4. If BD || CE, BÁ 1 BC, and m26 = 48°, then AT D %3D E a. mZ5 = b. mZ8 = 8/7 C. mZ7 = B 9.

Q: ds 53. dt = 8 sin" (+ + 12). s (0) = 8

A: Given : dsdt=8sin2(t+π12)s(0)=8 Solve the initial value problem multiply both sides by dt then…

Q: NOTE: Enter the exact answer. yz dx dz dy %3D -144 –96

A:

Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: t? – TVE+ vt csc(t) - dt e® tan (e“) dx J Vsec² (e=) – 7

A: The given integral,   ∫t2-πt+t csc(t)tdt Note:    Multiple questions are given, we are able to…

Q: If x = e" tan v, y = e" sec v, then the value of y%3D X +y X- +y is

A:

Q: Given a = 5t – 30 and y = 25 sin t dy (i) da dy (ii) dr?

A:

Q: Suppose the reactance is 183 and the resistance is 220. Find the impedance and the phase angle

A:

Q: With our choice that dv = sin(Ttx) dx, then v = sin(TTx) dx, which can be calculated using the…

A: The given equation is,

Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

A:

Q: A small 1.05 g plastic ball that has a charge q = 1.75 C is suspended by a string that has a length…

A: At equilibrium, Equate the forces horizontally and also equates the forces vertically.

Q: what is the area of the shaded sector of circle B below

A: Given:  To find the area of the shaded region.

Q: If A is PD and Tridiagonal, and p ( Tw)=0.5, then the exact calculated value of p ( Tg) is

A: Matrix  A is PD( Positive definite) are tridiagonal and ρTw=0.5 All diagonal elements of matrix…

Q: find dy ny the Chaenin Rult yz tan u and UzJxz+5

A:

Q: In the given Bernoulli's equation 6y²dx – x(2x³ + y)dy = 0, what is ƒ P,(y)dy?

A: I have appended the formula used in the solution part

Q: Given z = 2 cos t + 26 and y = 5 sin? t dz dy dy dz

A: Derivative of function in parametric form

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ), 7Iny @ -ch(v^) +C B) None -ech-(7) +C 7 ® ech (»*) +c

A:

Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

A:

Q: If yo is the particular solution of dy 4x°y, y(0) = 3, %3D %3D dx find the value of yo(2).

A:

Q: Find the length of the indicated portion of the trajectory. rt) = (e 'cos t) i + (e 'sin t) j +3e t…

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

Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

A: Solu

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: 2. In 00, AE is tangent to 00 at E, mZBCF = 112 and mBE: mDE = 3:7. Find: (а) тBЕ (b) mZA E A C (c)…

A: In circle with center at O, we have following diagram We have to find (C) m<DEB

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: e Given to 9. Ila,b)=)-0∞ 3(ax?)dx e

A: I could not find what to do after your steps. So I thought of a different process. I hope this…

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A:

Q: If Wallis is used to integrate sin rcos zda, what must be the value of a? A. 00 B.1 C.O D.

A: In wallis integration, to find the value of alpha

Q: If y = e then y – y' + e*y is equal to %3D eet

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: consider y y"-(y') 0 where d = y If u = y', then the D.E. is reduced to (A) %3D (B) (C) du du du (D)…

A:

Q: cos(kr)e¬lz dx, Hint: consider cases for k and I.

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Q: ,2 4 +(dx dt 2 dt ....

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Q: 7x +3 r sin r 5. If w then what is dw/dr?

A:

Q: L(sin?x) = Select one: a. 1 - (s² + 4) b. 1 (52 + 4) 25 C. 1 2 - (s2 + 4) d. s(s? + 4) e. SHOT ON…

A: Using the trigonometric identity, it can be written that .

Q: If u=e*? then du= ... %3D dx 2xe* dx 2x 2xe*

A: The chain rule states that ddxfgx=f'gxg'x.

Q: Given x = 98 sin t + 36 and y = 98 cos t + 17 da (i) dt dy (ii) dt dy (iii) da

A:

Q: i道)=1些, ì c B aw defanticble fumetione ofl du du are w.

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Q: S™ sin dt Sa" 2 1 b. 2 С. 3 d. None of the above a.

A: Given that, I=∫02πsint2dt we have to find the value of given integration.

Q: For which a, b e R is eat sin(bx) is a solution to the heat equation Uj – kuxx = 0?

A: Take the given value as U and put on the equation and compare

Q: Given a = 2 cos t + 26 and y = 5 sin? t dz dt dy dt ||

A: Simply take the derivative using basic concept of derivative.

Q: Given an LC-circuit as UTM + 승-E, sin at dt? where C is the capacitance, L is inductance, and Eo is…

A:

Q: d’y If y= cos 2x, then at dx? x = 0

A:

Q: Question # 4.7 43 Find the valve of (I+J3 243

A:

Q: Calculate the neutral axis. For the L-beam shown in Figure Q11 (all dimensions are in mm). a) 128.75…

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Q: 27 dz, C: z(t) =t – ti, t e [-1,5].

A:

Q: Given a = 2 cost + 14 and y= 5 sin?t %3D da (*) dt dy (2) dt dy (6) da

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Q: Solve the following problem %3D 0, 0 0, + dx² ' ay? u(0, у) —D 1, u(п, у) %—D 0, и(х, 0) %3D 0, и(х,…

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Q: e 3. form Ans CUse H tnt dt fnachons

A: Solve the given definite integral by integration by parts,

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A:

Q: Find the Product solutions of 2) du du - I dy dx +

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Q: Question 1 Evaluate I S Csin(0.70)dx %3D where, C = 4 x1 = 0.6 rad %3D v2 = 0 9 rad

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.