The doctors in Philippine General Hospital declares the probability that a covid-19 patient will survive is 90%. What is the probability that exactly 5 of their 7 patients having this disease will recover?

Q: Transform the following into rectangular form 2. z = 2e 6

A: Three form of complex number  Rectangular form  z=a+ib Polar form z=r(cosθ+isinθ) Exponential…

Q: Ciassify the following PDE: = 0 a. uxx+uxy - 4u₂ + ux a²u. 2²u b. əxəy 3²u 3x² dy? =

A: The given partial differential equation is a. uxx+uxy-4uy+ux=0 b. ∂2u∂x2-∂2u∂y2=∂2u∂x∂y We have to…

Q: Express the following sums in summation or product notation |을 + + +급 +급 + 뉴 | 22+4z + 6z"+...+30z³1

A:

Q: Formation of Differential Equations by Isolation of Constant Y = 2cze* – c2e*

A:

Q: Solve the following complex number problems. Solutions for complex number transformation is required…

A: We have to simplfy the complex number. Concept : i4n=1 and ei0=cos(theta)+isin(theta)

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A: In the given question we have to find the path of the fly along the straight line that starts from…

Q: f(x) f'lx) %3D

A:

Q: Evaluate the integral and check your answer by differentiating. x5 + 3x² 1 x4 1³ - dx +C

A: Given data

Q: 2.Fit a parabola to the following data: FIG.02 A. Fit a parabola to the following data? 1 1.5 2 2.5…

A: (a)  The given data is             x:  1 1.5 2  2.5  3  y:  1.1 1.3 1.6  2.6  2.7  3.5  43.4  4.1…

Q: Given: 00 5(-3)"(x – 2)" Vn + 2 n=0 Use Limit Comparison Test to show that the series diverges when…

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Q: Use the given derivative to find all critical points of f, and at each critical point determine…

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Q: Topic: Differential Equation with Homogenous Coefficients Simplify In|x| + In E – 1- 25 In 5…

A: Simplify

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the…

A:

Q: Suppose that the number of bacteria in a culture at timet is given by = 9000 34. (a) Find the…

A:

Q: A. Convert each degree measure to radians. Leave answers in terms of n. 1. 330° 2. 15° 3. 105° 4.…

A: We will convert each degree measures to radians in the following step.

Q: 1) DERIVE THE FORMULA FOR COS'Z

A:

Q: Fill up the table and solve the following probabilities. x + 1 7 1. P(X < 1) = 2. P(1 ≤X < 5) = 3 3.…

A: Answer:- Given,  P(X = x) = (x+1)/7 ; where x = 0 , 1 , 3

Q: A submarine is cruising at a depth of 30 m. It climbs 12m, then dives 21m, and then dives again 13 m…

A: This is a simple addition-subtraction problem.

Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: Find g'(9) given that f(9) = 5 and f'(9) = 1. Enter the exact answers. (a) g (x) = Vaf(x) %3D g' (9)…

A:

Q: (b) Would you be surprised if there were 114 people who have had chickenpox in their childhood?…

A: Given that sample size n = 130, expected people with chickenpox, mu=117 and SD s = 3.45.

Q: 1. Encrypt the following Messages/words using the indicated method. A. Using cipher shift of 4 to…

A:

Q: If the Laplace transform of x³/2 is 3√π 5 4² (s + 1) √√π 4(s + 1)5/2 A) F(s) = B) F(s) = 3√√π 4s5/2…

A: The given problem is to find the Laplace transform of the given function t3/2e-t with given Laplace…

Q: Determine the open disk of convergence and radius of convergence of 2n (z – 1+ 2i)" -n + 1 n3D0 8.

A: Here we have to find the radius of convergence and open disk of convergence.

Q: Find the particular solution of the differential equation y""-3y" + 4y = 6+80cos2x, y(0) = y'(0) =…

A: The DE is given that , y'''-3y''+4y=6+80cos2x , y0=y'0=y''0=0 find the particular solution.

Q: 4-21 The following data give the starting salary for stu- dents who recently graduated from a local…

A: Please find the explanation below. Thank you.