f 2sin 0 – 9 = -10, where 0 <0 < 2n, wh. are the values of 0? List your answers as exact answers in terms of t, separated by a comma hecessary.

Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). 3 r(t) = e%i+ ej %3D K(t)

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Q: Find r(t) for the given conditions. r'() = 4e1 + 7ej, r(0) = 2i

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Q: Giuen He quodratic px(x+2)+2(p-2x)t1,=0 findl Hhe values of p for ushich Hthe guedrati hos dadble…

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

Q: ||r'(t) x r"(t)|| Use the formula k(t) : to find k(t). 3 r(t) = ei+etj K(t)

A:

Q: Which of the following is the local maximum value of the function y=(sinx +3) in the interval…

A: Given function , y=f(x)=(sinx +3), x∈0,π

Q: Find all sojutions of the fellowing equation jn the interval [o, 2T). the 5sel x CSC X 10 CSCX

A: To find all the solutions of the equation 5secxcosecx = 10cosecx in the interval 0,2π

Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: Hind the cooffecPents + ax tb=0, where c = 3 anod x =-2 are tha roots a anod b f1om the oquatfon,

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Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).

A:

Q: z dz In order to evaluate JA2 – 9 we use the substitution sec e I= 3 sec 0 9. I= -sec 0 4. I= sec 0

A: Indefinite integral by substitution method

Q: Q2:- Find the domain and the range of the following equations:- (1)W = (2)W = sin x y (3)W = xy (4)W…

A: Find the domain and range of the following. Note- Since multiple questions are asked, I will answer…

Q: Еxample: if A = 2i + j+ 4k and B = 3i – j+ 5k find АхВ аnd B Х А:

A:

Q: X = cos 2t, y = cos t, 0 <t<T

A:

Q: & 28 root f x+ px'+ q* + rz0 One 3. equals the roob . Prove that px + 9x + r=0 * the ts other sm 3 +…

A: Given that, One root of polynomial x3+px2+qx+r=0 equals the sum of the two other roots. We need to…

Q: b.Solve the following difference equatom using Z T- a, yck+2) -9.yck+l) +20y Ck) = uck) b. yck)-3 y…

A: Given

Q: 5. Find which of the following quadrature formulas are of the interpolatory type. Show your…

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = ell'i+e"j -t. K(t) = %3D

A:

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y (4) +…

A: Introduction: The method of undetermined coefficient is a method to determine the particular…

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* (t) 3ti+ e-ti = e

A:

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y4) +…

A: We will find out the required solution.

Q: Find the length of the curve. x = 4r°, y = 6t, 0sts V8 < = 3 The length of the curve x = 4t°, y 6t…

A: Givenx=4t3  y=6t2   where t∈[0,8 ].

Q: Find S (9z - 5 sec z dz. Choose the answer below and be sure to show all of your work on your paper.

A: The integration cab be solved by splitting it in into two parts.

Q: Express tan I as a fraction in simplest terms. 6 I J √13 K 7

A:

Q: Find Duf at P. f (x, y) = 3(1+ xy)/"; ху)"%; Р(3, 5); и%— 1 1 i+ j V2 u = NOTE: Enter the exact…

A: Given function is  f(x,y) = 3(1+xy)3/2 and point P(3,5)  And u= 1/√2i+1/√2j  We have to find out the…

Q: iv) Find the value of ß such that P(T> B) = 0.01, where T = ₁Z₁² + ₁W₁²

A:

Q: 25. Given that -v2 + v2i =r (cose + isin0) the values of r and 0 are: 3 A. FV2, 0 = v2i B. 1-V3i C.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the Runge-Kutta(2) with h=2 to approximate x(4) for the IVP x'=x?-t+1, 23154, x(2) =2. OA 31 O…

A: Use Runge-Kutta 2nd order with h=2 to approximate x4 for the IVP         x'=x2-t+1,       2≤t≤4x2=2…

Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

A:

Q: ||r(t) × r"(t)|| 13 Use the formula k(t) to find k(t r(t) = ei + e¯tj K(t) = %3|

A:

Q: DE = ST D Given: Find: B wher ~ADBE. AC = 16, CB = 10 E is the midpoint of CB DE (Hint: Let DE = x,…

A: If △ABC~△DBE then ABDB=BCBE=ACDE E is the midpoint of CB CE=EB CB=BE+CE=BE+BE=2BEBE=CB2BE=102=5

Q: A. Find the general solution of the following DE using the methods introduced in this unit unless…

A:

Q: AL = 7x –6 x = AB = %3D BC = 1013 2. Point S is between R and T on RT. Use the given information to…

A: Use algebra for solve

Q: Find Duf at P. NOTE: Enter the exact answer. Duf= f(x, y) = sin(3x – 4y); P(4,3); - = u 3 i

A:

Q: Find r(t) for the given conditions. r'(t) = 8eti + 9e*j, r(0) = 2i r(t) :

A:

Q: Determine the intervals in which solutions are sure to exist. t(t – 3)y(4) + e'y" + 9t²y = 0 Enter…

A: Given differential equation is tt−3y4+ety''+9t2y=0.....1. We have to find the number of intervals…

Q: The interval in wh (4-t2)y' +2ty 3 Select one: O a. (-2,2) b. (0,1) C. (0,2) d. NOTA

A: Given        4-t2y'+2ty=3t2;     y(1)=5

Q: If we ignore air resistance, then the range R(θ) of a baseball hit at an angle θ with respect to the…

A: (a) Find the expression for R’ by differentiating the given R as follows.

Q: Find Duf at P. 3 f (x, y) = sin(5x – y); P(1,5); u=- 4 NOTE: Enter the exact answer. Duf =

A:

Q: sketch the odd and even extensions for -3,3]. Use the substitutions : '= ye¯* s = x Q.3 to solve the…

A:

Q: Determine a suitable form for Y (t) if the method of undetermined coefficients is to be used. y(4) +…

A:

Q: -T: TR TR be ormation depined ) =(x+Qy= メ+2y-Zッコメ ec) Rang(T) the

A: Given Linear Transformation:  Tx,y,z=z+2y-z,2x+3y+z,4x+7y-z For kernel we solve homogenous system of…

Q: finda the IVP, show the steps of derivation. y' con h2 x = sin2 y,     y(0)=1/2 pi

A: Solve differential equation by variable separately

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

A: We have to find the suitable form of Y(t).

Q: Q2 Using Lagrange Method find f(4), according to the following table: X 3 5 7 F(x) -2 6. 12 -5 4

A: Given table contain numerical values, We have to find f(4) by using langrage's method.

Q: Next que A uain's braking system is controlled by computer When braking occurs the velocity of the…

A:

Q: e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

A:

Q: 2n Using trigonometric substitution to solve x-2V4 – x²dx = S% f(0)d0. What is (a – b +")? 3

A:

Q: A car moves along a straight road in such a way that its velocity (in feet per second) at any time t…

A:

Q: C Classify AABC (Hint: solve for x first) (GCO.9a) B. A) Acute B) Obtuse 26х + 6° C) Right D)…

A: If one angle of triangle more than 90° then it is obtuse triangle If all angle less than 90° then it…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.