Write the equation of a sine or cosine function to describe the graph.

Q: If z1 = -4 + j5, z2 = -3 + j2 , and z3 = 2 - j3 , what is the simplified form of Im (z2 · 2) ? Note:…

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Q: Problem 2. Consider f (x) = cos(x) f approximate ). given function at X0 = by making use of the…

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Q: b a d

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Q: Take the function on the vector space R3. = 3xıyı+4x2yz+x3y3 Where x = (x1, X2, X3) y = (yı, y2,…

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Q: Perform here the preliminaries to perform (a) sin40 (a) sine 8cos30 – 4cose

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Q: The temperature at point (x, y, z) is given by T(x,y,z) = xy + sin(yz). Find the direction from…

A: Temperature at (x,y,z) is T(x,y,z)=xy+sin(yz) point (1,1,1)

Q: Solve the given differential equation. x2y" - 3xy' – 6y = 0 y(x) = x > 0 %3D

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Q: Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (2, -1, 4), T(0, 1, 0) = (3, 1,…

A: We have to find the value of T2,1,-4

Q: 4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y² = 9…

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Q: 12. Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $37,764.…

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Q: Use the Gauss-Seidel method to solve the following system. Compute the errors. [10 2 -1] [X1] X2 =…

A: Given: 102-1-3-62111x1x2x3=4125105 To find the solution using Gauss -seidel method.

Q: How solve tge step?! 4- Substitution (5) (1) [D(D,-1)(D, -2) + 3D (D –1)+D, +8]y= 7e [D +8]x= 7¢

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Q: Whether each of the following statements are true or false. Write TRUE or FALSE. (a) In the RSA…

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Q: Find the Lap lace Tvans Form k 12) Ans. F(s)= s(1+e") 0 a 2а За 4a

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Q: AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $48,000 and a…

A: Given that,Monthy fixed cost=$48,000Production cost=$7 for each timer manufacturedThe timers sell…

Q: 1.0 R 0.5 0.0 12 ahatics -0.5 -1.0 -1.0 0.5 0.0 0.5 1.0 . A contour plot of a function f is shown…

A: We will be solving Part C as mentioned. The given contour plot of the function f as follows: The…

Q: 4. Express (-2/3+ j2) in rectangular form.

A: Rectangular form of the complex number

Q: 6. Let F (x,y,z) = (x + y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

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Q: Evaluate In(3 + j4)

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Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

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Q: 3 , evaluate the improper integral dr. x2 + x – 2 Does it converge or diverge? Justify your claim.

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Q: L[e-3tcos (3t) + 3e-3tsin (3t)]

A: The solution is given as

Q: 4j Find the volume of tue solid generateal boy revelving the seijon bounded loy the equetians 2 d=…

A: The volume of the solid obtained by curve x=h(y)  rotated about x-axis in the interval [a,b] is…

Q: the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 - V1, 4V, + 5v), v =…

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Q: 10) Find the slope of the tangent line to the graph of y = x-5x³ + 2 when x-2 11) Find the equation…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: D. Find the solutions of the equation z -1= 0. Plot the answers on an Argand diagram.

A: We have given equation z6-1=0. We have to solve given equation and draw the argand diagram.

Q: 6. Let F (x,y, z) = (x+ y,–2y + z, 8z – x) and let U be the sphere where x2 + y? + z² = 25 oriented…

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Q: Find the average rate of change of the function over the given inte- f(t) = 7 + sin t а. 2 T 3n b. -…

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Q: Taking Joint H. Ź Fx=0 FHo Cos 45- Fan Cos67.5 Ho +130-6 563 cOszas:0 67.5 45° :: FHo Cos 45-Fan…

A: A system of equation is a set of equation with common variables in them. The solution of such an…

Q: Solve the following system of equations using the Gauss elimination method. 2x, + x3-X3 + 2x, = 0…

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Q: 5. Let U be the part of the hyperboloid x? + y? + 2 = 2z2 shown below that lies below the plane z =…

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Q: y'- 4y + 2x = 0, x = 2 and x-axis

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Q: A manufacturer has a monthly fixed cost of $57,500 and a production cost of $9 for each unit…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For items 9-10. Two coins are flipped then a die is rolled. 2ennib ynem wor 9. Which of the…

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Q: [(s-2)²+b²1 (s-b)2 i. F(s) = In j. F(4) = ln[1+] 2bs s²+2b2

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Q: 5. The following data is given: -2 -1 2 1.5 3.2 4.5 3.4 2 Determine the coefficients a and b in the…

A: Solution :-

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…

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Q: Find the measures of the numbered angles in the kite. The figure is not drawn to scale. m21-D' (Type…

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Q: an = In(n + 1) – In(n + 2), n e Z>0 = NU {0}. %3D Justify whether the sequence {an} converges. If…

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Q: 4. Find a general solution to the differential equation using the method of variation of parameters.…

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Q: Let F(x, y,z) = and let σ be the portion of z = 1 − x^2 − y^2 that is on or above the xy-plane…

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Q: Z3-22 If z1 = -4 - j5, Z2 = -3 + j2 , and z3 = 2 - j3, what is Re Note: z* is the complex conjugate…

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Q: For reference, here is the contour plot of f again: 1.0F R 0.5 0.0 Mathematics/ /12] -0.5 -1.0 -1.0…

A: From the given contour we see that the point P acts like a center and point Q acts like a saddle…

Q: (a) Draw the graph of the function |2 +t 0<t< 2 f(t) = t2 2<t< 4 and find the Laplace transform of…

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Q: Question 3 For the points A(8,12), B(8,8) C(12,8), and D(13,15), determine i) The equation of the…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e measured in degrees Celsius and…

A: Given,T(x, y, z) = 200e-x2-14y2-19z2

Q: 8. Use a substitution of the form y = (x - c)' to find a general solution to the given equation for…

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Q: Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first among…

A: Given, The average teacher's salary in Connecticut is $57,337. The distribution of salaries is…

Q: 3. Find a general solution to the differential equation. y" - 10y' +25y =t-3 e 5t

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Q: Q1.O Determuine type and stablity of critical point. y = 24, t4z 2

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