Factor the trigonometric expression and simplify. |-2 sin? X +sin4X A.) sin? X B.) cos 4x C.) (I+tan? x) D.) (1-sin?x)

Q: Assune p is an odd prime such that p = 1mod4 (that is p 4k + 1) Prove: if a is a primitive root for ...

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Q: Find the Inverse Laplace Transform of

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Q: Question 2 If F 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = –1. Calculate: a) F×G a...

A: F = 2ui - ( - u³ + 4)j - u²k  G = t²i - 3tj + tk u =1, t = -1

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: For the solution of the problem follow the next steps.

Q: Let C= {[c, d] : –1<c<d< 5} be the family of subsets of R, where [c, d] = {x E R: c< x< d}. (a) Prov...

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Q: fx. yl=x'+6x+3y-12 xy+9x.

A: This is a problem of multi-variable calculus.

Q: Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of inte...

A: Given, Two circles are said to be orthogonal if the radius drawn from one of the circles to a point ...

Q: Za - zc+ Ze a.:= Zb + zd - zf 15 [2g - za b.== Lzh + zh c. = = z. + 2, - Zn

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Q: If F = 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = -1. Calculate: a) F×G ze d) :(Fx...

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

Q: 2(s+1) What is L¯' s- using Completing the Square? + 2s +10 А. 2e cos 3t 4 -e sin3t 3 В. 2е сos 3t 8...

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Q: Example: 1. Evaluate the double integral SRS (3y – 2x2)dA if R is the region consisting of all point...

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Q: x = c¿coswt + c2sinwt, w is a parameter (not to be eliminated)

A: It is known that: ddtsinkx=kcoskxddtcoskx=-ksinkx Here, k is a constant.

Q: Complex Numbers: Find the roots. = 2 – 31

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Q: dz F|=1 2. C: -국X=+ 2)

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Q: *A. Here is a solıd V: 7 = 20-y*-yª (V has are full circles + does not lie z cnss sec tons whidh In ...

A: We know the relation between cylindrical and cartesian coordinates system, x = rcos(θ) , y = rsin(θ)...

Q: Write a quadratic equation in standard form with roots -7/3 and 2 and passing through the point (0,2...

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: What is the least number of lateral edges of a prism? * O 2 3

A: To find the least number of lateral edges in a prism.

Q: Given points P(5, 2, -1), Q(2, -3, 0), T(4, 2, 4) foms the triangle. Find the interior angle at Q

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Q: If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential f...

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Q: 4. Let f (x) be a polynomial of unknown degree taking the values 0 1 2 3 f (x) 2|7 | 13 |16 All the ...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. - 2. Calculate the Laplace transform L{12e¬t...

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Q: If P1 is (3,5,00, P2 is (-1,2,7), and P3 (6,0,2). Find the shortest distance of the line P1P2 and P1...

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Q: n >0 Let f: Z→ R be a map f (n) = Show that f is a continuous injection Z →R but no n<0 an immersion...

A: We will use the basic knowledge of topology to answer this question properly, in detail.   Recall th...

Q: 1. Calculate the Laplace transform L{(t² – 4) sin(t)}.

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Q: Sexyz ds, C: x= 2 sin t, y = t, z= -2 cos t, 0sts T

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Q: Consider the following. g(x) = (x - 3)6/7 Find the critical numbers. (Enter your answers as a comma-...

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Q: t|t\, lx(t ± 2n), ーTくt<π x(t) 三 otherwise

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Q: System of Linear Equation 2x + y = 5 2x + y = 6 -8x + y = -1 -8x + y = -1 4x + y = 15 -2x + y = 15 7...

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

Q: 10. Prove that (지12 sin 8 cos 1 (cos a cosec 0) de 1/2-a (1-cos a )

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Q: C. Provide the steps and reasons to establish the following logical equivalence: 1) [Gv)→(pnar)]epng

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: Catherine drives 20 miles faster than her father, Gary. In the same time that Catherine travels 325 ...

A: Note: It is assumed that the speed of person C is 20 miles per hour faster than his father and the d...

Q: Specify c-1, Co, Ci and p such that the formula c_1u(x – k) + cou(r) +cu(z+ k) u'(2) 2 denotes the c...

A: This is a problem of Numerical Analysis.

Q: 18. Let xo < x, < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such th...

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Q: A student did this: /5 +V7 = V35. His answer is incorrect. Describe his

A: 5+7=35

Q: 5. Determine the roots of the complex numbers studied in class. z³ = 2 – 3i

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Q: Consider the following Ist order initial value problem: y' = with y(0)= 1 (E) Which of the following...

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Q: Use the Riemann sum with n = 2 rectangles to approximate dæ. Round to 3 decimal places. A 0.867 B 0....

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Q: Find the radii of curvature and torsion at a point of the curve r? + y2 = a², x² – y? = az. %3D %3D

A: Given curve is x2+y2=a2x2-y2=az

Q: Given: X, + X2 + X3 = 5 X, + 2X, + 2X3 = 6 X, + 2X2 + 3X3 = 8

A: This is a problem of Cholesky's decomposition and linear transformation.

Q: 00 a) E (÷)" п X а) 4 n=0

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Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15 ye...

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Q: Question 3. Given the formula y(s) – y(s – k) y'(s) use the Taylor series y(s + k) = y(s) + ky'(s) +...

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Q: Given the equation f(z) = 0.2z? + 20z +1.8 %3D , then using the standard classical discriminator equ...

A: For a quadratic equation: ax2+bx+c=0, the roots are calculated using the formula: x1, 2=-b±b2-4ac2a....

Q: 3. Calculate the Laplace transform L{(t+ V5)(2t³3 – V3)}.

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Q: Refrigerant 134a enters a well-insulated nozzle at 200 lbf/in.?, 200°F, with a velocity of 120 ft/s ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: This is the problem of vector algebra.

Q: please send handwritten solution for Q4

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Q: 2. Separation of Variables: Solve for: xy dx + (y + 1) e¯*dy = 0 O xe* – e* – y – 2y² = c O xe* – e*...

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Q: 5. Determine the roots of the complex numbers studied in class. z3 = 2 – 3i %3|

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