sove for m in terms of r and T. [(1-m)(1+r)]T=1/2

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

A:

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

A:

Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

A:

Q: Given the function C(r) = ( – 2r – 10)°( – 5r – 15)*, - its roots are and their multipicities are

A:

Q: Find (t) show that CÅ +t B) Perpencicular to 2 月にit2j+31k ,B=-i+zj +K って=3it) Find (t) E show that…

A:

Q: Let T: RP → R be defined by T() = Aã where -2 3 11 A = 1 -2 1 -1 -3 4 and let 6 %3D What is the…

A:

Q: Determined the values of A for which h(x) I saw continuous.

A: To determine the value of A for which the function given below is continuous,

Q: Use the formula k(t) k(t) = TEREST {|r' (t) × r"(t)|| ¡|r' (t)||³ r(t) = esti + e-tj to find (t).

A: The given curve rt=e5ti+e-tj

Q: (a) Find the approximations T4 and M4 for 7el/x dx. (Rou T4 = %3D %3D

A: We have to find approximations T4 and M4 for the integral ∫127e1xdx Here T4 stands for trapezoidal…

Q: Use the convolution theorem to find f (t) 14 l(s+2)(s-5))

A:

Q: 10e? dz by residue theorem, where C'is the contour z| = 2 1:4 + 52ª Evaluate

A: Complex integration

Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: Use the formula ‹(t) k(t): = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = e³ti + e-tj to find (t).

A: Given r(t)=e3ti+e-tj. Find k(t) by using formula k(t)=r'(t)×r''(t)r'(t)3.

Q: 3. PS bisects ZP of A PQR. If QS = 2x - 4 and SR = x+1, PQ = 8 and PR = 5, find the length of SR and…

A:

Q: Determine the intervals in which solutions are sure to exist. t(t − 2)y(4) + e¹y" + 6t²y = 0 Enter…

A: As per the question we are given a forth order linear differential equation as : t(t-2)y(4) + ety''…

Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: Determine constants a, b, c and d that will produce a quadrature formula f (x) dæ z af (-1)+bf (1) +…

A:

Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

A:

Q: Find V²f by the formula V²ƒ =div(grad f) given f(x,y, z) = e³wyz grad f = [| V²f =

A:

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

A: K(t)=?

Q: Q2: Find the aren bounehd by y=x and y =X+2

A:

Q: For x=e2 y= In 2t, find the value of k so that ky'=1 at x=e

A: Given: x=e2ty=ln 2t

Q: Use the formula k(t) : ||r() × r"(t)|| to find K(t). %3D r(t) = t²i + t®j %3D

A: Given that,     r(t)=t2i+t9j

Q: Use the formula k(t) ||r(t) × r"(t)|| to find «(t). %3D r(t) = t²i + t°j K(t)

A: We have to find the value of k(t).

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | F(x)dx = af(0) +…

A: Given: The function is  ∫02 f(x) dx ≈ af(0)+ bf(1) + cf(2) To find: The value of a, b, and c.

Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

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: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

A:

Q: Find r'(t) r(t) = e-ti + 5j + 4te'k r'(t) =

A:

Q: Write a in the form a = a-T + an N at t-0 for R(t) = t²i+

A: Given Rt¯=t2i+t+13t2j+t−13t2k We have to write a in the form a=aTT+aNN Since, Rt¯=t2,t+13t2,t−13t2…

Q: (a) Find the effective noise Temperature Ts of an equivalent resistor with resistance equal to the…

A:

Q: g(x) is obtained from y = T by stretching horizontally by a factor of 2, reflecting vertically about…

A: Given: The original function is: y=x   The graph of the original function is given by:

Q: Find r'(t) r(t) = 8/ti + t?Vij + In(t² )k

A: We will solve the following.

Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

A:

Q: Find the number in the interval [0, 9] such that the number minus its square is as follows. (a) as…

A: To determine the number in the interval [0, 9] where the given function is large as possible and…

Q: find the unKnown X the tow. equal metries atb to 2(646)46 to where a and b are Constantts

A: Do factorisation division to deduce the factors

Q: Given that (r²- (x² – 4)? y = x>2 show that Ax² + 12 dy x>2 dr x*(r² - 4)? where A is a a constant…

A: From property of derivatives,

Q: -E- x2 and S: R2 → R², 4. Let T : R² → R², x-y (a) Find (SoT)(u) where u := E R?. (b) Find a…

A:

Q: 3. In APQR, PX bisects ZP. If X lies on QR and RX = 10, PR=25, and PQ is 1 more than twice QX, find…

A:

Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

A:

Q: 2. For what value(s) of h, y belongs to Span {v1, v2, v3}? Where 5 -3 V2 = -4 V3 ,and y = 3 h

A:

Q: a) Given that y = 2t2 +t - 6 and x t2 -3t +5, %3D Find x in terms of t i. ii. in terms of t

A: Hello thanks for your question but according to our policy I am answering the very first question.…

Q: h(t)= -2t^3 + 23t^2 - 59t + 24 Why do you think this model's practical domain is only valid from…

A: Polynomial function

Q: Use the formula «(t) ||r'(t) × r"(t)|| to find «(t). r(t) = e12i + e-j K(t) = %3D

A:

Q: For f(x, y) = ln(2x+16)/(2y+16) , find the domain.

A:

Q: Write a in the form a = arT + an N at t-0 for R(t) = t2i +

A:

Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t2 – 1

A:

Q: The formula for the midpoint of (x1, y1) and (x2, Y2) is: M =| O True O False

A: