x<5 - 4x + 8 1,
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
F. dr Find a function of such that of 8 and then evaluate where F(x, y) = < 3 + 2kg", 2y) and C is any smooth curve from (-2, 1) to (1,2).