find the LaPlace Transform, L{f(t)}, the given f (t). f(t) = e 3t sin 2t 2 s+ 3 2 А. (s + 3)2+ 2 (s + 3)2 D. (s+3)2+4 E. None (s+3)2+4 B.

Q: Evaluate the triple iterated integral int _0^1 int _0^z int _0^y (ze^(-y)^2) dxdydz

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Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

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Q: The graph shown below is f(x) = 2x 2 - 1. If g(x) = Sốf(t)dt , find g '(3). %3D 4 2 X 54 3 -2 - V1 2…

A: g(x)=∫0xf(t)dtThenBy fundamental theorem of integral calculusg'(x)=ddx∫0xf(t)dt=f(x)g'(x)=2x2-1

Q: Find y if y = 2. arcsin[] and - sys. T/4 1/2

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Q: Simplify arctan + arctan . O 0° 45° 90°

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Q: 4) rotation 90° clockwise about the origin YK U

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Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

Q: 1- use Gauss Elimination to solve the following set of equations: 3x-y+z=-2 x+5y+2z=6 2x+3y+z=0

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u =j + 8k v = i - 6j - k

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: -4x + y = 5 52. 6x - 2y = -9

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Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

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Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: 10 rp|9 |10z 5 da

A: Follow the procedure given below.

Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+X3=0 4x1+…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Answer the following True or False. If f(x) is integrable on a, b, then f(r) is continuous on [a,…

A: For the solution follow the next step.

Q: J 3x - y = 8 - y3= 3D8 46. - 2x + y = 4 %3D

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

A: Follow next step

Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: 1 dx V16 – x²

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³ (x + sin x) %3D 4. y = tan¬1(3x)

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Q: Sv amate the indefinite integral Ancwer in simplest furm (Hactored porm) 1682-9

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Q: A cost​ function, C(x), is given below. Find the average cost per item when the required number of…

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Q: 6.* Sx³ V4 – x² dx - A V(4 – x*)³ – V(4 - x²)* + C C (4 – x²)ª + (4 – x²)5 + C 15 15 D V(4 – x²)³ –…

A: A.=-x23(4-x2)32-215(4-x2)52+Cdifferentiating w.r.t. x;=-x2332(4-x2) (-2x)-2x3(4-x2)32…

Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

A:

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: Given: Here, M=2x-2y2, N=12y2-4xy. Notice that ∂N∂x=-4y=∂M∂y. So, the function is exact.

Q: If 11 | f(z)dz 7 70 and 11 g(x)dr = 14 70 and 11 h(r)da = 33 70 what does the following integral…

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Q: 6. Evaluate ds using the following methods. A. Trapezoidal Rule with n = 4. Round to 4 decimal…

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Q: Determine if the system of linear equations is inconsistent or dependent x-y+3z=3 4x-8y+32z=25…

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Q: a) A small metal bar, whose initial temperature was 10° C, is dropped into a large container of…

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Q: =D1 || |

A: I am attaching image so that you understand each and every step.

Q: 3- use Cramer's rule to solve the system 8x1-4x2+3x3=0 X1+5x2-X3=0 -2x1+6x2+X3=0

A: Here we have to use Cramer's rule to solve the system.  8x1-4x2+3x3=0x1+5x2-x3=0-2x1+6x2+x3=0

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Bernoulli's Equation Solve:

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Q: Choose the graph of the function "arccot(x)".

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Q: 2. The second problem was supposed to have the graph of g(x). But instead of the graph, the screen…

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Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: If 3 h(u)dv = 13 and / h(v)dv = 6.1 5. what does the following integral equal? | h(v)dv = 6.

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes.

A: Given query is to find the area bounded by the line.

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.