Solve using python please sin ()+ 3 r2 and g(r) = and g (a) Show a)...
please solve the following question and show all the steps.
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Question 2. We say that a function f is invertible if f--{(ba) : (a, b) function, in which case we call it the inverse function to f. Notice that f} is also a f- (b) = a-> b = f (a) (assuming that f-1 is a function). We define the range of a function f DR to be the set {f(x): r E D], i.e., the set of...
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem)
Question 2...
I need help solving this problem using Python.
2. Given f(x) = (cos(x))2 and g(x)-(cos(x))2: ππ (a) Plot the functions on the x-interval | and the line x = π on the same set of axes. (b) Find the volume when the right half of the region between the curves (on x є |0, | ) is rotated about the y-axis. (c) Find the volume when the top half of the region is rotated about the r-axis. (d) Find the...
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Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
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Evaluate the integral using the two different methods given. S sin 0 cos do, A. Use Substitution Rule with u = sin(0) B. Use Identity: sin(20) = 2 sin 0 cos 0. Show all work on your paper. Label each answer with the part (A or B). Let y = f(x) be a continuous function. f(-2) = -4, f(1) = 0, and f(3) = -2 Domain of Y is (-0,00). For all æ in (-0, 1) U (3,...
solve all questions simply by using matlab.
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1Normal 1 No Spac Heading1 Heading 2 DISCUSSION Solve all tasks given below: 1. Consider function f(x) 3.5-0.5x cos(6x) for the value of x between -2.0 until 4.0. Draw the plot in dash line and in red colour, Label the title and all axes. 2. Consider the following functions for 0sxS pi: x() 10e0.St sin(3t +2) y(t) 7e-04t cos(5t - 3) (a) Draw both graphs on the same...
How
do you do this on Matlab?
Question 3
Problem 3 (25) G a function f(r) coatmtous at X = 25 And the pos iive root. Manually. by hatd, conduct the Secant method using the function in prder to successfully fill in thie teble. Sliow hand caleudated solutions fil in the able, and use tlirce decimals Hegarding MATLAB, plot the function and solve for the roct using a built-in function. (t)= 0.2(r-5)-Olx+10 new old 41 1425 0319 1775 1.3 2010...
Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts] Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y +22)j + xk
5. Using the Weierstrass M-Test, show that a sin (3) converges in all n=1 of R. 6. Determine the type of convergence of fn (x) as n - as for fn (2) -nac ve Te [0, x). 7. Determine if fn (x) = converges pointwisely or uniformly on R. 8. Consider fn (x) = x"on (0,1), prove that { fn} converges pointwisely. 9. Prove that the sequence fn (2) for 2 € 2,) converges uni- formly. 10. Determine the type...
Solve using R and show R code
Instruction: Please submit your R code along with a brief write-up of the solutions. Some of the questions below can be answered with very little or no programming. However, write code that outputs the final answer and dos not ryuira uper calceulatioms. Q.N. 1) The mammals data set in the MASS package records brain size and body size of 62 different mammals a) Fit a regresion model to describe the relation between brain...