Q: Evaluate the line integral curve C : x = 4 cost, y = 8 sint (0 ≤ t ≤7 < NOTE: Enter the exact…
A:
Q: dx 1s+ kıl35-x) +kaly-x) dy %3D dt k, , k. k3 are Con Stants.
A: Given system is dxdt=15+k135-x+k2y-xdydt=k2x-y+k335-y Here, 1k1=5⇒k1=151k2=10⇒k2=1101k3=5⇒k3=15 So,…
Q: Evaluate the line integral / (x +8y)dx + (5x – 4y)dy along the - curve C : x = 8 cos t, y = 16 sin t…
A:
Q: Evaluate the line integral / (9x + 10y)dx + (5x – 6y)dy along the curve C : a = 6 cos t, y = 12 sint…
A:
Q: (a) By using thẻ chain rülé and the dérivative (1, (1xl) = {"1, if x>0 if x<0' d %3D dx 1-1, find -…
A:
Q: Evaluate the line integral (8x + 7y)dx + (2x - 7y)dy along the curve C: a = 8 cos t, y = 16 sin t (0…
A:
Q: Let y = V7-T. Find the differential dy when r = 4 and dr 0.2 Find the differential dy when r = 4 and…
A:
Q: Q2/ by using chain Rule to find dw at t = 1 if dt w = 2ye* – Inz ,x = In(t? + 1), y = tan 1t,z = et
A:
Q: Suppose that a point is moving along the path xy= 1 so that dy/dt=4. Find dx/dt when x=3. dx/dt=?
A:
Q: b) Evaluate S(2y + 4z)dx + (2æ + 3z)dy + (4x + 3y)dz, where C is the curve given by r(t) = for 0 <t…
A: given ∫C2y+4zdx+2x+3zdy+4x+3ydz where C is the curve given by rt=t3,2sinπt2,3cosπt2 for 0≤t≤1…
Q: An object is moving along a path defined by the graph x^2+y^2=18 Compute dy/dy, if dx/dt=-2,…
A: According to the question:
Q: Evaluate the line integral / (7x + 3y)dx + (2x – 8y)dy along the curve C: x = 8 cos t, y = 16 sin t…
A:
Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.
A:
Q: - Sva cos 2t dt from x= 0 to x= Find the length of the curve y =
A:
Q: Evaluate (2x-y)dx+(x+3y)dy along the path C: curve on y = 1-x² from (0,1) to (1,0).
A: Given the line integralI=∫C(2x−y)dx+(x+3y)dyCurve y=1−x2
Q: Find the location and velocity at t = 4 of a particle whose path satisfies dt dr (3t-1/2, 5, 8t) and…
A:
Q: Differentiate: y = /16 – z² – 4 arccos() e+4 y' = Oy= Oy- %3D
A: Given that : y = √(16 - x2) - 4arccos(x/4). We find derivative of this function (y). Here i…
Q: Evaluate the line integral / (2x + 4y)dx + (2x – 9y)dy along the curve C : x = 4 cos t, y = 8 sin t…
A: Solution is given below:
Q: Evaluate the line integral / (7x + 5y)dx + (3x – 9y)dy along the - curve C: x =2 cos t, y = 4 sin t…
A:
Q: (a) A beam is fixed at its left end x = 0 but is simply sup- ported at the other end x = L. Show…
A:
Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the
A: Given:- y=sin(cos-1(t)) To find:- y'
Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny)…
A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas…
Q: Find dw/ds and aw/at using the appropriate Chain Rule. Function Point w = sin(5x + 6y) X = s + t, y…
A: According to guidelines we solve only first three parts.
Q: L{t}(s) = / t dt te -at %3D
A: Here we use integration by parts.
Q: Evaluate the line integral curve C: x = = 4 cost, y (5x + 7y)dx + (3x − 6y)dy along the = 8 sint (0…
A:
Q: dy Sølve +y = 0, under the conditions that y= 1, dy 0. when t = 0. dt %3D
A:
Q: dy 2. sec²y secx dx ;y(0)=0
A: The given differential equation is dysec2y=dxsecx and y(0)=0
Q: dy Find for y = cos (8at + 1). dt dy dt
A: We have to find out dy/dt for given y
Q: Evaluate the line integral (5x + 8y)dx + (3x – 5y)dy along the - curve C : x = 10 cos t, y = 20 sin…
A:
Q: Integrate f(x,y) = x-5y over the curve C: x +y = 64 in the first quadrant from (0,8) to (V32,/32).…
A: Formula Used:Line integral ∫Cf(x, y) ds=∫abf(x(t), y(t)) dxdt2+dydt2dt
Q: Find the length of the curve y = V cos 2t dt from x= 0 to x = 4
A:
Q: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x…
A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)
Q: dy at z = 5 if y = 5x² + 4 and dt dz Find 3. dt dy dt
A: Given y=5x2+4 -1and dxdt=3
Q: Let y = tan(3r + 4). Find the differential dy when z = 2 and dr 0.1 %3D Find the differential dy…
A:
Q: Evaluate the line integral / (6x + 8y)dx + (4x – 8y)dy along the curve C: x = 2 cos t, y = 4 sint…
A:
Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx+ x?dy by the curve y = x and y = x2.
A:
Q: Evaluate the line integral / (3x + 7y)dx + (2x – 3y)dy along the curve C: x = 6 cos t, y 12 sin t…
A:
Q: Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 −…
A: we can solve by this implicit differentiation, so,
Q: Let z(x, y) = 2x2 3y2 where x = 2s – 4t & y = 9s + 8t. | dx dy ду az Calculate ds dz & and using the…
A: We have to find all first order partial derivatives.
Q: computes curve length for 0
A:
Q: Q3) Compute for y(x) = csc3(4x) + 2x – 3 and x(t) = 4sin t² at t=1 dt %3D
A: Let y(x)=csc3(4x)+2x-3 and x(t)=4sint2 Differentiate y(x) with respect to x…
Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the T curve C : x = 10 cos t, y = 20 sin…
A:
Q: Evaluate the line integral [(x + 7y)dx + (2x − 3y)dy along the curve C: x = 4 cost, y = 8 sint (0…
A: line integral
Q: Evaluate the line integral (6x + 8y)dx + (3x – 3y)dy along the curve C: x = 4 cos t, y = 8 sint…
A:
Q: Compute ∫C(ln(x + 5) - x2y)dx + (xy2 + sin(ey))dy. C is a unit circle with counterclockwise…
A: We need to compute ∫C(ln(x + 5) - x2y)dx + (xy2 + sin(ey))dywhere c is a unit circle Equation of…
Q: Evaluate the line integral (2x + 4y)dx + (3x – 9y)dy along the curve C : æ = 2 cos t, y = 4 sin t (0…
A: We need to evaluate integral.
Q: Evaluate the line integral / (4x + 8y)d.x + (4x – 9y)dy along the curve C : x = 10 cos t, y = 20…
A:
Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx + x²dy by the curve y y = x2.
A:
Q: Evaluate 2.xyz dx + x²zdy +x²ydz over the path r(t) = (t², sin(nt/4), e'“-2') for 0 <t<2.
A: The given integral is: I=∫C 2xyz dx+x2z dy+x2y dzOver the path: r(t)=t2, sinπt4, et2-2t for…
Step by step
Solved in 2 steps with 1 images
- Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.What is the moment of inertia about the x-axis bounded by the curves y² = -16(x-4), the line 8x-15y = 0 and the x-axis.Find the length of parametrized curve given by x(t) = 6t2 + 12t, y(t) = -4t3- 12t2 - 9t where t goes from 0 to 1