rl+ 4sino

Q: solution

A:

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 3…

A:

Q: 1. dt 15. y= 17. y 0 tan 0 d0

A:

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: Given :r(t)=6costi+6sintj

Q: Question 17 Find the area of the region(s) enclosed by the curve f(x) = x°, the x-axis, and the…

A:

Q: lim 48V x 487Y

A:

Q: Find the conservative vector field for the potential function by finding its gradient. h(x, y, z) =…

A: We have to find the conservative vector field.

Q: a 0 0 0 0b0 0 0 0 c 0 0 0 0 d Using cofactor method, prove that det M = = abcd

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

Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

A:

Q: Question 10 Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B)…

A:

Q: y=2\4-x²

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e2i + Sin(/e) j+e-k 7t

A: Limt-0 (e2ti+sin(7t)j/(7t) +e-5tk).

Q: Find the following for the given equation. r(t) = (e, 5t?, 6 tan(t)) (a) r'(t) = (b) r"(t) = (c)…

A:

Q: ||r'(t) x r' r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||* r(t) = t'i+ t5j K(t) =

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 4 cos(t)i…

A: To find unit tangent vector at given parameter.

Q: Use the first six non-zero terms of the Maclaurin series expansions for sin x and cos x to…

A: From the Maclaurin series expansion of sin x and cos x: sin x≈x-x33!+x55!-x77!+x99!-x1111!cos…

Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

A:

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 area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

A:

Q: Evaluate the triple integral. xy sin(yz) dV, where G is the rectangular box defined by the…

A:

Q: Use Power Series to Solve the following Differential Equations: y'' - y = 0

A:

Q: Evaluate the definite integral. 9ti +3t'j + Vtk) dt

A: The given integral,          ∫-119t i+3t3 j+t3kdt

Q: Question 3 Express the area of the given surface as an iterated double integral, and then find the…

A: Let's find.

Q: 7. -4 3. ) -3 7. 1) 10. 2)

A:

Q: Skatch the curve in polar coordinates. r=I+ 3sino 2 -6 -4 -4

A: Given curve r= 1+ 3sin( theta)

Q: Find V · (F × G), if F(x, y, z) = 2xi+j+14yk and G(x, y, z) = xi + yj – zk. | V · (F x G) =

A:

Q: e

A:

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.

Q: A conical tank with a diameter of 2 m across the top and 3 m high is filled with water. Find the…

A: The given problem is solved below in detail.

Q: sin° xcos xdx x cos'

A: We will use substitution method to solve this definite integral.

Q: Find [r(t) u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) j+…

A:

Q: Find lim f(x) for the given piecewise function. x-4 2х + 5 if x 4 If the limit does not exist,…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 4…

A:

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: [7 -3] A = 4 6 B…

A: We know that for a matrix A=abcd=ad-bcA=7-346=7*6-(-3*4)                       =42+12…

Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

Q: A property has been mapped, and the height above sea level is determined to be represented by the…

A: Given a scalar field representative of height.

Q: Find the curvature and the radius of curvature at the point t = 0. %3D = e' cos(t), y = e' sin(t), z…

A: Given

Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P (x) and…

A:

Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

A:

Q: Let f(x) = 9x* + xx² + e2*. Compute f©(x). (Use symbolic notation and fractions where needed.) f9(x)…

A: Compute 5th derivative of f(x)

Q: Use a double integral to find the volume under the plane z=38x+y and over the rectangle…

A: We have to find the volume using double integration.

Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x and…

A:

Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

A:

Q: The productivity of a major manufacturer of microwave ovens is given approximately by…

A: Given problem:- The productivity of a major manufacturer of microwave ovens is given approximately…

Q: Determine the volume of the solid obtained by roteting the region bounded by y=x^2-2 and y=x about…

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) dx…

A:

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: