Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+ -9j / 2+10j       2 + 10j

Q: Given the differential equation y' = 6 x y and y(0) = 10 and its next few implicit derivatives y" =…

A:

Q: determine the area of the region bounded. show complete solutions.

A:

Q: 4x3-х dx х2-х-30

A: Solving the problem by finding the value of the integration.

Q: y" + 3y' + 2y = 12x* %3D y" + 4y' + 4y = e¬* cos x

A: As per the guidelines I am supposed to do the first problem in case of multiple problems. So here I…

Q: 2. Classify each of the following sets as open, closed, neither, or both. Then, find the closure. a)…

A: classify the given sets are open and closed.

Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use co…

A: This question can be solved using the concept of ratio test.

Q: Evaluate (S(x+ 2y)dy) dx. О а. 5/8 O b. 8/5 Ос 3/16 d. 16/3

A: solution:-∫02∫0xx+2ydydx=∫02xy+2y220xdx=∫02x2+x2dx

Q: Solve the initial value problem 16y" – 24y' + 9y = 0, y(0) = 3, %3D y'(0) = 5. y(t) = How does the…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (9,…

A:

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: Question: 3 a) Find g'(-1) by using the definition of the derivative for the function g(x) ax-1…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: /2 x cos xdx

A: The integration of the integral is x2cosx, Iimit from 0 to pi/2.

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is: 5x2=61-x   As we know that; logaxb=b·logax ; x≥0

Q: x = sin(t/2), y = sin(t)

A: answer is in next step

Q: Use hyperbolic functions to parametrize the intersection of the surfaces x2 - y = 9 and z = 5xy.…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 27.2 as follows: Let f(x) = Vx. The…

A:

Q: Find the 5th degree Taylor Polynomial centered at x=0.  sin(2x) ln(1+x)

A: Given that    sin(2x) and ln(1+x) To find 5th degree Taylor polynomial centered at x=0

Q: 5. Compute the arc length exactly y = x2 - In x , 1< x < 2 4

A:

Q: Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out,…

A: We have to find the rate of change of Area.

Q: Current Attempt in Progress Find the solution of the given initial value problem y" + 9y' = 0, y(0)…

A:

Q: Differentiate the function y = -5e0.

A:

Q: Find the next number in the sequence 4,16,64,256

A:

Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

A:

Q: (a) Use differentiation to find a power series representation for fx) = (3 + x)2" Σ 00 n = 0 What is…

A:

Q: T rsinx S"Stnx y dy dx 2 dx dy

A:

Q: (b) C x*y dx dy a, О а. 3/8 ОБ. 28/3 O b. Ос. 7/2 O d. 27/2

A:

Q: fxcos 73 x cos 4xcos 2xdx π ſcos(nx)dx 75 ーπ 77 xsin(nx)dx

A:

Q: 1. What is the best method to use given a differential equation with f(x) = sec x? %3D C. Both…

A:

Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

A:

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A:

Q: Find differential of the function y = (x² + 8)3. dy = dx. When x = 5 and dx = 0.05, compute the…

A: Solving

Q: Evaluate A Se-* dx by Simpson's 1/3 rule with n=10, work for six digit

A:

Q: Find the area, A, of the region enclosed by the cardioid r = 10 + 10 cos 0. NOTE: Enter the exact…

A: solution given below

Q: fi(x) 1 A = {fi, f2, f3} c F(R) and f(x) = f:(x) = |x+ 1| PROVE: A is linearly independent. (A L.I.)

A:

Q: LL6- 25 – 3°) dy de (6 –

A:

Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling…

A: Newton law of cooling : dT/dt = k(T - Ta) and T = Cekt + Ta Boiling Temperature of water is 100° C…

Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: 2 4 dpx. (px)2 ACS = 1

A:

Q: View Policies Current Attempt in Progress Find a differential equation whose general solution -2t y…

A:

Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

A:

Q: Question Given the triangle below, find the angle 0. 0. 10 9. Give your answer in degrees rounded to…

A:

Q: can

A:

Q: Use the function f and the given real number a to find (f ) (a). (Hìnt: See Example 5. If an answer…

A:

Q: TC Find all solutions of the equation in the interval 0, 2n). cosx V 1+sinx Write your answer(s) in…

A: We know, sin2x+cos2x=1 for all real x sinx=0 implies x=nπ, for all integer n sinx=1 implies…

Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: =limn→∞ ann=limn→∞ 3n2n+13n1n=limn→∞ 3n2n+13=limn→∞ 32+1n3=limn→∞ 32+03limn→∞ |an|n=278

Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

Q: A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the…

A: Let's find.

Q: X+1 Use a table to evaluate the limit: lim x(x- 1) • O -1 +cO

A: Use limit for finding the right answer.