1. Using the given figure, express: (a) DB in terms of d and e (c) CE in terms of e, a and b B В: A E (b) BE in terms of a and b (d) DC in terms of c and g. D C

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A: Suppose fx,y is a function of two variables. To find the partial derivative of the function f with…

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A: Given: x=t2                and      y=t⇒x'(t)=2t      and     y'(t)=1 Now: ds=x'(t)2+y'(t)2…

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Q: [3i If A = i i then JA| =?

A: The given matrix is A=3iii-i.

Q: Calculate AT A and AT b, given A AT A = ATb = Ex: 1 Ex: 1.2 1 1 1 1 2 20 10 20 and b = 110.2 363.6…

A: The given matrices

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A: To solve by using integration by parts.

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Q: Question2: Use the following formulas to fill the blank ý = b0 + b1x b1 =ry Sx >r = b1: Sy b0 = y-…

A: 1) The value of b0 is 12.5, and b1 is 0.75. The regression equation is, y^=b0+b1x=12.5+0.75x Thus,…

Q: Answer the following: 1. Evaluate: 00 e³z 1 = (e* + esz)z dz

A: Given: I=∫0∞e3zez+e5z2dz To find: Evaluate the given integral.

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A: the given figure is: a∥b∥c. we have to find the values of x and y.

Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

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Q: For Exercise, perform the indicated operations. (6 – V5i)-

A: The given expression is

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Q: Considering F(x,y, z) = (y, z – y, x) and S the surface of the tetrahedron with vertices (0,0,0),…

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Q: Answer TRUE or FALSE 5л FI[ dzrdrd0 = [ Gdzdxdy 0 Jo Select one: O True False

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Q: Ldb + BOL + LB (BAL +dB) = 0

A: Given, αdβ+βdα+αββdα+dβ=0

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Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: Q4): Evaluate: L SEL(a + 1) dzdydx ;a = constant

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Q: A. y(x² + y²)dx + x(3x² – 5y²)dy = 0; whenx = 2,y = 1.

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Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

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Q: зхе-МХxcos(Nx) 5- a. Differentiate: y = M csc(Nx)+Nx

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Q: 1. Simplify the following: Z=2 (-x² y5 n=7)²+2) х уп x6 Vyf n² (t³ s6)° x³ y-2 n7 b.

A: Given expression :

Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: F'{le }}= Select one: V2iz O a. e O b. None of these C. /2x O d. re 2z2 O e. /2m

A: The Fourier transform of the function f(x) is represented as F(λ), it is defined as ∫-∞∞eiλxf(x)dx,…

Q: Find the DE of the following solution: y = (c1 + c2x)e2* + (c3 + C4x)e¬*

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Q: Find the 19 ad gud deruaitive 5. and =55" 25 dr- ds

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Q: Find the ditere ntials of the Following Ferms:

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Q: a) What is the role of a and k in y = alx|+k?

A: Answered first question as per our company guidelines. Second question is incorrect please repost…

Q: If A= ACH) find the A? m d2 A RT dA 2. dt

A: We have to find the characteristic equation and solve for homogeneous solution.