Find m/TSR if m/QSR = 130° and mZTSQ = 29°. T R

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 y=sin?t+ tant, x= - In(- cost) – esinr, find the value of y' when t= 4 A) B) 2+ Vze V? C) 2-Vze ?…

A:

Q: Q. Find F(s): e-Tt St cos? 3t dt.

A: Q. The given integration is,∫0tt cos23t dt

Q: HW3 Find dCSe tsinht sint dt)

A: Laplace transferom of Integrals

Q: Ex:57 Find the FisiE of the Juuctiou sin TIt ZL oくtくし - siu -Lくtく

A: Given, The formula for the Fourier series expansion is,

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

A:

Q: Find of the following functions. dx (a) y = sec(6a?) (b)y = sinbx+ cos5x (c) y = cot-'(v6 – x²)

A:

Q: Evaluate : L[t cos h 6t]

A: To evaluate: Lt cosh 6t

Q: Find the following for the given equation. r(t) = (e-t, 3t², 2 tan(t)) (a) r(t) = (b) r(t) = (c)…

A:

Q: dy Given: y=tan22Ø. Find dØ

A:

Q: dt cos?(t) V5 + tan(t)

A:

Q: The position of a particle is given by x(t)= sin(t2). Find formulas for the velocity, v(t) and the…

A:

Q: f(t) = cos(4t + 5) + e-tu(t – 6) + tcosh²4t |

A:

Q: The velocity of a body is given by v(t) = sin (Ttt), where the velocity is given in meters per…

A: To find the distance between two point we use the following formula : Distance between two point…

Q: ? cos i dt

A: You must have idea about integration by parts.

Q: Find if dy y = e2 sin x Choose the correct answer.

A:

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

A:

Q: cos A where A = atjb

A:

Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

A:

Q: Match the following. C. Internal Tangents B. External Tangents A. Tangent 2. 1. Choose ] B [ Choose…

A: to match the given tangents

Q: Q4) Choose the correct answer for followings: i) S S, sino dx dy a. sine b. cose с. п d. π/2

A:

Q: Differentiate.

A: Consider the provided function, y=cosetan3x Differentiate the provided function with respect to x.

Q: L {t?cos t}.

A:

Q: Calculate :| t' sin(t) dt [Hint: At some point in the solution, it might be helpful to write t as t2…

A:

Q: H.W Y= Sin *る

A: Given, y=sinuu=x2ex Substituting u in y we get, y=sinuy=sinx2ex Differentiating equation (1) with…

Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: The blood pressure (B) of an athlete is given by: B(t) = 20 sin [(8pi t)/3] + 90. If his blood…

A: According to question,Given equation,Bt = 20 sin 8πt3+90,

Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

A:

Q: Q1: find dx of the following statement: a) y = cos? sec

A:

Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: f(t) = cos(2t + 3) + e¬tu(t – 4) + tcosh²2t

A:

Q: Solve the equation dy + (cot t) y = sin t dr

A:

Q: Use the figure to find the bearing from O to P. N W- +E 10° S

A: Given

Q: bn = s(t) sin(nw,t)dt %3D

A: Given :-  bn = ∫-T02T02 st sin nw0t dt

Q: Find the following for the given equation. r(t) = (e-t, 4t2, 9 tan(t)) (a) r'(t) (b) r"(t) = %3D (c)…

A:

Q: determine L[f ∗g]. Q. f(t)=t, g(t)=sint.

A:

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: The velocity of a body at time t is given as: vt=9π2cos3π2t On integrating v(t) with respect to t we…

Q: Evaluate the integrals

A: To find the integral ∫0π4sect i+tan2t j-tsint kdt

Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

Q: cos Vi dt b. I= Jesin Si Vt sin ſī 36

A:

Q: Find the following for the given equation. r(t) = (e¯t, 3t², 6 tan(t)) (a) r'(t) = (b) r"(t) = (C)…

A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

Q: solve the following P.D.E: ди + u at

A: In this question, we solve the heat equation with the source by using the separation of variables.…

Q: ar/ Find the Particalar fntegral Por the gue differestial アration te dzy + 16y= e + Cos 40 dx2

A: 2)

Q: Solve for the specified variable.

A: The given expression for the period of the pendulum is, T=2πlg We need to solve the equation for l…

Q: TT sec zdz

A:

Q: Find the following for the given equation. r(t) = (e-t, 5t², 5 tan(t)) (a) r(t) = (b) r"(t) = (c)…

A:

Q: Find 16. f t sinh mt dt 17. e sin 30 d0 18. ecos 20 de

A: detail solution is given below.

Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

A:

Q: dw Given w = 2ye? sin(xz), find : dw and dz dy

A:

Q: π ,t<. 3 b) Let y(t)= 1? + sint , find L(y(t)) 3

A: