Find the arc length of the curve on the given interval. (Round your answer to three decimal places.) Parametric Equations x = 6t + 5, y = 7 - 3t Interval -1 sts 3

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: ACTIVITY 1: Determine if the following functions are continuous at the given value of x. If the…

A:

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 1. Evaluate (i) dy dx, 3

A:

Q: Department of water Resources Eng. A.L. Fatima Kumait Al-Zubaidy Q1): Find the point (x, y, z) that…

A:

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

A:

Q: S3x*(3x5 - 5) dx 11.What is the inner/main function ? 12. What is the derivative of the inner/main…

A:

Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

A:

Q: Suppose x? + y + z² = 1 and z = g(x, y) > 0. Determine g Su (글, 글). 1 1 2

A:

Q: Sec Qydy.

A:

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %— — 5. - dx 2y

A:

Q: 2r³ – 4x² – x – 3 dx x² – 2x – 3 in |x + 1|+ 3 In|x – 3| + C in Ix + 1|- 3 Inlx – 3| + C Option 1…

A: Given

Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

A:

Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

A:

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

A:

Q: CIT *(z + 2) dx dy dz 2. Evaluate

A:

Q: Example 2: Find the Fourier series 1, - 1<x < 0 f(x) = { 1," 0 <x < 1

A:

Q: 7. Evaluate the following: (2x2y 2+2y)dy dx A. 3.0 B. 5.4 С. 2.3 D. 4.9

A: Given query is to find the value of the integral.

Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…

A: Given;  Radius=9cm dr/dt=0.4 cm/min

Q: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: x dx dy _dy V4 +

A:

Q: 8. f2*Inx dx(ו1 + In)x

A:

Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: dy (y casxy +)dx+ =e (xcosty +2y=3) dy

A:

Q: dx V(z – 2)° – 11 Vxt-2)* - || x - 2 du 1 (steps) da = /11 du: V1I u = x-2 du = dx Substitute u =…

A:

Q: x² – 2 (x + 2)(x + 1)² 1 + x + 2 x + 2 (x + 1)? x + 1 (x + 1)² Option 1 Option 2 1 1 2 1 x + 2 x +1…

A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

A:

Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

A:

Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

A:

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

A:

Q: 3. (a) y(8) when y=cos 2x

A:

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 2.F(s) = s4+s2

A:

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

A:

Q: The matrix given is in reduced echelon form: 1  0  5  -2 0  1  4   1 0  0  0   0  Write the…

A: To write the matrix equations.

Q: 3.f(x) = (2x+3 if x =1 2 if x=1 4. (x)= {3+x if x s1

A: (3)f(x)=2x+3 if  x≠12     if  x=1limx→1-f(x)=limx→1-2x+3=5limx→1+f(x)=limx→1+2x+3=5f(1)=2it is…

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

A:

Q: (ax-2) dx x2+ 2X + 15

A:

Q: L(sin 2t cos 2t)

A:

Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…

Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .